[{"data":1,"prerenderedAt":20694},["ShallowReactive",2],{"series:index":3,"content:\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture6":225,"surround:\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture6":20691},[4,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,84,89,94,98,103,108,113,118,123,128,133,138,143,148,153,158,163,168,173,178,182,186,190,195,200,204,208,212,216,220],{"stem":5,"path":6,"title":7,"date":8,"collapsed":9},"posts\u002F2024\u002FXZZD-Aquire-Score","\u002F2024\u002F10\u002F23\u002FXZZD-Aquire-Score","XZZD_Aquire_Score","2024-10-23 15:08:30",false,{"stem":11,"path":12,"title":13,"date":14,"collapsed":9},"posts\u002F2024\u002Felec-design-contest-2024","\u002F2024\u002F07\u002F07\u002Felec-design-contest-2024","东四——隐秘的角落","2024-07-07 11:44:32",{"stem":16,"path":17,"title":18,"date":19,"collapsed":9},"posts\u002F2024\u002Fmechanics","\u002F2024\u002F07\u002F08\u002Fmechanics","about力学","2024-07-08 14:14:07",{"stem":21,"path":22,"title":23,"date":24,"collapsed":9},"posts\u002F2025\u002F25GElecDesignContest","\u002F2025\u002F08\u002F26\u002F25GElecDesignContest","纪念最好的大二五组 - Soleil 的 电赛回忆录","2025-08-26 11:06:33",{"stem":26,"path":27,"title":28,"date":29,"collapsed":9},"posts\u002F2025\u002FEngineering-Innovation","\u002F2025\u002F01\u002F20\u002FEngineering-Innovation","工程实践与创新能力大赛","2025-01-20 22:20:59",{"stem":31,"path":32,"title":33,"date":34,"collapsed":9},"posts\u002F2025\u002FTOP","\u002F2025\u002F01\u002F20\u002FTOP","置顶","3025-01-20 21:53:36",{"stem":36,"path":37,"title":38,"date":39,"collapsed":9},"posts\u002FUGCourses\u002F1.freshman-spring\u002Fengineering-drawing-notes","\u002F2024\u002F06\u002F30\u002Fengineering-drawing-notes","工程图学期末复习","2024-06-30 21:02:09",{"stem":41,"path":42,"title":43,"date":44,"collapsed":9},"posts\u002FUGCourses\u002F1.freshman-spring\u002Findex","\u002Fugcourses\u002Ffreshman-spring","大一春夏","2024-06-30 19:15:28",{"stem":46,"path":47,"title":48,"date":49,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002FComplex-Analysis","\u002F2025\u002F01\u002F21\u002FComplex-Analysis","复变函数与积分变换","2025-01-21 13:23:59",{"stem":51,"path":52,"title":53,"date":54,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002FFundamentalsMarxism","\u002F2025\u002F06\u002F06\u002FFundamentalsMarxism","马克思主义基本原理","2025-06-06 00:22:45",{"stem":56,"path":57,"title":58,"date":59,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002FMathematical-Modeling","\u002F2024\u002F09\u002F22\u002FMathematical-Modeling","数学建模（课程）","2024-09-22 19:07:42",{"stem":61,"path":62,"title":63,"date":64,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002FMicroelectronic-Circuits","\u002F2025\u002F01\u002F20\u002FMicroelectronic-Circuits","电基小子","2025-01-20 23:02:49",{"stem":66,"path":67,"title":68,"date":69,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002FMumerical-Analysis","\u002F2024\u002F09\u002F19\u002FMumerical-Analysis","数值分析方法","2024-09-19 17:12:56",{"stem":71,"path":72,"title":73,"date":74,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002FProbability-Theory","\u002F2025\u002F01\u002F21\u002FProbability-Theory","概率论与数理统计","2025-01-21 12:52:11",{"stem":76,"path":77,"title":78,"date":79,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002Fengineering-training","\u002F2024\u002F09\u002F17\u002Fengineering-training","工程训练","2024-09-17 21:40:26",{"stem":81,"path":82,"title":83,"date":44,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002Findex","\u002Fugcourses\u002Fsophomore-autumn","大二秋冬",{"stem":85,"path":86,"title":87,"date":88,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002Fsolid-state-physics","\u002F2024\u002F09\u002F11\u002Fsolid-state-physics","固体物理基础","2024-09-11 19:15:26",{"stem":90,"path":91,"title":92,"date":93,"collapsed":9},"posts\u002FUGCourses\u002F3.sophomore-spring\u002FMaoTheory","\u002F2025\u002F06\u002F12\u002FMaoTheory","毛概","2025-06-12 14:58:16",{"stem":95,"path":96,"title":97,"date":44,"collapsed":9},"posts\u002FUGCourses\u002F3.sophomore-spring\u002Findex","\u002Fugcourses\u002Fsophomore-spring","大二春夏",{"stem":99,"path":100,"title":101,"date":102,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture1","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture1","Lecture 1：摩尔定律与 CMOS","2026-09-09 19:39:00",{"stem":104,"path":105,"title":106,"date":107,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture10","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture10","Lecture 10：从 MOS 电容到 MOSFET","2026-09-10 00:10:00",{"stem":109,"path":110,"title":111,"date":112,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture11","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture11","Lecture 11：亚阈值效应与 MOSFET 尺寸缩放","2026-09-10 00:20:00",{"stem":114,"path":115,"title":116,"date":117,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture12","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture12","Lecture 12：MOSFET 尺寸缩微","2026-09-10 00:30:00",{"stem":119,"path":120,"title":121,"date":122,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture13","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture13","Lecture 13：MOS 新范式","2026-09-10 00:40:00",{"stem":124,"path":125,"title":126,"date":127,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture2","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture2","Lecture 2：半导体基础","2026-09-09 19:39:31",{"stem":129,"path":130,"title":131,"date":132,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture3","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture3","Lecture 3：费米能级、载流子散射与迁移率","2026-09-09 21:00:00",{"stem":134,"path":135,"title":136,"date":137,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture4","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture4","Lecture 4：漂移电流、扩散电流与产生复合","2026-09-09 23:00:00",{"stem":139,"path":140,"title":141,"date":142,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture5","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture5","Lecture 5：PN 结与耗尽区","2026-09-09 23:10:00",{"stem":144,"path":145,"title":146,"date":147,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture6","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture6","Lecture 6：正向偏置 PN 结与理想二极管方程","2026-09-09 23:20:00",{"stem":149,"path":150,"title":151,"date":152,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture7","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture7","Lecture 7：金半接触","2026-09-09 23:40:00",{"stem":154,"path":155,"title":156,"date":157,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture8","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture8","Lecture 8：PN 结在光电领域的应用","2026-09-09 23:50:00",{"stem":159,"path":160,"title":161,"date":162,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture9","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture9","Lecture 9：MOS 电容","2026-09-10 00:00:00",{"stem":164,"path":165,"title":166,"date":167,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FMidtermExam","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Fmidtermexam","期中复习题","2026-09-09 23:30:00",{"stem":169,"path":170,"title":171,"date":172,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FMockExam","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Fmockexam","押题密卷","2026-09-10 00:50:00",{"stem":174,"path":175,"title":176,"date":102,"collapsed":177},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002Findex","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices","微电子器件",true,{"stem":179,"path":180,"title":181,"date":44,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002Findex","\u002Fugcourses\u002Fjunior-autumn","大三秋冬",{"stem":183,"path":184,"title":185,"date":44,"collapsed":9},"posts\u002FUGCourses\u002F5.junior-spring\u002Findex","\u002Fugcourses\u002Fjunior-spring","大三春夏",{"stem":187,"path":188,"title":189,"date":44,"collapsed":9},"posts\u002FUGCourses\u002Findex","\u002Fugcourses","本科课程",{"stem":191,"path":192,"title":193,"date":194,"collapsed":9},"posts\u002Fubuntu\u002F1.config","\u002Fubuntu\u002Fconfig","ubuntu 系统配置","2025-08-26 19:38:06",{"stem":196,"path":197,"title":198,"date":199,"collapsed":9},"posts\u002Fubuntu\u002F2.cadence\u002F1.mmsim","\u002Fubuntu\u002Fcadence\u002Fmmsim","在 Ubuntu 24.04 上安装 Cadence MMSIM 15.1 的兼容性问题","2026-09-09 14:06:40",{"stem":201,"path":202,"title":203,"date":199,"collapsed":9},"posts\u002Fubuntu\u002F2.cadence\u002F2.innovus","\u002Fubuntu\u002Fcadence\u002Finnovus","Innovus安装",{"stem":205,"path":206,"title":207,"date":199,"collapsed":9},"posts\u002Fubuntu\u002F2.cadence\u002Findex","\u002Fubuntu\u002Fcadence","Ubuntu24.04安装Cadence 系列软件",{"stem":209,"path":210,"title":211,"date":199,"collapsed":9},"posts\u002Fubuntu\u002F3.synopsys","\u002Fubuntu\u002Fsynopsys","Ubuntu 24.04 安装 Synopsys",{"stem":213,"path":214,"title":215,"date":199,"collapsed":9},"posts\u002Fubuntu\u002F4.vivado","\u002Fubuntu\u002Fvivado","Ubuntu 24.04 安装 Vivado 2020.1",{"stem":217,"path":218,"title":219,"date":199,"collapsed":9},"posts\u002Fubuntu\u002F5.migrate","\u002Fubuntu\u002Fmigrate","硬盘迁移系统",{"stem":221,"path":222,"title":223,"date":224,"collapsed":9},"posts\u002Fubuntu\u002Findex","\u002Fubuntu","Ubuntu装进移动硬盘","2025-08-25 19:38:06",{"id":226,"title":146,"body":227,"categories":20657,"collapsed":9,"date":147,"description":20658,"draft":9,"extension":20659,"hideInArchive":177,"hideInList":177,"image":20660,"meta":20661,"navigation":177,"path":145,"permalink":20660,"published":20660,"readingTime":20663,"recommend":20660,"references":20660,"seo":20668,"sitemap":20669,"stem":144,"tags":20687,"type":20689,"updated":147,"__hash__":20690},"content\u002Fposts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture6.md",{"type":228,"value":229,"toc":20606},"minimark",[230,240,245,276,465,468,472,478,923,928,933,1241,1246,1338,1342,1356,1698,1701,1713,2507,2509,2522,3169,3173,3178,3254,3259,3262,3266,3288,3291,3296,3299,3304,3308,3313,3318,3321,3325,3386,3389,4199,4202,4744,4747,4779,5185,5252,5645,5648,6044,6104,6399,6402,6566,6568,6572,6575,6579,6683,6982,7126,7129,7132,7360,7828,8061,8064,8439,8857,8860,9220,9224,9303,9554,9635,9638,9711,10398,10400,10404,10552,10555,10878,10881,10884,11174,11178,11210,11780,11783,13508,13512,13534,13554,13559,13562,13567,13570,13575,13650,13771,14122,14242,14246,14252,14256,15547,15554,18106,18110,18115,18119,18121,18125,18623,18655,18991,18994,19255,19648,20262],[231,232,233,237],"blockquote",{},[234,235,236],"p",{},"这一讲的核心是利用L4的输运方程和L5的势垒模型，推导PN结在正向偏置下的I-V特性",[234,238,239],{},"配合PPT食用更美味",[241,242,244],"h2",{"id":243},"一review","一、Review",[246,247,249],"table",{"style":248},"width: 100%; border: 0; border-collapse: collapse; border-spacing: 0;",[250,251,252],"tbody",{},[253,254,256,257,256,268],"tr",{"style":255},"border: none;","\n  ",[258,259,261,256],"td",{"style":260},"width: 50.3%; text-align: center; border: none; padding: 0.3em; margin: 0;",[234,262,263],{},[264,265],"img",{"alt":266,"src":267},"image.png","\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-03.png",[258,269,271,256],{"style":270},"width: 49.7%; text-align: center; border: none; padding: 0.3em; margin: 0;",[234,272,273],{},[264,274],{"alt":266,"src":275},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-01.png",[234,277,278,279,464],{},"P1  上一节的内容，主要是正向偏置，变成了（",[280,281,284,329],"span",{"className":282},[283],"katex",[280,285,288],{"className":286},[287],"katex-mathml",[289,290,292],"math",{"xmlns":291},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML",[293,294,295,324],"semantics",{},[296,297,298,313,317],"mrow",{},[299,300,301,305],"msub",{},[302,303,304],"mi",{},"V",[296,306,307,310],{},[302,308,309],{},"b",[302,311,312],{},"i",[314,315,316],"mo",{},"−",[299,318,319,321],{},[302,320,304],{},[302,322,323],{},"A",[325,326,328],"annotation",{"encoding":327},"application\u002Fx-tex","V_{bi}-V_A",[280,330,334,417],{"className":331,"ariaHidden":333},[332],"katex-html","true",[280,335,338,343,406,410,414],{"className":336},[337],"base",[280,339],{"className":340,"style":342},[341],"strut","height:0.8333em;vertical-align:-0.15em;",[280,344,347,352],{"className":345},[346],"mord",[280,348,304],{"className":349,"style":351},[346,350],"mathnormal","margin-right:0.2222em;",[280,353,356],{"className":354},[355],"msupsub",[280,357,361,397],{"className":358},[359,360],"vlist-t","vlist-t2",[280,362,365,392],{"className":363},[364],"vlist-r",[280,366,370],{"className":367,"style":369},[368],"vlist","height:0.3361em;",[280,371,373,378],{"style":372},"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;",[280,374],{"className":375,"style":377},[376],"pstrut","height:2.7em;",[280,379,385],{"className":380},[381,382,383,384],"sizing","reset-size6","size3","mtight",[280,386,388],{"className":387},[346,384],[280,389,391],{"className":390},[346,350,384],"bi",[280,393,396],{"className":394},[395],"vlist-s","​",[280,398,400],{"className":399},[364],[280,401,404],{"className":402,"style":403},[368],"height:0.15em;",[280,405],{},[280,407],{"className":408,"style":351},[409],"mspace",[280,411,316],{"className":412},[413],"mbin",[280,415],{"className":416,"style":351},[409],[280,418,420,423],{"className":419},[337],[280,421],{"className":422,"style":342},[341],[280,424,426,429],{"className":425},[346],[280,427,304],{"className":428,"style":351},[346,350],[280,430,432],{"className":431},[355],[280,433,435,456],{"className":434},[359,360],[280,436,438,453],{"className":437},[364],[280,439,442],{"className":440,"style":441},[368],"height:0.3283em;",[280,443,444,447],{"style":372},[280,445],{"className":446,"style":377},[376],[280,448,450],{"className":449},[381,382,383,384],[280,451,323],{"className":452},[346,350,384],[280,454,396],{"className":455},[395],[280,457,459],{"className":458},[364],[280,460,462],{"className":461,"style":403},[368],[280,463],{},"）",[234,466,467],{},"P2  上一节的内容，展示线性缓变结，依次积分，再积分。从电荷（一次函数）到电场（二次函数）到电势（三次函数）",[241,469,471],{"id":470},"二forward-biased-pn-junction-正向偏置","二、Forward Biased PN Junction | 正向偏置",[234,473,474],{},[264,475],{"alt":476,"src":477},"PixPin_2025-11-13_14-48-35.png","\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-09.png",[479,480,481,642,734,882],"ul",{},[482,483,484,488,634,635,639],"li",{},[485,486,487],"strong",{},"条件：",[280,489,491,524],{"className":490},[283],[280,492,494],{"className":493},[287],[289,495,496],{"xmlns":291},[293,497,498,521],{},[296,499,500,506,509,511],{},[299,501,502,504],{},[302,503,304],{},[302,505,323],{},[314,507,508],{},"\u003C",[314,510,508],{},[299,512,513,515],{},[302,514,304],{},[296,516,517,519],{},[302,518,309],{},[302,520,312],{},[325,522,523],{"encoding":327},"V_A\u003C\u003CV_{bi}",[280,525,527,585],{"className":526,"ariaHidden":333},[332],[280,528,530,533,573,577,582],{"className":529},[337],[280,531],{"className":532,"style":342},[341],[280,534,536,539],{"className":535},[346],[280,537,304],{"className":538,"style":351},[346,350],[280,540,542],{"className":541},[355],[280,543,545,565],{"className":544},[359,360],[280,546,548,562],{"className":547},[364],[280,549,551],{"className":550,"style":441},[368],[280,552,553,556],{"style":372},[280,554],{"className":555,"style":377},[376],[280,557,559],{"className":558},[381,382,383,384],[280,560,323],{"className":561},[346,350,384],[280,563,396],{"className":564},[395],[280,566,568],{"className":567},[364],[280,569,571],{"className":570,"style":403},[368],[280,572],{},[280,574],{"className":575,"style":576},[409],"margin-right:0.2778em;",[280,578,581],{"className":579},[580],"mrel","\u003C\u003C",[280,583],{"className":584,"style":576},[409],[280,586,588,591],{"className":587},[337],[280,589],{"className":590,"style":342},[341],[280,592,594,597],{"className":593},[346],[280,595,304],{"className":596,"style":351},[346,350],[280,598,600],{"className":599},[355],[280,601,603,626],{"className":602},[359,360],[280,604,606,623],{"className":605},[364],[280,607,609],{"className":608,"style":369},[368],[280,610,611,614],{"style":372},[280,612],{"className":613,"style":377},[376],[280,615,617],{"className":616},[381,382,383,384],[280,618,620],{"className":619},[346,384],[280,621,391],{"className":622},[346,350,384],[280,624,396],{"className":625},[395],[280,627,629],{"className":628},[364],[280,630,632],{"className":631,"style":403},[368],[280,633],{},"  ",[636,637,638],"mark",{},"(否则不满足Low level injection)",[264,640],{"alt":266,"src":641},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-06.png",[482,643,644,647,652,653,731],{},[636,645,646],{},"加入正向偏置电压，n区fermi-level被抬高，p区Fermi-level被拉低，落差变小，N区的能带相对P区",[636,648,649],{},[485,650,651],{},"抬高"," ",[280,654,656,677],{"className":655},[283],[280,657,659],{"className":658},[287],[289,660,661],{"xmlns":291},[293,662,663,674],{},[296,664,665,668],{},[302,666,667],{},"q",[299,669,670,672],{},[302,671,304],{},[302,673,323],{},[325,675,676],{"encoding":327},"qV_A",[280,678,680],{"className":679,"ariaHidden":333},[332],[280,681,683,687,691],{"className":682},[337],[280,684],{"className":685,"style":686},[341],"height:0.8778em;vertical-align:-0.1944em;",[280,688,667],{"className":689,"style":690},[346,350],"margin-right:0.0359em;",[280,692,694,697],{"className":693},[346],[280,695,304],{"className":696,"style":351},[346,350],[280,698,700],{"className":699},[355],[280,701,703,723],{"className":702},[359,360],[280,704,706,720],{"className":705},[364],[280,707,709],{"className":708,"style":441},[368],[280,710,711,714],{"style":372},[280,712],{"className":713,"style":377},[376],[280,715,717],{"className":716},[381,382,383,384],[280,718,323],{"className":719},[346,350,384],[280,721,396],{"className":722},[395],[280,724,726],{"className":725},[364],[280,727,729],{"className":728,"style":403},[368],[280,730],{},[636,732,733],{},"。(Ec或者Ev高的是P区)",[482,735,736,737,740,741,881],{},"外加电场与内建电场方向相反，总势垒",[485,738,739],{},"降低","为 ",[280,742,744,774],{"className":743},[283],[280,745,747],{"className":746},[287],[289,748,749],{"xmlns":291},[293,750,751,771],{},[296,752,753,763,765],{},[299,754,755,757],{},[302,756,304],{},[296,758,759,761],{},[302,760,309],{},[302,762,312],{},[314,764,316],{},[299,766,767,769],{},[302,768,304],{},[302,770,323],{},[325,772,773],{"encoding":327},"V_{bi} - V_A",[280,775,777,835],{"className":776,"ariaHidden":333},[332],[280,778,780,783,826,829,832],{"className":779},[337],[280,781],{"className":782,"style":342},[341],[280,784,786,789],{"className":785},[346],[280,787,304],{"className":788,"style":351},[346,350],[280,790,792],{"className":791},[355],[280,793,795,818],{"className":794},[359,360],[280,796,798,815],{"className":797},[364],[280,799,801],{"className":800,"style":369},[368],[280,802,803,806],{"style":372},[280,804],{"className":805,"style":377},[376],[280,807,809],{"className":808},[381,382,383,384],[280,810,812],{"className":811},[346,384],[280,813,391],{"className":814},[346,350,384],[280,816,396],{"className":817},[395],[280,819,821],{"className":820},[364],[280,822,824],{"className":823,"style":403},[368],[280,825],{},[280,827],{"className":828,"style":351},[409],[280,830,316],{"className":831},[413],[280,833],{"className":834,"style":351},[409],[280,836,838,841],{"className":837},[337],[280,839],{"className":840,"style":342},[341],[280,842,844,847],{"className":843},[346],[280,845,304],{"className":846,"style":351},[346,350],[280,848,850],{"className":849},[355],[280,851,853,873],{"className":852},[359,360],[280,854,856,870],{"className":855},[364],[280,857,859],{"className":858,"style":441},[368],[280,860,861,864],{"style":372},[280,862],{"className":863,"style":377},[376],[280,865,867],{"className":866},[381,382,383,384],[280,868,323],{"className":869},[346,350,384],[280,871,396],{"className":872},[395],[280,874,876],{"className":875},[364],[280,877,879],{"className":878,"style":403},[368],[280,880],{},"。",[482,883,884,885,652,916,919,920],{},"耗尽层宽度 ",[280,886,888,902],{"className":887},[283],[280,889,891],{"className":890},[287],[289,892,893],{"xmlns":291},[293,894,895,900],{},[296,896,897],{},[302,898,899],{},"W",[325,901,899],{"encoding":327},[280,903,905],{"className":904,"ariaHidden":333},[332],[280,906,908,912],{"className":907},[337],[280,909],{"className":910,"style":911},[341],"height:0.6833em;",[280,913,899],{"className":914,"style":915},[346,350],"margin-right:0.1389em;",[485,917,918],{},"变窄"," 。\n",[264,921],{"alt":266,"src":922},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-08.png",[234,924,925],{},[636,926,927],{},"少子注入（在准中性区完成和另一边的多数载流子的复合）",[234,929,930],{},[264,931],{"alt":266,"src":932},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-05.png",[234,934,935,936,1032,1033,652,1036,1140,652,1143,1240],{},"When a forward bias (",[280,937,939,964],{"className":938},[283],[280,940,942],{"className":941},[287],[289,943,944],{"xmlns":291},[293,945,946,961],{},[296,947,948,954,957],{},[299,949,950,952],{},[302,951,304],{},[302,953,323],{},[314,955,956],{},">",[958,959,960],"mn",{},"0",[325,962,963],{"encoding":327},"V_A > 0",[280,965,967,1022],{"className":966,"ariaHidden":333},[332],[280,968,970,973,1013,1016,1019],{"className":969},[337],[280,971],{"className":972,"style":342},[341],[280,974,976,979],{"className":975},[346],[280,977,304],{"className":978,"style":351},[346,350],[280,980,982],{"className":981},[355],[280,983,985,1005],{"className":984},[359,360],[280,986,988,1002],{"className":987},[364],[280,989,991],{"className":990,"style":441},[368],[280,992,993,996],{"style":372},[280,994],{"className":995,"style":377},[376],[280,997,999],{"className":998},[381,382,383,384],[280,1000,323],{"className":1001},[346,350,384],[280,1003,396],{"className":1004},[395],[280,1006,1008],{"className":1007},[364],[280,1009,1011],{"className":1010,"style":403},[368],[280,1012],{},[280,1014],{"className":1015,"style":576},[409],[280,1017,956],{"className":1018},[580],[280,1020],{"className":1021,"style":576},[409],[280,1023,1025,1029],{"className":1024},[337],[280,1026],{"className":1027,"style":1028},[341],"height:0.6444em;",[280,1030,960],{"className":1031},[346],") is applied, the potential barrier to diffusion across the junction is reduced,  ",[636,1034,1035],{},"Minority carriers are 'injected' into the quasi-neutral regions =>",[280,1037,1039,1066],{"className":1038},[283],[280,1040,1042],{"className":1041},[287],[289,1043,1044],{"xmlns":291},[293,1045,1046,1063],{},[296,1047,1048,1052,1059,1061],{},[302,1049,1051],{"mathvariant":1050},"normal","Δ",[299,1053,1054,1057],{},[302,1055,1056],{},"n",[302,1058,234],{},[314,1060,956],{},[958,1062,960],{},[325,1064,1065],{"encoding":327},"\\Delta n_p > 0",[280,1067,1069,1131],{"className":1068,"ariaHidden":333},[332],[280,1070,1072,1076,1079,1122,1125,1128],{"className":1071},[337],[280,1073],{"className":1074,"style":1075},[341],"height:0.9694em;vertical-align:-0.2861em;",[280,1077,1051],{"className":1078},[346],[280,1080,1082,1085],{"className":1081},[346],[280,1083,1056],{"className":1084},[346,350],[280,1086,1088],{"className":1087},[355],[280,1089,1091,1113],{"className":1090},[359,360],[280,1092,1094,1110],{"className":1093},[364],[280,1095,1098],{"className":1096,"style":1097},[368],"height:0.1514em;",[280,1099,1101,1104],{"style":1100},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[280,1102],{"className":1103,"style":377},[376],[280,1105,1107],{"className":1106},[381,382,383,384],[280,1108,234],{"className":1109},[346,350,384],[280,1111,396],{"className":1112},[395],[280,1114,1116],{"className":1115},[364],[280,1117,1120],{"className":1118,"style":1119},[368],"height:0.2861em;",[280,1121],{},[280,1123],{"className":1124,"style":576},[409],[280,1126,956],{"className":1127},[580],[280,1129],{"className":1130,"style":576},[409],[280,1132,1134,1137],{"className":1133},[337],[280,1135],{"className":1136,"style":1028},[341],[280,1138,960],{"className":1139},[346],[636,1141,1142],{},",",[280,1144,1146,1170],{"className":1145},[283],[280,1147,1149],{"className":1148},[287],[289,1150,1151],{"xmlns":291},[293,1152,1153,1167],{},[296,1154,1155,1157,1163,1165],{},[302,1156,1051],{"mathvariant":1050},[299,1158,1159,1161],{},[302,1160,234],{},[302,1162,1056],{},[314,1164,956],{},[958,1166,960],{},[325,1168,1169],{"encoding":327},"\\Delta p_n > 0",[280,1171,1173,1231],{"className":1172,"ariaHidden":333},[332],[280,1174,1176,1179,1182,1222,1225,1228],{"className":1175},[337],[280,1177],{"className":1178,"style":686},[341],[280,1180,1051],{"className":1181},[346],[280,1183,1185,1188],{"className":1184},[346],[280,1186,234],{"className":1187},[346,350],[280,1189,1191],{"className":1190},[355],[280,1192,1194,1214],{"className":1193},[359,360],[280,1195,1197,1211],{"className":1196},[364],[280,1198,1200],{"className":1199,"style":1097},[368],[280,1201,1202,1205],{"style":1100},[280,1203],{"className":1204,"style":377},[376],[280,1206,1208],{"className":1207},[381,382,383,384],[280,1209,1056],{"className":1210},[346,350,384],[280,1212,396],{"className":1213},[395],[280,1215,1217],{"className":1216},[364],[280,1218,1220],{"className":1219,"style":403},[368],[280,1221],{},[280,1223],{"className":1224,"style":576},[409],[280,1226,956],{"className":1227},[580],[280,1229],{"className":1230,"style":576},[409],[280,1232,1234,1237],{"className":1233},[337],[280,1235],{"className":1236,"style":1028},[341],[280,1238,960],{"className":1239},[346],"Minority carriers diffuse in the quasi-neutral regions, recombining with majority carriers",[234,1242,1243],{},[485,1244,1245],{},"PN结的正向电流 = 少子注入 + 扩散 + 复合",[1247,1248,1249,1288,1320,1327],"ol",{},[482,1250,1251,652,1254,652,1285,881],{},[485,1252,1253],{},"正向电压",[280,1255,1257,1272],{"className":1256},[283],[280,1258,1260],{"className":1259},[287],[289,1261,1262],{"xmlns":291},[293,1263,1264,1269],{},[296,1265,1266],{},[314,1267,1268],{},"→",[325,1270,1271],{"encoding":327},"\\rightarrow",[280,1273,1275],{"className":1274,"ariaHidden":333},[332],[280,1276,1278,1282],{"className":1277},[337],[280,1279],{"className":1280,"style":1281},[341],"height:0.3669em;",[280,1283,1268],{"className":1284},[580],[485,1286,1287],{},"势垒降低",[482,1289,1290,1291,1319],{},"势垒降低 ",[280,1292,1294,1307],{"className":1293},[283],[280,1295,1297],{"className":1296},[287],[289,1298,1299],{"xmlns":291},[293,1300,1301,1305],{},[296,1302,1303],{},[314,1304,1268],{},[325,1306,1271],{"encoding":327},[280,1308,1310],{"className":1309,"ariaHidden":333},[332],[280,1311,1313,1316],{"className":1312},[337],[280,1314],{"className":1315,"style":1281},[341],[280,1317,1268],{"className":1318},[580]," 允许大量多子越过边界，变成“少子注入”。",[482,1321,1322,1323,1326],{},"注入的少子在另一侧（准中性区）进行",[485,1324,1325],{},"扩散","运动。",[482,1328,1329,1330,1333,1334,1337],{},"在扩散的过程中，它们与另一侧的多子相遇并",[485,1331,1332],{},"复合","。\n正是这个“注入-扩散-复合”",[485,1335,1336],{},"的连续过程，构成了二极管","正向导通时的主体电流。",[241,1339,1341],{"id":1340},"三low-level-injection-低水平注入","三、Low-level injection | 低水平注入",[234,1343,1344,1347,1348,1351,1352,1355],{},[485,1345,1346],{},"低电平注入","是一个",[485,1349,1350],{},"电流输运假设","，它定义了",[485,1353,1354],{},"正向偏置","时载流子的状态。",[479,1357,1358,1455],{},[482,1359,1360,1363,1364,1367,1368,464,1443,1446,1447,1450,1451,1454],{},[485,1361,1362],{},"假设内容："," 注入到中性区的",[485,1365,1366],{},"过剩少数载流子","浓度（例如 ",[280,1369,1371,1391],{"className":1370},[283],[280,1372,1374],{"className":1373},[287],[289,1375,1376],{"xmlns":291},[293,1377,1378,1388],{},[296,1379,1380,1382],{},[302,1381,1051],{"mathvariant":1050},[299,1383,1384,1386],{},[302,1385,234],{},[302,1387,1056],{},[325,1389,1390],{"encoding":327},"\\Delta p_n",[280,1392,1394],{"className":1393,"ariaHidden":333},[332],[280,1395,1397,1400,1403],{"className":1396},[337],[280,1398],{"className":1399,"style":686},[341],[280,1401,1051],{"className":1402},[346],[280,1404,1406,1409],{"className":1405},[346],[280,1407,234],{"className":1408},[346,350],[280,1410,1412],{"className":1411},[355],[280,1413,1415,1435],{"className":1414},[359,360],[280,1416,1418,1432],{"className":1417},[364],[280,1419,1421],{"className":1420,"style":1097},[368],[280,1422,1423,1426],{"style":1100},[280,1424],{"className":1425,"style":377},[376],[280,1427,1429],{"className":1428},[381,382,383,384],[280,1430,1056],{"className":1431},[346,350,384],[280,1433,396],{"className":1434},[395],[280,1436,1438],{"className":1437},[364],[280,1439,1441],{"className":1440,"style":403},[368],[280,1442],{},[485,1444,1445],{},"远小于","该区域原有的",[485,1448,1449],{},"多数载流子","浓度\n（The ",[636,1452,1453],{},"excess minority carrier concentration"," injected into the neutral region is much smaller than the original majority carrier concentration in this region.）",[482,1456,1457,1460,1461,1463,1464,1555,1556,1697],{},[485,1458,1459],{},"适用条件："," 仅在",[485,1462,1354],{},"（",[280,1465,1467,1488],{"className":1466},[283],[280,1468,1470],{"className":1469},[287],[289,1471,1472],{"xmlns":291},[293,1473,1474,1486],{},[296,1475,1476,1482,1484],{},[299,1477,1478,1480],{},[302,1479,304],{},[302,1481,323],{},[314,1483,956],{},[958,1485,960],{},[325,1487,963],{"encoding":327},[280,1489,1491,1546],{"className":1490,"ariaHidden":333},[332],[280,1492,1494,1497,1537,1540,1543],{"className":1493},[337],[280,1495],{"className":1496,"style":342},[341],[280,1498,1500,1503],{"className":1499},[346],[280,1501,304],{"className":1502,"style":351},[346,350],[280,1504,1506],{"className":1505},[355],[280,1507,1509,1529],{"className":1508},[359,360],[280,1510,1512,1526],{"className":1511},[364],[280,1513,1515],{"className":1514,"style":441},[368],[280,1516,1517,1520],{"style":372},[280,1518],{"className":1519,"style":377},[376],[280,1521,1523],{"className":1522},[381,382,383,384],[280,1524,323],{"className":1525},[346,350,384],[280,1527,396],{"className":1528},[395],[280,1530,1532],{"className":1531},[364],[280,1533,1535],{"className":1534,"style":403},[368],[280,1536],{},[280,1538],{"className":1539,"style":576},[409],[280,1541,956],{"className":1542},[580],[280,1544],{"className":1545,"style":576},[409],[280,1547,1549,1552],{"className":1548},[337],[280,1550],{"className":1551,"style":1028},[341],[280,1553,960],{"className":1554},[346],"）下使用  且  ",[280,1557,1559,1590],{"className":1558},[283],[280,1560,1562],{"className":1561},[287],[289,1563,1564],{"xmlns":291},[293,1565,1566,1588],{},[296,1567,1568,1574,1576,1578],{},[299,1569,1570,1572],{},[302,1571,304],{},[302,1573,323],{},[314,1575,508],{},[314,1577,508],{},[299,1579,1580,1582],{},[302,1581,304],{},[296,1583,1584,1586],{},[302,1585,309],{},[302,1587,312],{},[325,1589,523],{"encoding":327},[280,1591,1593,1648],{"className":1592,"ariaHidden":333},[332],[280,1594,1596,1599,1639,1642,1645],{"className":1595},[337],[280,1597],{"className":1598,"style":342},[341],[280,1600,1602,1605],{"className":1601},[346],[280,1603,304],{"className":1604,"style":351},[346,350],[280,1606,1608],{"className":1607},[355],[280,1609,1611,1631],{"className":1610},[359,360],[280,1612,1614,1628],{"className":1613},[364],[280,1615,1617],{"className":1616,"style":441},[368],[280,1618,1619,1622],{"style":372},[280,1620],{"className":1621,"style":377},[376],[280,1623,1625],{"className":1624},[381,382,383,384],[280,1626,323],{"className":1627},[346,350,384],[280,1629,396],{"className":1630},[395],[280,1632,1634],{"className":1633},[364],[280,1635,1637],{"className":1636,"style":403},[368],[280,1638],{},[280,1640],{"className":1641,"style":576},[409],[280,1643,581],{"className":1644},[580],[280,1646],{"className":1647,"style":576},[409],[280,1649,1651,1654],{"className":1650},[337],[280,1652],{"className":1653,"style":342},[341],[280,1655,1657,1660],{"className":1656},[346],[280,1658,304],{"className":1659,"style":351},[346,350],[280,1661,1663],{"className":1662},[355],[280,1664,1666,1689],{"className":1665},[359,360],[280,1667,1669,1686],{"className":1668},[364],[280,1670,1672],{"className":1671,"style":369},[368],[280,1673,1674,1677],{"style":372},[280,1675],{"className":1676,"style":377},[376],[280,1678,1680],{"className":1679},[381,382,383,384],[280,1681,1683],{"className":1682},[346,384],[280,1684,391],{"className":1685},[346,350,384],[280,1687,396],{"className":1688},[395],[280,1690,1692],{"className":1691},[364],[280,1693,1695],{"className":1694,"style":403},[368],[280,1696],{}," （低电平的叫法的由来）。",[1699,1700],"hr",{},[234,1702,1703,1704,1707,1708,1712],{},"它被用于推导",[485,1705,1706],{},"理想二极管I-V方程","的",[1709,1710,1711],"em",{},"每一个关键步骤","：",[1247,1714,1715,1798,2009],{},[482,1716,1717,1720,1721,652,1724,652,1794,1797],{},[485,1718,1719],{},"推导：准费米能级分裂","\nLLI 假设中性区（多子浓度很高）的电阻小到可以忽略。因此，我们可以假设",[485,1722,1723],{},"几乎所有的外加电压",[280,1725,1727,1745],{"className":1726},[283],[280,1728,1730],{"className":1729},[287],[289,1731,1732],{"xmlns":291},[293,1733,1734,1742],{},[296,1735,1736],{},[299,1737,1738,1740],{},[302,1739,304],{},[302,1741,323],{},[325,1743,1744],{"encoding":327},"V_A",[280,1746,1748],{"className":1747,"ariaHidden":333},[332],[280,1749,1751,1754],{"className":1750},[337],[280,1752],{"className":1753,"style":342},[341],[280,1755,1757,1760],{"className":1756},[346],[280,1758,304],{"className":1759,"style":351},[346,350],[280,1761,1763],{"className":1762},[355],[280,1764,1766,1786],{"className":1765},[359,360],[280,1767,1769,1783],{"className":1768},[364],[280,1770,1772],{"className":1771,"style":441},[368],[280,1773,1774,1777],{"style":372},[280,1775],{"className":1776,"style":377},[376],[280,1778,1780],{"className":1779},[381,382,383,384],[280,1781,323],{"className":1782},[346,350,384],[280,1784,396],{"className":1785},[395],[280,1787,1789],{"className":1788},[364],[280,1790,1792],{"className":1791,"style":403},[368],[280,1793],{},[485,1795,1796],{},"都降落在耗尽区","上",[482,1799,1800,1803,1806,1807],{},[485,1801,1802],{},"推导：“结定律”（边界条件）",[485,1804,1805],{},"LLI 假设","告诉我们：尽管有少子注入，但多子浓度基本不变，即 ",[280,1808,1810,1853],{"className":1809},[283],[280,1811,1813],{"className":1812},[287],[289,1814,1815],{"xmlns":291},[293,1816,1817,1850],{},[296,1818,1819,1825,1829,1836,1839,1842],{},[299,1820,1821,1823],{},[302,1822,1056],{},[302,1824,1056],{},[314,1826,1828],{"stretchy":1827},"false","(",[299,1830,1831,1834],{},[302,1832,1833],{},"x",[302,1835,1056],{},[314,1837,1838],{"stretchy":1827},")",[314,1840,1841],{},"≈",[299,1843,1844,1847],{},[302,1845,1846],{},"N",[302,1848,1849],{},"D",[325,1851,1852],{"encoding":327},"n_n(x_n) \\approx N_D",[280,1854,1856,1960],{"className":1855,"ariaHidden":333},[332],[280,1857,1859,1863,1903,1907,1947,1951,1954,1957],{"className":1858},[337],[280,1860],{"className":1861,"style":1862},[341],"height:1em;vertical-align:-0.25em;",[280,1864,1866,1869],{"className":1865},[346],[280,1867,1056],{"className":1868},[346,350],[280,1870,1872],{"className":1871},[355],[280,1873,1875,1895],{"className":1874},[359,360],[280,1876,1878,1892],{"className":1877},[364],[280,1879,1881],{"className":1880,"style":1097},[368],[280,1882,1883,1886],{"style":1100},[280,1884],{"className":1885,"style":377},[376],[280,1887,1889],{"className":1888},[381,382,383,384],[280,1890,1056],{"className":1891},[346,350,384],[280,1893,396],{"className":1894},[395],[280,1896,1898],{"className":1897},[364],[280,1899,1901],{"className":1900,"style":403},[368],[280,1902],{},[280,1904,1828],{"className":1905},[1906],"mopen",[280,1908,1910,1913],{"className":1909},[346],[280,1911,1833],{"className":1912},[346,350],[280,1914,1916],{"className":1915},[355],[280,1917,1919,1939],{"className":1918},[359,360],[280,1920,1922,1936],{"className":1921},[364],[280,1923,1925],{"className":1924,"style":1097},[368],[280,1926,1927,1930],{"style":1100},[280,1928],{"className":1929,"style":377},[376],[280,1931,1933],{"className":1932},[381,382,383,384],[280,1934,1056],{"className":1935},[346,350,384],[280,1937,396],{"className":1938},[395],[280,1940,1942],{"className":1941},[364],[280,1943,1945],{"className":1944,"style":403},[368],[280,1946],{},[280,1948,1838],{"className":1949},[1950],"mclose",[280,1952],{"className":1953,"style":576},[409],[280,1955,1841],{"className":1956},[580],[280,1958],{"className":1959,"style":576},[409],[280,1961,1963,1966],{"className":1962},[337],[280,1964],{"className":1965,"style":342},[341],[280,1967,1969,1973],{"className":1968},[346],[280,1970,1846],{"className":1971,"style":1972},[346,350],"margin-right:0.109em;",[280,1974,1976],{"className":1975},[355],[280,1977,1979,2001],{"className":1978},[359,360],[280,1980,1982,1998],{"className":1981},[364],[280,1983,1985],{"className":1984,"style":441},[368],[280,1986,1988,1991],{"style":1987},"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;",[280,1989],{"className":1990,"style":377},[376],[280,1992,1994],{"className":1993},[381,382,383,384],[280,1995,1849],{"className":1996,"style":1997},[346,350,384],"margin-right:0.0278em;",[280,1999,396],{"className":2000},[395],[280,2002,2004],{"className":2003},[364],[280,2005,2007],{"className":2006,"style":403},[368],[280,2008],{},[482,2010,2011,2014,2015,2045,2046,2048,2049,2082,2083,2086,2087,2214,2215],{},[485,2012,2013],{},"推导：少数载流子扩散方程","\n在中性区，总电流 ",[280,2016,2018,2032],{"className":2017},[283],[280,2019,2021],{"className":2020},[287],[289,2022,2023],{"xmlns":291},[293,2024,2025,2030],{},[296,2026,2027],{},[302,2028,2029],{},"J",[325,2031,2029],{"encoding":327},[280,2033,2035],{"className":2034,"ariaHidden":333},[332],[280,2036,2038,2041],{"className":2037},[337],[280,2039],{"className":2040,"style":911},[341],[280,2042,2029],{"className":2043,"style":2044},[346,350],"margin-right:0.0962em;"," 包含漂移和扩散。",[485,2047,1805],{},"中性区的电场 ",[280,2050,2052,2068],{"className":2051},[283],[280,2053,2055],{"className":2054},[287],[289,2056,2057],{"xmlns":291},[293,2058,2059,2065],{},[296,2060,2061],{},[302,2062,2064],{"mathvariant":2063},"script","E",[325,2066,2067],{"encoding":327},"\\mathcal{E}",[280,2069,2071],{"className":2070,"ariaHidden":333},[332],[280,2072,2074,2077],{"className":2073},[337],[280,2075],{"className":2076,"style":911},[341],[280,2078,2064],{"className":2079,"style":2081},[346,2080],"mathcal","margin-right:0.0894em;"," 极小（见应用点1），因此",[485,2084,2085],{},"少数载流子","的漂移电流 (",[280,2088,2090,2119],{"className":2089},[283],[280,2091,2093],{"className":2092},[287],[289,2094,2095],{"xmlns":291},[293,2096,2097,2116],{},[296,2098,2099,2101,2108,2114],{},[302,2100,667],{},[299,2102,2103,2106],{},[302,2104,2105],{},"μ",[302,2107,234],{},[299,2109,2110,2112],{},[302,2111,234],{},[302,2113,1056],{},[302,2115,2064],{"mathvariant":2063},[325,2117,2118],{"encoding":327},"q\\mu_p p_n \\mathcal{E}",[280,2120,2122],{"className":2121,"ariaHidden":333},[332],[280,2123,2125,2128,2131,2171,2211],{"className":2124},[337],[280,2126],{"className":2127,"style":1075},[341],[280,2129,667],{"className":2130,"style":690},[346,350],[280,2132,2134,2137],{"className":2133},[346],[280,2135,2105],{"className":2136},[346,350],[280,2138,2140],{"className":2139},[355],[280,2141,2143,2163],{"className":2142},[359,360],[280,2144,2146,2160],{"className":2145},[364],[280,2147,2149],{"className":2148,"style":1097},[368],[280,2150,2151,2154],{"style":1100},[280,2152],{"className":2153,"style":377},[376],[280,2155,2157],{"className":2156},[381,382,383,384],[280,2158,234],{"className":2159},[346,350,384],[280,2161,396],{"className":2162},[395],[280,2164,2166],{"className":2165},[364],[280,2167,2169],{"className":2168,"style":1119},[368],[280,2170],{},[280,2172,2174,2177],{"className":2173},[346],[280,2175,234],{"className":2176},[346,350],[280,2178,2180],{"className":2179},[355],[280,2181,2183,2203],{"className":2182},[359,360],[280,2184,2186,2200],{"className":2185},[364],[280,2187,2189],{"className":2188,"style":1097},[368],[280,2190,2191,2194],{"style":1100},[280,2192],{"className":2193,"style":377},[376],[280,2195,2197],{"className":2196},[381,382,383,384],[280,2198,1056],{"className":2199},[346,350,384],[280,2201,396],{"className":2202},[395],[280,2204,2206],{"className":2205},[364],[280,2207,2209],{"className":2208,"style":403},[368],[280,2210],{},[280,2212,2064],{"className":2213,"style":2081},[346,2080],") 可以忽略不计，这使得少数载流子电流 ",[280,2216,2218,2268],{"className":2217},[283],[280,2219,2221],{"className":2220},[287],[289,2222,2223],{"xmlns":291},[293,2224,2225,2265],{},[296,2226,2227,2233,2235,2237,2239,2245],{},[299,2228,2229,2231],{},[302,2230,2029],{},[302,2232,234],{},[314,2234,1841],{},[314,2236,316],{},[302,2238,667],{},[299,2240,2241,2243],{},[302,2242,1849],{},[302,2244,234],{},[2246,2247,2248,2259],"mfrac",{},[296,2249,2250,2253],{},[302,2251,2252],{},"d",[299,2254,2255,2257],{},[302,2256,234],{},[302,2258,1056],{},[296,2260,2261,2263],{},[302,2262,2252],{},[302,2264,1833],{},[325,2266,2267],{"encoding":327},"J_p \\approx -qD_p \\frac{dp_n}{dx}",[280,2269,2271,2327],{"className":2270,"ariaHidden":333},[332],[280,2272,2274,2277,2318,2321,2324],{"className":2273},[337],[280,2275],{"className":2276,"style":1075},[341],[280,2278,2280,2283],{"className":2279},[346],[280,2281,2029],{"className":2282,"style":2044},[346,350],[280,2284,2286],{"className":2285},[355],[280,2287,2289,2310],{"className":2288},[359,360],[280,2290,2292,2307],{"className":2291},[364],[280,2293,2295],{"className":2294,"style":1097},[368],[280,2296,2298,2301],{"style":2297},"top:-2.55em;margin-left:-0.0962em;margin-right:0.05em;",[280,2299],{"className":2300,"style":377},[376],[280,2302,2304],{"className":2303},[381,382,383,384],[280,2305,234],{"className":2306},[346,350,384],[280,2308,396],{"className":2309},[395],[280,2311,2313],{"className":2312},[364],[280,2314,2316],{"className":2315,"style":1119},[368],[280,2317],{},[280,2319],{"className":2320,"style":576},[409],[280,2322,1841],{"className":2323},[580],[280,2325],{"className":2326,"style":576},[409],[280,2328,2330,2334,2337,2340,2381],{"className":2329},[337],[280,2331],{"className":2332,"style":2333},[341],"height:1.2772em;vertical-align:-0.345em;",[280,2335,316],{"className":2336},[346],[280,2338,667],{"className":2339,"style":690},[346,350],[280,2341,2343,2346],{"className":2342},[346],[280,2344,1849],{"className":2345,"style":1997},[346,350],[280,2347,2349],{"className":2348},[355],[280,2350,2352,2373],{"className":2351},[359,360],[280,2353,2355,2370],{"className":2354},[364],[280,2356,2358],{"className":2357,"style":1097},[368],[280,2359,2361,2364],{"style":2360},"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;",[280,2362],{"className":2363,"style":377},[376],[280,2365,2367],{"className":2366},[381,382,383,384],[280,2368,234],{"className":2369},[346,350,384],[280,2371,396],{"className":2372},[395],[280,2374,2376],{"className":2375},[364],[280,2377,2379],{"className":2378,"style":1119},[368],[280,2380],{},[280,2382,2384,2388,2504],{"className":2383},[346],[280,2385],{"className":2386},[1906,2387],"nulldelimiter",[280,2389,2391],{"className":2390},[2246],[280,2392,2394,2495],{"className":2393},[359,360],[280,2395,2397,2492],{"className":2396},[364],[280,2398,2401,2420,2431],{"className":2399,"style":2400},[368],"height:0.9322em;",[280,2402,2404,2408],{"style":2403},"top:-2.655em;",[280,2405],{"className":2406,"style":2407},[376],"height:3em;",[280,2409,2411],{"className":2410},[381,382,383,384],[280,2412,2414,2417],{"className":2413},[346,384],[280,2415,2252],{"className":2416},[346,350,384],[280,2418,1833],{"className":2419},[346,350,384],[280,2421,2423,2426],{"style":2422},"top:-3.23em;",[280,2424],{"className":2425,"style":2407},[376],[280,2427],{"className":2428,"style":2430},[2429],"frac-line","border-bottom-width:0.04em;",[280,2432,2434,2437],{"style":2433},"top:-3.4461em;",[280,2435],{"className":2436,"style":2407},[376],[280,2438,2440],{"className":2439},[381,382,383,384],[280,2441,2443,2446],{"className":2442},[346,384],[280,2444,2252],{"className":2445},[346,350,384],[280,2447,2449,2452],{"className":2448},[346,384],[280,2450,234],{"className":2451},[346,350,384],[280,2453,2455],{"className":2454},[355],[280,2456,2458,2483],{"className":2457},[359,360],[280,2459,2461,2480],{"className":2460},[364],[280,2462,2465],{"className":2463,"style":2464},[368],"height:0.1645em;",[280,2466,2468,2472],{"style":2467},"top:-2.357em;margin-left:0em;margin-right:0.0714em;",[280,2469],{"className":2470,"style":2471},[376],"height:2.5em;",[280,2473,2477],{"className":2474},[381,2475,2476,384],"reset-size3","size1",[280,2478,1056],{"className":2479},[346,350,384],[280,2481,396],{"className":2482},[395],[280,2484,2486],{"className":2485},[364],[280,2487,2490],{"className":2488,"style":2489},[368],"height:0.143em;",[280,2491],{},[280,2493,396],{"className":2494},[395],[280,2496,2498],{"className":2497},[364],[280,2499,2502],{"className":2500,"style":2501},[368],"height:0.345em;",[280,2503],{},[280,2505],{"className":2506},[1950,2387],[1699,2508],{},[234,2510,2511,2514,2519],{},[485,2512,2513],{},"概念：",[636,2515,2516],{},[485,2517,2518],{},"准中性区",[485,2520,2521],{},"（quasi-neutral region）和其相关",[479,2523,2524,2536,3161],{},[482,2525,2526,2527],{},"定义：\n",[479,2528,2529],{},[482,2530,2531,2532,2535],{},"耗尽层以外的、",[485,2533,2534],{},"近似","保持电中性的P区和N区。（The P and N regions outside the depletion layer, roughly maintaining electrical neutrality.）",[482,2537,2538,2539],{},"特征:\n",[479,2540,2541,2596,2763,3067],{},[482,2542,2543,2544,2595],{},"电场 ",[280,2545,2547,2565],{"className":2546},[283],[280,2548,2550],{"className":2549},[287],[289,2551,2552],{"xmlns":291},[293,2553,2554,2562],{},[296,2555,2556,2558,2560],{},[302,2557,2064],{"mathvariant":2063},[314,2559,1841],{},[958,2561,960],{},[325,2563,2564],{"encoding":327},"\\mathcal{E} \\approx 0",[280,2566,2568,2586],{"className":2567,"ariaHidden":333},[332],[280,2569,2571,2574,2577,2580,2583],{"className":2570},[337],[280,2572],{"className":2573,"style":911},[341],[280,2575,2064],{"className":2576,"style":2081},[346,2080],[280,2578],{"className":2579,"style":576},[409],[280,2581,1841],{"className":2582},[580],[280,2584],{"className":2585,"style":576},[409],[280,2587,2589,2592],{"className":2588},[337],[280,2590],{"className":2591,"style":1028},[341],[280,2593,960],{"className":2594},[346],"，电压降可忽略 。",[482,2597,2598,2599,1463,2602,2762],{},"载流子浓度处于",[485,2600,2601],{},"非平衡态",[280,2603,2605,2634],{"className":2604},[283],[280,2606,2608],{"className":2607},[287],[289,2609,2610],{"xmlns":291},[293,2611,2612,2631],{},[296,2613,2614,2616,2618,2621],{},[302,2615,234],{},[302,2617,1056],{},[314,2619,2620],{"mathvariant":1050},"≠",[2622,2623,2624,2626,2628],"msubsup",{},[302,2625,1056],{},[302,2627,312],{},[958,2629,2630],{},"2",[325,2632,2633],{"encoding":327},"pn \\neq n_i^2",[280,2635,2637,2700],{"className":2636,"ariaHidden":333},[332],[280,2638,2640,2644,2647,2650,2653,2697],{"className":2639},[337],[280,2641],{"className":2642,"style":2643},[341],"height:0.8889em;vertical-align:-0.1944em;",[280,2645,234],{"className":2646},[346,350],[280,2648,1056],{"className":2649},[346,350],[280,2651],{"className":2652,"style":576},[409],[280,2654,2656,2689,2693],{"className":2655},[580],[280,2657,2659],{"className":2658},[580],[280,2660,2663],{"className":2661},[346,2662],"vbox",[280,2664,2667],{"className":2665},[2666],"thinbox",[280,2668,2671,2674,2685],{"className":2669},[2670],"rlap",[280,2672],{"className":2673,"style":2643},[341],[280,2675,2678],{"className":2676},[2677],"inner",[280,2679,2681],{"className":2680},[346],[280,2682,2684],{"className":2683},[580],"",[280,2686],{"className":2687},[2688],"fix",[280,2690],{"className":2691},[409,2692],"nobreak",[280,2694,2696],{"className":2695},[580],"=",[280,2698],{"className":2699,"style":576},[409],[280,2701,2703,2707],{"className":2702},[337],[280,2704],{"className":2705,"style":2706},[341],"height:1.0728em;vertical-align:-0.2587em;",[280,2708,2710,2713],{"className":2709},[346],[280,2711,1056],{"className":2712},[346,350],[280,2714,2716],{"className":2715},[355],[280,2717,2719,2753],{"className":2718},[359,360],[280,2720,2722,2750],{"className":2721},[364],[280,2723,2726,2738],{"className":2724,"style":2725},[368],"height:0.8141em;",[280,2727,2729,2732],{"style":2728},"top:-2.4413em;margin-left:0em;margin-right:0.05em;",[280,2730],{"className":2731,"style":377},[376],[280,2733,2735],{"className":2734},[381,382,383,384],[280,2736,312],{"className":2737},[346,350,384],[280,2739,2741,2744],{"style":2740},"top:-3.063em;margin-right:0.05em;",[280,2742],{"className":2743,"style":377},[376],[280,2745,2747],{"className":2746},[381,382,383,384],[280,2748,2630],{"className":2749},[346,384],[280,2751,396],{"className":2752},[395],[280,2754,2756],{"className":2755},[364],[280,2757,2760],{"className":2758,"style":2759},[368],"height:0.2587em;",[280,2761],{},"）。",[482,2764,2765,2766,2796,2797,2931,2932,3066],{},"多数载流子浓度 ",[280,2767,2769,2783],{"className":2768},[283],[280,2770,2772],{"className":2771},[287],[289,2773,2774],{"xmlns":291},[293,2775,2776,2780],{},[296,2777,2778],{},[314,2779,1841],{},[325,2781,2782],{"encoding":327},"\\approx",[280,2784,2786],{"className":2785,"ariaHidden":333},[332],[280,2787,2789,2793],{"className":2788},[337],[280,2790],{"className":2791,"style":2792},[341],"height:0.4831em;",[280,2794,1841],{"className":2795},[580]," 掺杂浓度 (",[280,2798,2800,2826],{"className":2799},[283],[280,2801,2803],{"className":2802},[287],[289,2804,2805],{"xmlns":291},[293,2806,2807,2823],{},[296,2808,2809,2815,2817],{},[299,2810,2811,2813],{},[302,2812,1056],{},[302,2814,1056],{},[314,2816,1841],{},[299,2818,2819,2821],{},[302,2820,1846],{},[302,2822,1849],{},[325,2824,2825],{"encoding":327},"n_n \\approx N_D",[280,2827,2829,2885],{"className":2828,"ariaHidden":333},[332],[280,2830,2832,2836,2876,2879,2882],{"className":2831},[337],[280,2833],{"className":2834,"style":2835},[341],"height:0.6331em;vertical-align:-0.15em;",[280,2837,2839,2842],{"className":2838},[346],[280,2840,1056],{"className":2841},[346,350],[280,2843,2845],{"className":2844},[355],[280,2846,2848,2868],{"className":2847},[359,360],[280,2849,2851,2865],{"className":2850},[364],[280,2852,2854],{"className":2853,"style":1097},[368],[280,2855,2856,2859],{"style":1100},[280,2857],{"className":2858,"style":377},[376],[280,2860,2862],{"className":2861},[381,382,383,384],[280,2863,1056],{"className":2864},[346,350,384],[280,2866,396],{"className":2867},[395],[280,2869,2871],{"className":2870},[364],[280,2872,2874],{"className":2873,"style":403},[368],[280,2875],{},[280,2877],{"className":2878,"style":576},[409],[280,2880,1841],{"className":2881},[580],[280,2883],{"className":2884,"style":576},[409],[280,2886,2888,2891],{"className":2887},[337],[280,2889],{"className":2890,"style":342},[341],[280,2892,2894,2897],{"className":2893},[346],[280,2895,1846],{"className":2896,"style":1972},[346,350],[280,2898,2900],{"className":2899},[355],[280,2901,2903,2923],{"className":2902},[359,360],[280,2904,2906,2920],{"className":2905},[364],[280,2907,2909],{"className":2908,"style":441},[368],[280,2910,2911,2914],{"style":1987},[280,2912],{"className":2913,"style":377},[376],[280,2915,2917],{"className":2916},[381,382,383,384],[280,2918,1849],{"className":2919,"style":1997},[346,350,384],[280,2921,396],{"className":2922},[395],[280,2924,2926],{"className":2925},[364],[280,2927,2929],{"className":2928,"style":403},[368],[280,2930],{},", ",[280,2933,2935,2961],{"className":2934},[283],[280,2936,2938],{"className":2937},[287],[289,2939,2940],{"xmlns":291},[293,2941,2942,2958],{},[296,2943,2944,2950,2952],{},[299,2945,2946,2948],{},[302,2947,234],{},[302,2949,234],{},[314,2951,1841],{},[299,2953,2954,2956],{},[302,2955,1846],{},[302,2957,323],{},[325,2959,2960],{"encoding":327},"p_p \\approx N_A",[280,2962,2964,3020],{"className":2963,"ariaHidden":333},[332],[280,2965,2967,2971,3011,3014,3017],{"className":2966},[337],[280,2968],{"className":2969,"style":2970},[341],"height:0.7692em;vertical-align:-0.2861em;",[280,2972,2974,2977],{"className":2973},[346],[280,2975,234],{"className":2976},[346,350],[280,2978,2980],{"className":2979},[355],[280,2981,2983,3003],{"className":2982},[359,360],[280,2984,2986,3000],{"className":2985},[364],[280,2987,2989],{"className":2988,"style":1097},[368],[280,2990,2991,2994],{"style":1100},[280,2992],{"className":2993,"style":377},[376],[280,2995,2997],{"className":2996},[381,382,383,384],[280,2998,234],{"className":2999},[346,350,384],[280,3001,396],{"className":3002},[395],[280,3004,3006],{"className":3005},[364],[280,3007,3009],{"className":3008,"style":1119},[368],[280,3010],{},[280,3012],{"className":3013,"style":576},[409],[280,3015,1841],{"className":3016},[580],[280,3018],{"className":3019,"style":576},[409],[280,3021,3023,3026],{"className":3022},[337],[280,3024],{"className":3025,"style":342},[341],[280,3027,3029,3032],{"className":3028},[346],[280,3030,1846],{"className":3031,"style":1972},[346,350],[280,3033,3035],{"className":3034},[355],[280,3036,3038,3058],{"className":3037},[359,360],[280,3039,3041,3055],{"className":3040},[364],[280,3042,3044],{"className":3043,"style":441},[368],[280,3045,3046,3049],{"style":1987},[280,3047],{"className":3048,"style":377},[376],[280,3050,3052],{"className":3051},[381,382,383,384],[280,3053,323],{"className":3054},[346,350,384],[280,3056,396],{"className":3057},[395],[280,3059,3061],{"className":3060},[364],[280,3062,3064],{"className":3063,"style":403},[368],[280,3065],{},") 。",[482,3068,3069,3070,3098,3099,3160],{},"过剩的多数载流子浓度 ",[280,3071,3073,3086],{"className":3072},[283],[280,3074,3076],{"className":3075},[287],[289,3077,3078],{"xmlns":291},[293,3079,3080,3084],{},[296,3081,3082],{},[314,3083,1841],{},[325,3085,2782],{"encoding":327},[280,3087,3089],{"className":3088,"ariaHidden":333},[332],[280,3090,3092,3095],{"className":3091},[337],[280,3093],{"className":3094,"style":2792},[341],[280,3096,1841],{"className":3097},[580]," 过剩的少数载流子浓度 (",[280,3100,3102,3124],{"className":3101},[283],[280,3103,3105],{"className":3104},[287],[289,3106,3107],{"xmlns":291},[293,3108,3109,3121],{},[296,3110,3111,3113,3115,3117,3119],{},[302,3112,1051],{"mathvariant":1050},[302,3114,1056],{},[314,3116,1841],{},[302,3118,1051],{"mathvariant":1050},[302,3120,234],{},[325,3122,3123],{"encoding":327},"\\Delta n \\approx \\Delta p",[280,3125,3127,3148],{"className":3126,"ariaHidden":333},[332],[280,3128,3130,3133,3136,3139,3142,3145],{"className":3129},[337],[280,3131],{"className":3132,"style":911},[341],[280,3134,1051],{"className":3135},[346],[280,3137,1056],{"className":3138},[346,350],[280,3140],{"className":3141,"style":576},[409],[280,3143,1841],{"className":3144},[580],[280,3146],{"className":3147,"style":576},[409],[280,3149,3151,3154,3157],{"className":3150},[337],[280,3152],{"className":3153,"style":686},[341],[280,3155,1051],{"className":3156},[346],[280,3158,234],{"className":3159},[346,350],")。",[482,3162,3163,3164],{},"关系：\n",[479,3165,3166],{},[482,3167,3168],{},"LLI是“准中性区”假设成立的前提。",[241,3170,3172],{"id":3171},"四结定律law-of-the-junctionp8-14","四、结定律（Law of the junction）（P8-14）",[234,3174,3175],{},[485,3176,3177],{},"假设：",[234,3179,3180,3181,652,3183,652,3252,1797],{},"LLI 假设中性区（多子浓度很高）的电阻小到可以忽略。因此，我们可以假设",[485,3182,1723],{},[280,3184,3186,3203],{"className":3185},[283],[280,3187,3189],{"className":3188},[287],[289,3190,3191],{"xmlns":291},[293,3192,3193,3201],{},[296,3194,3195],{},[299,3196,3197,3199],{},[302,3198,304],{},[302,3200,323],{},[325,3202,1744],{"encoding":327},[280,3204,3206],{"className":3205,"ariaHidden":333},[332],[280,3207,3209,3212],{"className":3208},[337],[280,3210],{"className":3211,"style":342},[341],[280,3213,3215,3218],{"className":3214},[346],[280,3216,304],{"className":3217,"style":351},[346,350],[280,3219,3221],{"className":3220},[355],[280,3222,3224,3244],{"className":3223},[359,360],[280,3225,3227,3241],{"className":3226},[364],[280,3228,3230],{"className":3229,"style":441},[368],[280,3231,3232,3235],{"style":372},[280,3233],{"className":3234,"style":377},[376],[280,3236,3238],{"className":3237},[381,382,383,384],[280,3239,323],{"className":3240},[346,350,384],[280,3242,396],{"className":3243},[395],[280,3245,3247],{"className":3246},[364],[280,3248,3250],{"className":3249,"style":403},[368],[280,3251],{},[485,3253,1796],{},[234,3255,3256],{},[264,3257],{"alt":266,"src":3258},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-04.png",[234,3260,3261],{},"费米能级分裂，产生了准费米能级（不在热平衡状态了）",[3263,3264,3265],"h4",{"id":3265},"过剩载流子",[246,3267,3268],{"style":248},[250,3269,3270],{},[253,3271,256,3272,256,3280],{"style":255},[258,3273,3275,256],{"style":3274},"width: 49.1%; text-align: center; border: none; padding: 0.3em; margin: 0;",[234,3276,3277],{},[264,3278],{"alt":266,"src":3279},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-16.png",[258,3281,3283,256],{"style":3282},"width: 50.9%; text-align: center; border: none; padding: 0.3em; margin: 0;",[234,3284,3285],{},[264,3286],{"alt":266,"src":3287},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-07.png",[234,3289,3290],{},"左边是平衡状态下的（VA=0），右边是正向偏置下的（VA>0）",[234,3292,3293],{},[636,3294,3295],{},"正向偏压使少子浓度增大，对多子浓度影响不大",[3263,3297,3298],{"id":3298},"例题一则",[234,3300,3301],{},[264,3302],{"alt":266,"src":3303},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-13.png",[241,3305,3307],{"id":3306},"五连续性方程和扩散方程p15-22","五、连续性方程和扩散方程（P15-22)",[231,3309,3310],{},[234,3311,3312],{},"这一节的推导难度较大，可以知道一个大概，然后抄公式",[3314,3315,3317],"h3",{"id":3316},"连续性方程的推导-page-15","连续性方程的推导 (Page 15)",[234,3319,3320],{},"这张幻灯片的目标是建立一个描述“在任意点，载流子浓度如何随时间变化”的方程。在稳态（Steady-State）下，它描述了电流密度如何随空间变化。",[3263,3322,3324],{"id":3323},"核心思想粒子数守恒","核心思想：粒子数守恒",[234,3326,3327,3328,3385],{},"我们考察一个体积微元 ",[280,3329,3331,3352],{"className":3330},[283],[280,3332,3334],{"className":3333},[287],[289,3335,3336],{"xmlns":291},[293,3337,3338,3349],{},[296,3339,3340,3342,3345,3347],{},[302,3341,323],{},[314,3343,3344],{},"⋅",[302,3346,1051],{"mathvariant":1050},[302,3348,1833],{},[325,3350,3351],{"encoding":327},"A \\cdot \\Delta x",[280,3353,3355,3373],{"className":3354,"ariaHidden":333},[332],[280,3356,3358,3361,3364,3367,3370],{"className":3357},[337],[280,3359],{"className":3360,"style":911},[341],[280,3362,323],{"className":3363},[346,350],[280,3365],{"className":3366,"style":351},[409],[280,3368,3344],{"className":3369},[413],[280,3371],{"className":3372,"style":351},[409],[280,3374,3376,3379,3382],{"className":3375},[337],[280,3377],{"className":3378,"style":911},[341],[280,3380,1051],{"className":3381},[346],[280,3383,1833],{"className":3384},[346,350]," 。在稳态（Steady-State）下（即浓度不随时间变化），进入这个微元的空穴（Hole）数量必须等于离开的空穴数量，加上在这个微元内“消失”（即复合）的空穴数量。",[3263,3387,3388],{"id":3388},"方程建立",[479,3390,3391,3656,3844],{},[482,3392,3393,3396,3397,3483,3484,881],{},[485,3394,3395],{},"流入率","（单位：个\u002F秒）：进入微元的空穴电流为 ",[280,3398,3400,3424],{"className":3399},[283],[280,3401,3403],{"className":3402},[287],[289,3404,3405],{"xmlns":291},[293,3406,3407,3421],{},[296,3408,3409,3415,3417,3419],{},[299,3410,3411,3413],{},[302,3412,2029],{},[302,3414,234],{},[314,3416,1828],{"stretchy":1827},[302,3418,1833],{},[314,3420,1838],{"stretchy":1827},[325,3422,3423],{"encoding":327},"J_p(x)",[280,3425,3427],{"className":3426,"ariaHidden":333},[332],[280,3428,3430,3434,3474,3477,3480],{"className":3429},[337],[280,3431],{"className":3432,"style":3433},[341],"height:1.0361em;vertical-align:-0.2861em;",[280,3435,3437,3440],{"className":3436},[346],[280,3438,2029],{"className":3439,"style":2044},[346,350],[280,3441,3443],{"className":3442},[355],[280,3444,3446,3466],{"className":3445},[359,360],[280,3447,3449,3463],{"className":3448},[364],[280,3450,3452],{"className":3451,"style":1097},[368],[280,3453,3454,3457],{"style":2297},[280,3455],{"className":3456,"style":377},[376],[280,3458,3460],{"className":3459},[381,382,383,384],[280,3461,234],{"className":3462},[346,350,384],[280,3464,396],{"className":3465},[395],[280,3467,3469],{"className":3468},[364],[280,3470,3472],{"className":3471,"style":1119},[368],[280,3473],{},[280,3475,1828],{"className":3476},[1906],[280,3478,1833],{"className":3479},[346,350],[280,3481,1838],{"className":3482},[1950],"，对应的粒子流（“个\u002F秒”）是 ",[280,3485,3487,3521],{"className":3486},[283],[280,3488,3490],{"className":3489},[287],[289,3491,3492],{"xmlns":291},[293,3493,3494,3518],{},[296,3495,3496],{},[2246,3497,3498,3516],{},[296,3499,3500,3502,3504,3510,3512,3514],{},[302,3501,323],{},[314,3503,3344],{},[299,3505,3506,3508],{},[302,3507,2029],{},[302,3509,234],{},[314,3511,1828],{"stretchy":1827},[302,3513,1833],{},[314,3515,1838],{"stretchy":1827},[302,3517,667],{},[325,3519,3520],{"encoding":327},"\\frac{A \\cdot J_p(x)}{q}",[280,3522,3524],{"className":3523,"ariaHidden":333},[332],[280,3525,3527,3531],{"className":3526},[337],[280,3528],{"className":3529,"style":3530},[341],"height:1.5134em;vertical-align:-0.4811em;",[280,3532,3534,3537,3653],{"className":3533},[346],[280,3535],{"className":3536},[1906,2387],[280,3538,3540],{"className":3539},[2246],[280,3541,3543,3644],{"className":3542},[359,360],[280,3544,3546,3641],{"className":3545},[364],[280,3547,3550,3564,3572],{"className":3548,"style":3549},[368],"height:1.0323em;",[280,3551,3552,3555],{"style":2403},[280,3553],{"className":3554,"style":2407},[376],[280,3556,3558],{"className":3557},[381,382,383,384],[280,3559,3561],{"className":3560},[346,384],[280,3562,667],{"className":3563,"style":690},[346,350,384],[280,3565,3566,3569],{"style":2422},[280,3567],{"className":3568,"style":2407},[376],[280,3570],{"className":3571,"style":2430},[2429],[280,3573,3575,3578],{"style":3574},"top:-3.5073em;",[280,3576],{"className":3577,"style":2407},[376],[280,3579,3581],{"className":3580},[381,382,383,384],[280,3582,3584,3587,3590,3632,3635,3638],{"className":3583},[346,384],[280,3585,323],{"className":3586},[346,350,384],[280,3588,3344],{"className":3589},[413,384],[280,3591,3593,3596],{"className":3592},[346,384],[280,3594,2029],{"className":3595,"style":2044},[346,350,384],[280,3597,3599],{"className":3598},[355],[280,3600,3602,3623],{"className":3601},[359,360],[280,3603,3605,3620],{"className":3604},[364],[280,3606,3608],{"className":3607,"style":2464},[368],[280,3609,3611,3614],{"style":3610},"top:-2.357em;margin-left:-0.0962em;margin-right:0.0714em;",[280,3612],{"className":3613,"style":2471},[376],[280,3615,3617],{"className":3616},[381,2475,2476,384],[280,3618,234],{"className":3619},[346,350,384],[280,3621,396],{"className":3622},[395],[280,3624,3626],{"className":3625},[364],[280,3627,3630],{"className":3628,"style":3629},[368],"height:0.2819em;",[280,3631],{},[280,3633,1828],{"className":3634},[1906,384],[280,3636,1833],{"className":3637},[346,350,384],[280,3639,1838],{"className":3640},[1950,384],[280,3642,396],{"className":3643},[395],[280,3645,3647],{"className":3646},[364],[280,3648,3651],{"className":3649,"style":3650},[368],"height:0.4811em;",[280,3652],{},[280,3654],{"className":3655},[1950,2387],[482,3657,3658,3661,3662,881],{},[485,3659,3660],{},"流出率","（单位：个\u002F秒）：流出微元的空穴粒子流是 ",[280,3663,3665,3706],{"className":3664},[283],[280,3666,3668],{"className":3667},[287],[289,3669,3670],{"xmlns":291},[293,3671,3672,3703],{},[296,3673,3674],{},[2246,3675,3676,3701],{},[296,3677,3678,3680,3682,3688,3690,3692,3695,3697,3699],{},[302,3679,323],{},[314,3681,3344],{},[299,3683,3684,3686],{},[302,3685,2029],{},[302,3687,234],{},[314,3689,1828],{"stretchy":1827},[302,3691,1833],{},[314,3693,3694],{},"+",[302,3696,1051],{"mathvariant":1050},[302,3698,1833],{},[314,3700,1838],{"stretchy":1827},[302,3702,667],{},[325,3704,3705],{"encoding":327},"\\frac{A \\cdot J_p(x+\\Delta x)}{q}",[280,3707,3709],{"className":3708,"ariaHidden":333},[332],[280,3710,3712,3715],{"className":3711},[337],[280,3713],{"className":3714,"style":3530},[341],[280,3716,3718,3721,3841],{"className":3717},[346],[280,3719],{"className":3720},[1906,2387],[280,3722,3724],{"className":3723},[2246],[280,3725,3727,3833],{"className":3726},[359,360],[280,3728,3730,3830],{"className":3729},[364],[280,3731,3733,3747,3755],{"className":3732,"style":3549},[368],[280,3734,3735,3738],{"style":2403},[280,3736],{"className":3737,"style":2407},[376],[280,3739,3741],{"className":3740},[381,382,383,384],[280,3742,3744],{"className":3743},[346,384],[280,3745,667],{"className":3746,"style":690},[346,350,384],[280,3748,3749,3752],{"style":2422},[280,3750],{"className":3751,"style":2407},[376],[280,3753],{"className":3754,"style":2430},[2429],[280,3756,3757,3760],{"style":3574},[280,3758],{"className":3759,"style":2407},[376],[280,3761,3763],{"className":3762},[381,382,383,384],[280,3764,3766,3769,3772,3812,3815,3818,3821,3824,3827],{"className":3765},[346,384],[280,3767,323],{"className":3768},[346,350,384],[280,3770,3344],{"className":3771},[413,384],[280,3773,3775,3778],{"className":3774},[346,384],[280,3776,2029],{"className":3777,"style":2044},[346,350,384],[280,3779,3781],{"className":3780},[355],[280,3782,3784,3804],{"className":3783},[359,360],[280,3785,3787,3801],{"className":3786},[364],[280,3788,3790],{"className":3789,"style":2464},[368],[280,3791,3792,3795],{"style":3610},[280,3793],{"className":3794,"style":2471},[376],[280,3796,3798],{"className":3797},[381,2475,2476,384],[280,3799,234],{"className":3800},[346,350,384],[280,3802,396],{"className":3803},[395],[280,3805,3807],{"className":3806},[364],[280,3808,3810],{"className":3809,"style":3629},[368],[280,3811],{},[280,3813,1828],{"className":3814},[1906,384],[280,3816,1833],{"className":3817},[346,350,384],[280,3819,3694],{"className":3820},[413,384],[280,3822,1051],{"className":3823},[346,384],[280,3825,1833],{"className":3826},[346,350,384],[280,3828,1838],{"className":3829},[1950,384],[280,3831,396],{"className":3832},[395],[280,3834,3836],{"className":3835},[364],[280,3837,3839],{"className":3838,"style":3650},[368],[280,3840],{},[280,3842],{"className":3843},[1950,2387],[482,3845,3846,3849,3850,4002,4003,4198],{},[485,3847,3848],{},"复合率","（单位：个\u002F秒）：单位体积内的复合率是 ",[280,3851,3853,3880],{"className":3852},[283],[280,3854,3856],{"className":3855},[287],[289,3857,3858],{"xmlns":291},[293,3859,3860,3877],{},[296,3861,3862],{},[2246,3863,3864,3870],{},[296,3865,3866,3868],{},[302,3867,1051],{"mathvariant":1050},[302,3869,234],{},[299,3871,3872,3875],{},[302,3873,3874],{},"τ",[302,3876,234],{},[325,3878,3879],{"encoding":327},"\\frac{\\Delta p}{\\tau_p}",[280,3881,3883],{"className":3882,"ariaHidden":333},[332],[280,3884,3886,3890],{"className":3885},[337],[280,3887],{"className":3888,"style":3889},[341],"height:1.4668em;vertical-align:-0.5423em;",[280,3891,3893,3896,3999],{"className":3892},[346],[280,3894],{"className":3895},[1906,2387],[280,3897,3899],{"className":3898},[2246],[280,3900,3902,3990],{"className":3901},[359,360],[280,3903,3905,3987],{"className":3904},[364],[280,3906,3909,3962,3970],{"className":3907,"style":3908},[368],"height:0.9244em;",[280,3910,3911,3914],{"style":2403},[280,3912],{"className":3913,"style":2407},[376],[280,3915,3917],{"className":3916},[381,382,383,384],[280,3918,3920],{"className":3919},[346,384],[280,3921,3923,3927],{"className":3922},[346,384],[280,3924,3874],{"className":3925,"style":3926},[346,350,384],"margin-right:0.1132em;",[280,3928,3930],{"className":3929},[355],[280,3931,3933,3954],{"className":3932},[359,360],[280,3934,3936,3951],{"className":3935},[364],[280,3937,3939],{"className":3938,"style":2464},[368],[280,3940,3942,3945],{"style":3941},"top:-2.357em;margin-left:-0.1132em;margin-right:0.0714em;",[280,3943],{"className":3944,"style":2471},[376],[280,3946,3948],{"className":3947},[381,2475,2476,384],[280,3949,234],{"className":3950},[346,350,384],[280,3952,396],{"className":3953},[395],[280,3955,3957],{"className":3956},[364],[280,3958,3960],{"className":3959,"style":3629},[368],[280,3961],{},[280,3963,3964,3967],{"style":2422},[280,3965],{"className":3966,"style":2407},[376],[280,3968],{"className":3969,"style":2430},[2429],[280,3971,3972,3975],{"style":2433},[280,3973],{"className":3974,"style":2407},[376],[280,3976,3978],{"className":3977},[381,382,383,384],[280,3979,3981,3984],{"className":3980},[346,384],[280,3982,1051],{"className":3983},[346,384],[280,3985,234],{"className":3986},[346,350,384],[280,3988,396],{"className":3989},[395],[280,3991,3993],{"className":3992},[364],[280,3994,3997],{"className":3995,"style":3996},[368],"height:0.5423em;",[280,3998],{},[280,4000],{"className":4001},[1950,2387],"（过剩浓度\u002F寿命），因此整个微元的复合率是",[280,4004,4006,4042],{"className":4005},[283],[280,4007,4009],{"className":4008},[287],[289,4010,4011],{"xmlns":291},[293,4012,4013,4039],{},[296,4014,4015,4017,4019,4021,4023,4025],{},[302,4016,323],{},[314,4018,3344],{},[302,4020,1051],{"mathvariant":1050},[302,4022,1833],{},[314,4024,3344],{},[2246,4026,4027,4033],{},[296,4028,4029,4031],{},[302,4030,1051],{"mathvariant":1050},[302,4032,234],{},[299,4034,4035,4037],{},[302,4036,3874],{},[302,4038,234],{},[325,4040,4041],{"encoding":327},"A \\cdot \\Delta x \\cdot \\frac{\\Delta p}{\\tau_p}",[280,4043,4045,4063,4084],{"className":4044,"ariaHidden":333},[332],[280,4046,4048,4051,4054,4057,4060],{"className":4047},[337],[280,4049],{"className":4050,"style":911},[341],[280,4052,323],{"className":4053},[346,350],[280,4055],{"className":4056,"style":351},[409],[280,4058,3344],{"className":4059},[413],[280,4061],{"className":4062,"style":351},[409],[280,4064,4066,4069,4072,4075,4078,4081],{"className":4065},[337],[280,4067],{"className":4068,"style":911},[341],[280,4070,1051],{"className":4071},[346],[280,4073,1833],{"className":4074},[346,350],[280,4076],{"className":4077,"style":351},[409],[280,4079,3344],{"className":4080},[413],[280,4082],{"className":4083,"style":351},[409],[280,4085,4087,4090],{"className":4086},[337],[280,4088],{"className":4089,"style":3889},[341],[280,4091,4093,4096,4195],{"className":4092},[346],[280,4094],{"className":4095},[1906,2387],[280,4097,4099],{"className":4098},[2246],[280,4100,4102,4187],{"className":4101},[359,360],[280,4103,4105,4184],{"className":4104},[364],[280,4106,4108,4159,4167],{"className":4107,"style":3908},[368],[280,4109,4110,4113],{"style":2403},[280,4111],{"className":4112,"style":2407},[376],[280,4114,4116],{"className":4115},[381,382,383,384],[280,4117,4119],{"className":4118},[346,384],[280,4120,4122,4125],{"className":4121},[346,384],[280,4123,3874],{"className":4124,"style":3926},[346,350,384],[280,4126,4128],{"className":4127},[355],[280,4129,4131,4151],{"className":4130},[359,360],[280,4132,4134,4148],{"className":4133},[364],[280,4135,4137],{"className":4136,"style":2464},[368],[280,4138,4139,4142],{"style":3941},[280,4140],{"className":4141,"style":2471},[376],[280,4143,4145],{"className":4144},[381,2475,2476,384],[280,4146,234],{"className":4147},[346,350,384],[280,4149,396],{"className":4150},[395],[280,4152,4154],{"className":4153},[364],[280,4155,4157],{"className":4156,"style":3629},[368],[280,4158],{},[280,4160,4161,4164],{"style":2422},[280,4162],{"className":4163,"style":2407},[376],[280,4165],{"className":4166,"style":2430},[2429],[280,4168,4169,4172],{"style":2433},[280,4170],{"className":4171,"style":2407},[376],[280,4173,4175],{"className":4174},[381,382,383,384],[280,4176,4178,4181],{"className":4177},[346,384],[280,4179,1051],{"className":4180},[346,384],[280,4182,234],{"className":4183},[346,350,384],[280,4185,396],{"className":4186},[395],[280,4188,4190],{"className":4189},[364],[280,4191,4193],{"className":4192,"style":3996},[368],[280,4194],{},[280,4196],{"className":4197},[1950,2387],"。\n根据守恒定律：",[234,4200,4201],{},"流入 = 流出 + 复合",[280,4203,4206],{"className":4204},[4205],"katex-display",[280,4207,4209,4300],{"className":4208},[283],[280,4210,4212],{"className":4211},[287],[289,4213,4215],{"xmlns":291,"display":4214},"block",[293,4216,4217,4297],{},[296,4218,4219,4241,4243,4271,4273,4275,4277,4279,4281,4283],{},[2246,4220,4221,4239],{},[296,4222,4223,4225,4227,4233,4235,4237],{},[302,4224,323],{},[314,4226,3344],{},[299,4228,4229,4231],{},[302,4230,2029],{},[302,4232,234],{},[314,4234,1828],{"stretchy":1827},[302,4236,1833],{},[314,4238,1838],{"stretchy":1827},[302,4240,667],{},[314,4242,2696],{},[2246,4244,4245,4269],{},[296,4246,4247,4249,4251,4257,4259,4261,4263,4265,4267],{},[302,4248,323],{},[314,4250,3344],{},[299,4252,4253,4255],{},[302,4254,2029],{},[302,4256,234],{},[314,4258,1828],{"stretchy":1827},[302,4260,1833],{},[314,4262,3694],{},[302,4264,1051],{"mathvariant":1050},[302,4266,1833],{},[314,4268,1838],{"stretchy":1827},[302,4270,667],{},[314,4272,3694],{},[302,4274,323],{},[314,4276,3344],{},[302,4278,1051],{"mathvariant":1050},[302,4280,1833],{},[314,4282,3344],{},[2246,4284,4285,4291],{},[296,4286,4287,4289],{},[302,4288,1051],{"mathvariant":1050},[302,4290,234],{},[299,4292,4293,4295],{},[302,4294,3874],{},[302,4296,234],{},[325,4298,4299],{"encoding":327},"\\frac{A \\cdot J_p(x)}{q} = \\frac{A \\cdot J_p(x+\\Delta x)}{q} + A \\cdot \\Delta x \\cdot \\frac{\\Delta p}{\\tau_p}",[280,4301,4303,4443,4593,4611,4632],{"className":4302,"ariaHidden":333},[332],[280,4304,4306,4310,4434,4437,4440],{"className":4305},[337],[280,4307],{"className":4308,"style":4309},[341],"height:2.3074em;vertical-align:-0.8804em;",[280,4311,4313,4316,4431],{"className":4312},[346],[280,4314],{"className":4315},[1906,2387],[280,4317,4319],{"className":4318},[2246],[280,4320,4322,4422],{"className":4321},[359,360],[280,4323,4325,4419],{"className":4324},[364],[280,4326,4329,4341,4349],{"className":4327,"style":4328},[368],"height:1.427em;",[280,4330,4332,4335],{"style":4331},"top:-2.314em;",[280,4333],{"className":4334,"style":2407},[376],[280,4336,4338],{"className":4337},[346],[280,4339,667],{"className":4340,"style":690},[346,350],[280,4342,4343,4346],{"style":2422},[280,4344],{"className":4345,"style":2407},[376],[280,4347],{"className":4348,"style":2430},[2429],[280,4350,4352,4355],{"style":4351},"top:-3.677em;",[280,4353],{"className":4354,"style":2407},[376],[280,4356,4358,4361,4364,4367,4370,4410,4413,4416],{"className":4357},[346],[280,4359,323],{"className":4360},[346,350],[280,4362],{"className":4363,"style":351},[409],[280,4365,3344],{"className":4366},[413],[280,4368],{"className":4369,"style":351},[409],[280,4371,4373,4376],{"className":4372},[346],[280,4374,2029],{"className":4375,"style":2044},[346,350],[280,4377,4379],{"className":4378},[355],[280,4380,4382,4402],{"className":4381},[359,360],[280,4383,4385,4399],{"className":4384},[364],[280,4386,4388],{"className":4387,"style":1097},[368],[280,4389,4390,4393],{"style":2297},[280,4391],{"className":4392,"style":377},[376],[280,4394,4396],{"className":4395},[381,382,383,384],[280,4397,234],{"className":4398},[346,350,384],[280,4400,396],{"className":4401},[395],[280,4403,4405],{"className":4404},[364],[280,4406,4408],{"className":4407,"style":1119},[368],[280,4409],{},[280,4411,1828],{"className":4412},[1906],[280,4414,1833],{"className":4415},[346,350],[280,4417,1838],{"className":4418},[1950],[280,4420,396],{"className":4421},[395],[280,4423,4425],{"className":4424},[364],[280,4426,4429],{"className":4427,"style":4428},[368],"height:0.8804em;",[280,4430],{},[280,4432],{"className":4433},[1950,2387],[280,4435],{"className":4436,"style":576},[409],[280,4438,2696],{"className":4439},[580],[280,4441],{"className":4442,"style":576},[409],[280,4444,4446,4449,4584,4587,4590],{"className":4445},[337],[280,4447],{"className":4448,"style":4309},[341],[280,4450,4452,4455,4581],{"className":4451},[346],[280,4453],{"className":4454},[1906,2387],[280,4456,4458],{"className":4457},[2246],[280,4459,4461,4573],{"className":4460},[359,360],[280,4462,4464,4570],{"className":4463},[364],[280,4465,4467,4478,4486],{"className":4466,"style":4328},[368],[280,4468,4469,4472],{"style":4331},[280,4470],{"className":4471,"style":2407},[376],[280,4473,4475],{"className":4474},[346],[280,4476,667],{"className":4477,"style":690},[346,350],[280,4479,4480,4483],{"style":2422},[280,4481],{"className":4482,"style":2407},[376],[280,4484],{"className":4485,"style":2430},[2429],[280,4487,4488,4491],{"style":4351},[280,4489],{"className":4490,"style":2407},[376],[280,4492,4494,4497,4500,4503,4506,4546,4549,4552,4555,4558,4561,4564,4567],{"className":4493},[346],[280,4495,323],{"className":4496},[346,350],[280,4498],{"className":4499,"style":351},[409],[280,4501,3344],{"className":4502},[413],[280,4504],{"className":4505,"style":351},[409],[280,4507,4509,4512],{"className":4508},[346],[280,4510,2029],{"className":4511,"style":2044},[346,350],[280,4513,4515],{"className":4514},[355],[280,4516,4518,4538],{"className":4517},[359,360],[280,4519,4521,4535],{"className":4520},[364],[280,4522,4524],{"className":4523,"style":1097},[368],[280,4525,4526,4529],{"style":2297},[280,4527],{"className":4528,"style":377},[376],[280,4530,4532],{"className":4531},[381,382,383,384],[280,4533,234],{"className":4534},[346,350,384],[280,4536,396],{"className":4537},[395],[280,4539,4541],{"className":4540},[364],[280,4542,4544],{"className":4543,"style":1119},[368],[280,4545],{},[280,4547,1828],{"className":4548},[1906],[280,4550,1833],{"className":4551},[346,350],[280,4553],{"className":4554,"style":351},[409],[280,4556,3694],{"className":4557},[413],[280,4559],{"className":4560,"style":351},[409],[280,4562,1051],{"className":4563},[346],[280,4565,1833],{"className":4566},[346,350],[280,4568,1838],{"className":4569},[1950],[280,4571,396],{"className":4572},[395],[280,4574,4576],{"className":4575},[364],[280,4577,4579],{"className":4578,"style":4428},[368],[280,4580],{},[280,4582],{"className":4583},[1950,2387],[280,4585],{"className":4586,"style":351},[409],[280,4588,3694],{"className":4589},[413],[280,4591],{"className":4592,"style":351},[409],[280,4594,4596,4599,4602,4605,4608],{"className":4595},[337],[280,4597],{"className":4598,"style":911},[341],[280,4600,323],{"className":4601},[346,350],[280,4603],{"className":4604,"style":351},[409],[280,4606,3344],{"className":4607},[413],[280,4609],{"className":4610,"style":351},[409],[280,4612,4614,4617,4620,4623,4626,4629],{"className":4613},[337],[280,4615],{"className":4616,"style":911},[341],[280,4618,1051],{"className":4619},[346],[280,4621,1833],{"className":4622},[346,350],[280,4624],{"className":4625,"style":351},[409],[280,4627,3344],{"className":4628},[413],[280,4630],{"className":4631,"style":351},[409],[280,4633,4635,4639],{"className":4634},[337],[280,4636],{"className":4637,"style":4638},[341],"height:2.3324em;vertical-align:-0.9721em;",[280,4640,4642,4645,4741],{"className":4641},[346],[280,4643],{"className":4644},[1906,2387],[280,4646,4648],{"className":4647},[2246],[280,4649,4651,4732],{"className":4650},[359,360],[280,4652,4654,4729],{"className":4653},[364],[280,4655,4658,4707,4715],{"className":4656,"style":4657},[368],"height:1.3603em;",[280,4659,4660,4663],{"style":4331},[280,4661],{"className":4662,"style":2407},[376],[280,4664,4666],{"className":4665},[346],[280,4667,4669,4672],{"className":4668},[346],[280,4670,3874],{"className":4671,"style":3926},[346,350],[280,4673,4675],{"className":4674},[355],[280,4676,4678,4699],{"className":4677},[359,360],[280,4679,4681,4696],{"className":4680},[364],[280,4682,4684],{"className":4683,"style":1097},[368],[280,4685,4687,4690],{"style":4686},"top:-2.55em;margin-left:-0.1132em;margin-right:0.05em;",[280,4688],{"className":4689,"style":377},[376],[280,4691,4693],{"className":4692},[381,382,383,384],[280,4694,234],{"className":4695},[346,350,384],[280,4697,396],{"className":4698},[395],[280,4700,4702],{"className":4701},[364],[280,4703,4705],{"className":4704,"style":1119},[368],[280,4706],{},[280,4708,4709,4712],{"style":2422},[280,4710],{"className":4711,"style":2407},[376],[280,4713],{"className":4714,"style":2430},[2429],[280,4716,4717,4720],{"style":4351},[280,4718],{"className":4719,"style":2407},[376],[280,4721,4723,4726],{"className":4722},[346],[280,4724,1051],{"className":4725},[346],[280,4727,234],{"className":4728},[346,350],[280,4730,396],{"className":4731},[395],[280,4733,4735],{"className":4734},[364],[280,4736,4739],{"className":4737,"style":4738},[368],"height:0.9721em;",[280,4740],{},[280,4742],{"className":4743},[1950,2387],[3263,4745,4746],{"id":4746},"数学推导",[234,4748,4749,4750,4778],{},"我们将上述方程两边同除以 ",[280,4751,4753,4766],{"className":4752},[283],[280,4754,4756],{"className":4755},[287],[289,4757,4758],{"xmlns":291},[293,4759,4760,4764],{},[296,4761,4762],{},[302,4763,323],{},[325,4765,323],{"encoding":327},[280,4767,4769],{"className":4768,"ariaHidden":333},[332],[280,4770,4772,4775],{"className":4771},[337],[280,4773],{"className":4774,"style":911},[341],[280,4776,323],{"className":4777},[346,350],"，并移项：",[280,4780,4782],{"className":4781},[4205],[280,4783,4785,4857],{"className":4784},[283],[280,4786,4788],{"className":4787},[287],[289,4789,4790],{"xmlns":291,"display":4214},[293,4791,4792,4854],{},[296,4793,4794,4832,4834,4836,4838,4840],{},[2246,4795,4796,4830],{},[296,4797,4798,4804,4806,4808,4810,4812,4818,4820,4822,4824,4826,4828],{},[299,4799,4800,4802],{},[302,4801,2029],{},[302,4803,234],{},[314,4805,1828],{"stretchy":1827},[302,4807,1833],{},[314,4809,1838],{"stretchy":1827},[314,4811,316],{},[299,4813,4814,4816],{},[302,4815,2029],{},[302,4817,234],{},[314,4819,1828],{"stretchy":1827},[302,4821,1833],{},[314,4823,3694],{},[302,4825,1051],{"mathvariant":1050},[302,4827,1833],{},[314,4829,1838],{"stretchy":1827},[302,4831,667],{},[314,4833,2696],{},[302,4835,1051],{"mathvariant":1050},[302,4837,1833],{},[314,4839,3344],{},[2246,4841,4842,4848],{},[296,4843,4844,4846],{},[302,4845,1051],{"mathvariant":1050},[302,4847,234],{},[299,4849,4850,4852],{},[302,4851,3874],{},[302,4853,234],{},[325,4855,4856],{"encoding":327},"\\frac{J_p(x) - J_p(x+\\Delta x)}{q} = \\Delta x \\cdot \\frac{\\Delta p}{\\tau_p}",[280,4858,4860,5056,5077],{"className":4859,"ariaHidden":333},[332],[280,4861,4863,4866,5047,5050,5053],{"className":4862},[337],[280,4864],{"className":4865,"style":4309},[341],[280,4867,4869,4872,5044],{"className":4868},[346],[280,4870],{"className":4871},[1906,2387],[280,4873,4875],{"className":4874},[2246],[280,4876,4878,5036],{"className":4877},[359,360],[280,4879,4881,5033],{"className":4880},[364],[280,4882,4884,4895,4903],{"className":4883,"style":4328},[368],[280,4885,4886,4889],{"style":4331},[280,4887],{"className":4888,"style":2407},[376],[280,4890,4892],{"className":4891},[346],[280,4893,667],{"className":4894,"style":690},[346,350],[280,4896,4897,4900],{"style":2422},[280,4898],{"className":4899,"style":2407},[376],[280,4901],{"className":4902,"style":2430},[2429],[280,4904,4905,4908],{"style":4351},[280,4906],{"className":4907,"style":2407},[376],[280,4909,4911,4951,4954,4957,4960,4963,4966,4969,5009,5012,5015,5018,5021,5024,5027,5030],{"className":4910},[346],[280,4912,4914,4917],{"className":4913},[346],[280,4915,2029],{"className":4916,"style":2044},[346,350],[280,4918,4920],{"className":4919},[355],[280,4921,4923,4943],{"className":4922},[359,360],[280,4924,4926,4940],{"className":4925},[364],[280,4927,4929],{"className":4928,"style":1097},[368],[280,4930,4931,4934],{"style":2297},[280,4932],{"className":4933,"style":377},[376],[280,4935,4937],{"className":4936},[381,382,383,384],[280,4938,234],{"className":4939},[346,350,384],[280,4941,396],{"className":4942},[395],[280,4944,4946],{"className":4945},[364],[280,4947,4949],{"className":4948,"style":1119},[368],[280,4950],{},[280,4952,1828],{"className":4953},[1906],[280,4955,1833],{"className":4956},[346,350],[280,4958,1838],{"className":4959},[1950],[280,4961],{"className":4962,"style":351},[409],[280,4964,316],{"className":4965},[413],[280,4967],{"className":4968,"style":351},[409],[280,4970,4972,4975],{"className":4971},[346],[280,4973,2029],{"className":4974,"style":2044},[346,350],[280,4976,4978],{"className":4977},[355],[280,4979,4981,5001],{"className":4980},[359,360],[280,4982,4984,4998],{"className":4983},[364],[280,4985,4987],{"className":4986,"style":1097},[368],[280,4988,4989,4992],{"style":2297},[280,4990],{"className":4991,"style":377},[376],[280,4993,4995],{"className":4994},[381,382,383,384],[280,4996,234],{"className":4997},[346,350,384],[280,4999,396],{"className":5000},[395],[280,5002,5004],{"className":5003},[364],[280,5005,5007],{"className":5006,"style":1119},[368],[280,5008],{},[280,5010,1828],{"className":5011},[1906],[280,5013,1833],{"className":5014},[346,350],[280,5016],{"className":5017,"style":351},[409],[280,5019,3694],{"className":5020},[413],[280,5022],{"className":5023,"style":351},[409],[280,5025,1051],{"className":5026},[346],[280,5028,1833],{"className":5029},[346,350],[280,5031,1838],{"className":5032},[1950],[280,5034,396],{"className":5035},[395],[280,5037,5039],{"className":5038},[364],[280,5040,5042],{"className":5041,"style":4428},[368],[280,5043],{},[280,5045],{"className":5046},[1950,2387],[280,5048],{"className":5049,"style":576},[409],[280,5051,2696],{"className":5052},[580],[280,5054],{"className":5055,"style":576},[409],[280,5057,5059,5062,5065,5068,5071,5074],{"className":5058},[337],[280,5060],{"className":5061,"style":911},[341],[280,5063,1051],{"className":5064},[346],[280,5066,1833],{"className":5067},[346,350],[280,5069],{"className":5070,"style":351},[409],[280,5072,3344],{"className":5073},[413],[280,5075],{"className":5076,"style":351},[409],[280,5078,5080,5083],{"className":5079},[337],[280,5081],{"className":5082,"style":4638},[341],[280,5084,5086,5089,5182],{"className":5085},[346],[280,5087],{"className":5088},[1906,2387],[280,5090,5092],{"className":5091},[2246],[280,5093,5095,5174],{"className":5094},[359,360],[280,5096,5098,5171],{"className":5097},[364],[280,5099,5101,5149,5157],{"className":5100,"style":4657},[368],[280,5102,5103,5106],{"style":4331},[280,5104],{"className":5105,"style":2407},[376],[280,5107,5109],{"className":5108},[346],[280,5110,5112,5115],{"className":5111},[346],[280,5113,3874],{"className":5114,"style":3926},[346,350],[280,5116,5118],{"className":5117},[355],[280,5119,5121,5141],{"className":5120},[359,360],[280,5122,5124,5138],{"className":5123},[364],[280,5125,5127],{"className":5126,"style":1097},[368],[280,5128,5129,5132],{"style":4686},[280,5130],{"className":5131,"style":377},[376],[280,5133,5135],{"className":5134},[381,382,383,384],[280,5136,234],{"className":5137},[346,350,384],[280,5139,396],{"className":5140},[395],[280,5142,5144],{"className":5143},[364],[280,5145,5147],{"className":5146,"style":1119},[368],[280,5148],{},[280,5150,5151,5154],{"style":2422},[280,5152],{"className":5153,"style":2407},[376],[280,5155],{"className":5156,"style":2430},[2429],[280,5158,5159,5162],{"style":4351},[280,5160],{"className":5161,"style":2407},[376],[280,5163,5165,5168],{"className":5164},[346],[280,5166,1051],{"className":5167},[346],[280,5169,234],{"className":5170},[346,350],[280,5172,396],{"className":5173},[395],[280,5175,5177],{"className":5176},[364],[280,5178,5180],{"className":5179,"style":4738},[368],[280,5181],{},[280,5183],{"className":5184},[1950,2387],[234,5186,5187,5188,5222,5223,1712],{},"两边同除以 ",[280,5189,5191,5207],{"className":5190},[283],[280,5192,5194],{"className":5193},[287],[289,5195,5196],{"xmlns":291},[293,5197,5198,5204],{},[296,5199,5200,5202],{},[302,5201,1051],{"mathvariant":1050},[302,5203,1833],{},[325,5205,5206],{"encoding":327},"\\Delta x",[280,5208,5210],{"className":5209,"ariaHidden":333},[332],[280,5211,5213,5216,5219],{"className":5212},[337],[280,5214],{"className":5215,"style":911},[341],[280,5217,1051],{"className":5218},[346],[280,5220,1833],{"className":5221},[346,350],"，并乘以 ",[280,5224,5226,5239],{"className":5225},[283],[280,5227,5229],{"className":5228},[287],[289,5230,5231],{"xmlns":291},[293,5232,5233,5237],{},[296,5234,5235],{},[302,5236,667],{},[325,5238,667],{"encoding":327},[280,5240,5242],{"className":5241,"ariaHidden":333},[332],[280,5243,5245,5249],{"className":5244},[337],[280,5246],{"className":5247,"style":5248},[341],"height:0.625em;vertical-align:-0.1944em;",[280,5250,667],{"className":5251,"style":690},[346,350],[280,5253,5255],{"className":5254},[4205],[280,5256,5258,5330],{"className":5257},[283],[280,5259,5261],{"className":5260},[287],[289,5262,5263],{"xmlns":291,"display":4214},[293,5264,5265,5327],{},[296,5266,5267,5309,5311,5313],{},[2246,5268,5269,5303],{},[296,5270,5271,5277,5279,5281,5283,5285,5291,5293,5295,5297,5299,5301],{},[299,5272,5273,5275],{},[302,5274,2029],{},[302,5276,234],{},[314,5278,1828],{"stretchy":1827},[302,5280,1833],{},[314,5282,1838],{"stretchy":1827},[314,5284,316],{},[299,5286,5287,5289],{},[302,5288,2029],{},[302,5290,234],{},[314,5292,1828],{"stretchy":1827},[302,5294,1833],{},[314,5296,3694],{},[302,5298,1051],{"mathvariant":1050},[302,5300,1833],{},[314,5302,1838],{"stretchy":1827},[296,5304,5305,5307],{},[302,5306,1051],{"mathvariant":1050},[302,5308,1833],{},[314,5310,2696],{},[302,5312,667],{},[2246,5314,5315,5321],{},[296,5316,5317,5319],{},[302,5318,1051],{"mathvariant":1050},[302,5320,234],{},[299,5322,5323,5325],{},[302,5324,3874],{},[302,5326,234],{},[325,5328,5329],{"encoding":327},"\\frac{J_p(x) - J_p(x+\\Delta x)}{\\Delta x} = q \\frac{\\Delta p}{\\tau_p}",[280,5331,5333,5534],{"className":5332,"ariaHidden":333},[332],[280,5334,5336,5340,5525,5528,5531],{"className":5335},[337],[280,5337],{"className":5338,"style":5339},[341],"height:2.113em;vertical-align:-0.686em;",[280,5341,5343,5346,5522],{"className":5342},[346],[280,5344],{"className":5345},[1906,2387],[280,5347,5349],{"className":5348},[2246],[280,5350,5352,5513],{"className":5351},[359,360],[280,5353,5355,5510],{"className":5354},[364],[280,5356,5358,5372,5380],{"className":5357,"style":4328},[368],[280,5359,5360,5363],{"style":4331},[280,5361],{"className":5362,"style":2407},[376],[280,5364,5366,5369],{"className":5365},[346],[280,5367,1051],{"className":5368},[346],[280,5370,1833],{"className":5371},[346,350],[280,5373,5374,5377],{"style":2422},[280,5375],{"className":5376,"style":2407},[376],[280,5378],{"className":5379,"style":2430},[2429],[280,5381,5382,5385],{"style":4351},[280,5383],{"className":5384,"style":2407},[376],[280,5386,5388,5428,5431,5434,5437,5440,5443,5446,5486,5489,5492,5495,5498,5501,5504,5507],{"className":5387},[346],[280,5389,5391,5394],{"className":5390},[346],[280,5392,2029],{"className":5393,"style":2044},[346,350],[280,5395,5397],{"className":5396},[355],[280,5398,5400,5420],{"className":5399},[359,360],[280,5401,5403,5417],{"className":5402},[364],[280,5404,5406],{"className":5405,"style":1097},[368],[280,5407,5408,5411],{"style":2297},[280,5409],{"className":5410,"style":377},[376],[280,5412,5414],{"className":5413},[381,382,383,384],[280,5415,234],{"className":5416},[346,350,384],[280,5418,396],{"className":5419},[395],[280,5421,5423],{"className":5422},[364],[280,5424,5426],{"className":5425,"style":1119},[368],[280,5427],{},[280,5429,1828],{"className":5430},[1906],[280,5432,1833],{"className":5433},[346,350],[280,5435,1838],{"className":5436},[1950],[280,5438],{"className":5439,"style":351},[409],[280,5441,316],{"className":5442},[413],[280,5444],{"className":5445,"style":351},[409],[280,5447,5449,5452],{"className":5448},[346],[280,5450,2029],{"className":5451,"style":2044},[346,350],[280,5453,5455],{"className":5454},[355],[280,5456,5458,5478],{"className":5457},[359,360],[280,5459,5461,5475],{"className":5460},[364],[280,5462,5464],{"className":5463,"style":1097},[368],[280,5465,5466,5469],{"style":2297},[280,5467],{"className":5468,"style":377},[376],[280,5470,5472],{"className":5471},[381,382,383,384],[280,5473,234],{"className":5474},[346,350,384],[280,5476,396],{"className":5477},[395],[280,5479,5481],{"className":5480},[364],[280,5482,5484],{"className":5483,"style":1119},[368],[280,5485],{},[280,5487,1828],{"className":5488},[1906],[280,5490,1833],{"className":5491},[346,350],[280,5493],{"className":5494,"style":351},[409],[280,5496,3694],{"className":5497},[413],[280,5499],{"className":5500,"style":351},[409],[280,5502,1051],{"className":5503},[346],[280,5505,1833],{"className":5506},[346,350],[280,5508,1838],{"className":5509},[1950],[280,5511,396],{"className":5512},[395],[280,5514,5516],{"className":5515},[364],[280,5517,5520],{"className":5518,"style":5519},[368],"height:0.686em;",[280,5521],{},[280,5523],{"className":5524},[1950,2387],[280,5526],{"className":5527,"style":576},[409],[280,5529,2696],{"className":5530},[580],[280,5532],{"className":5533,"style":576},[409],[280,5535,5537,5540,5543],{"className":5536},[337],[280,5538],{"className":5539,"style":4638},[341],[280,5541,667],{"className":5542,"style":690},[346,350],[280,5544,5546,5549,5642],{"className":5545},[346],[280,5547],{"className":5548},[1906,2387],[280,5550,5552],{"className":5551},[2246],[280,5553,5555,5634],{"className":5554},[359,360],[280,5556,5558,5631],{"className":5557},[364],[280,5559,5561,5609,5617],{"className":5560,"style":4657},[368],[280,5562,5563,5566],{"style":4331},[280,5564],{"className":5565,"style":2407},[376],[280,5567,5569],{"className":5568},[346],[280,5570,5572,5575],{"className":5571},[346],[280,5573,3874],{"className":5574,"style":3926},[346,350],[280,5576,5578],{"className":5577},[355],[280,5579,5581,5601],{"className":5580},[359,360],[280,5582,5584,5598],{"className":5583},[364],[280,5585,5587],{"className":5586,"style":1097},[368],[280,5588,5589,5592],{"style":4686},[280,5590],{"className":5591,"style":377},[376],[280,5593,5595],{"className":5594},[381,382,383,384],[280,5596,234],{"className":5597},[346,350,384],[280,5599,396],{"className":5600},[395],[280,5602,5604],{"className":5603},[364],[280,5605,5607],{"className":5606,"style":1119},[368],[280,5608],{},[280,5610,5611,5614],{"style":2422},[280,5612],{"className":5613,"style":2407},[376],[280,5615],{"className":5616,"style":2430},[2429],[280,5618,5619,5622],{"style":4351},[280,5620],{"className":5621,"style":2407},[376],[280,5623,5625,5628],{"className":5624},[346],[280,5626,1051],{"className":5627},[346],[280,5629,234],{"className":5630},[346,350],[280,5632,396],{"className":5633},[395],[280,5635,5637],{"className":5636},[364],[280,5638,5640],{"className":5639,"style":4738},[368],[280,5641],{},[280,5643],{"className":5644},[1950,2387],[234,5646,5647],{},"提取负号，得到幻灯片中的第二个方程：",[280,5649,5651],{"className":5650},[4205],[280,5652,5654,5728],{"className":5653},[283],[280,5655,5657],{"className":5656},[287],[289,5658,5659],{"xmlns":291,"display":4214},[293,5660,5661,5725],{},[296,5662,5663,5665,5707,5709,5711],{},[314,5664,316],{},[2246,5666,5667,5701],{},[296,5668,5669,5675,5677,5679,5681,5683,5685,5687,5689,5695,5697,5699],{},[299,5670,5671,5673],{},[302,5672,2029],{},[302,5674,234],{},[314,5676,1828],{"stretchy":1827},[302,5678,1833],{},[314,5680,3694],{},[302,5682,1051],{"mathvariant":1050},[302,5684,1833],{},[314,5686,1838],{"stretchy":1827},[314,5688,316],{},[299,5690,5691,5693],{},[302,5692,2029],{},[302,5694,234],{},[314,5696,1828],{"stretchy":1827},[302,5698,1833],{},[314,5700,1838],{"stretchy":1827},[296,5702,5703,5705],{},[302,5704,1051],{"mathvariant":1050},[302,5706,1833],{},[314,5708,2696],{},[302,5710,667],{},[2246,5712,5713,5719],{},[296,5714,5715,5717],{},[302,5716,1051],{"mathvariant":1050},[302,5718,234],{},[299,5720,5721,5723],{},[302,5722,3874],{},[302,5724,234],{},[325,5726,5727],{"encoding":327},"-\\frac{J_p(x+\\Delta x) - J_p(x)}{\\Delta x} = q \\frac{\\Delta p}{\\tau_p}",[280,5729,5731,5933],{"className":5730,"ariaHidden":333},[332],[280,5732,5734,5737,5740,5924,5927,5930],{"className":5733},[337],[280,5735],{"className":5736,"style":5339},[341],[280,5738,316],{"className":5739},[346],[280,5741,5743,5746,5921],{"className":5742},[346],[280,5744],{"className":5745},[1906,2387],[280,5747,5749],{"className":5748},[2246],[280,5750,5752,5913],{"className":5751},[359,360],[280,5753,5755,5910],{"className":5754},[364],[280,5756,5758,5772,5780],{"className":5757,"style":4328},[368],[280,5759,5760,5763],{"style":4331},[280,5761],{"className":5762,"style":2407},[376],[280,5764,5766,5769],{"className":5765},[346],[280,5767,1051],{"className":5768},[346],[280,5770,1833],{"className":5771},[346,350],[280,5773,5774,5777],{"style":2422},[280,5775],{"className":5776,"style":2407},[376],[280,5778],{"className":5779,"style":2430},[2429],[280,5781,5782,5785],{"style":4351},[280,5783],{"className":5784,"style":2407},[376],[280,5786,5788,5828,5831,5834,5837,5840,5843,5846,5849,5852,5855,5858,5861,5901,5904,5907],{"className":5787},[346],[280,5789,5791,5794],{"className":5790},[346],[280,5792,2029],{"className":5793,"style":2044},[346,350],[280,5795,5797],{"className":5796},[355],[280,5798,5800,5820],{"className":5799},[359,360],[280,5801,5803,5817],{"className":5802},[364],[280,5804,5806],{"className":5805,"style":1097},[368],[280,5807,5808,5811],{"style":2297},[280,5809],{"className":5810,"style":377},[376],[280,5812,5814],{"className":5813},[381,382,383,384],[280,5815,234],{"className":5816},[346,350,384],[280,5818,396],{"className":5819},[395],[280,5821,5823],{"className":5822},[364],[280,5824,5826],{"className":5825,"style":1119},[368],[280,5827],{},[280,5829,1828],{"className":5830},[1906],[280,5832,1833],{"className":5833},[346,350],[280,5835],{"className":5836,"style":351},[409],[280,5838,3694],{"className":5839},[413],[280,5841],{"className":5842,"style":351},[409],[280,5844,1051],{"className":5845},[346],[280,5847,1833],{"className":5848},[346,350],[280,5850,1838],{"className":5851},[1950],[280,5853],{"className":5854,"style":351},[409],[280,5856,316],{"className":5857},[413],[280,5859],{"className":5860,"style":351},[409],[280,5862,5864,5867],{"className":5863},[346],[280,5865,2029],{"className":5866,"style":2044},[346,350],[280,5868,5870],{"className":5869},[355],[280,5871,5873,5893],{"className":5872},[359,360],[280,5874,5876,5890],{"className":5875},[364],[280,5877,5879],{"className":5878,"style":1097},[368],[280,5880,5881,5884],{"style":2297},[280,5882],{"className":5883,"style":377},[376],[280,5885,5887],{"className":5886},[381,382,383,384],[280,5888,234],{"className":5889},[346,350,384],[280,5891,396],{"className":5892},[395],[280,5894,5896],{"className":5895},[364],[280,5897,5899],{"className":5898,"style":1119},[368],[280,5900],{},[280,5902,1828],{"className":5903},[1906],[280,5905,1833],{"className":5906},[346,350],[280,5908,1838],{"className":5909},[1950],[280,5911,396],{"className":5912},[395],[280,5914,5916],{"className":5915},[364],[280,5917,5919],{"className":5918,"style":5519},[368],[280,5920],{},[280,5922],{"className":5923},[1950,2387],[280,5925],{"className":5926,"style":576},[409],[280,5928,2696],{"className":5929},[580],[280,5931],{"className":5932,"style":576},[409],[280,5934,5936,5939,5942],{"className":5935},[337],[280,5937],{"className":5938,"style":4638},[341],[280,5940,667],{"className":5941,"style":690},[346,350],[280,5943,5945,5948,6041],{"className":5944},[346],[280,5946],{"className":5947},[1906,2387],[280,5949,5951],{"className":5950},[2246],[280,5952,5954,6033],{"className":5953},[359,360],[280,5955,5957,6030],{"className":5956},[364],[280,5958,5960,6008,6016],{"className":5959,"style":4657},[368],[280,5961,5962,5965],{"style":4331},[280,5963],{"className":5964,"style":2407},[376],[280,5966,5968],{"className":5967},[346],[280,5969,5971,5974],{"className":5970},[346],[280,5972,3874],{"className":5973,"style":3926},[346,350],[280,5975,5977],{"className":5976},[355],[280,5978,5980,6000],{"className":5979},[359,360],[280,5981,5983,5997],{"className":5982},[364],[280,5984,5986],{"className":5985,"style":1097},[368],[280,5987,5988,5991],{"style":4686},[280,5989],{"className":5990,"style":377},[376],[280,5992,5994],{"className":5993},[381,382,383,384],[280,5995,234],{"className":5996},[346,350,384],[280,5998,396],{"className":5999},[395],[280,6001,6003],{"className":6002},[364],[280,6004,6006],{"className":6005,"style":1119},[368],[280,6007],{},[280,6009,6010,6013],{"style":2422},[280,6011],{"className":6012,"style":2407},[376],[280,6014],{"className":6015,"style":2430},[2429],[280,6017,6018,6021],{"style":4351},[280,6019],{"className":6020,"style":2407},[376],[280,6022,6024,6027],{"className":6023},[346],[280,6025,1051],{"className":6026},[346],[280,6028,234],{"className":6029},[346,350],[280,6031,396],{"className":6032},[395],[280,6034,6036],{"className":6035},[364],[280,6037,6039],{"className":6038,"style":4738},[368],[280,6040],{},[280,6042],{"className":6043},[1950,2387],[234,6045,6046,6047,6103],{},"当 ",[280,6048,6050,6070],{"className":6049},[283],[280,6051,6053],{"className":6052},[287],[289,6054,6055],{"xmlns":291},[293,6056,6057,6067],{},[296,6058,6059,6061,6063,6065],{},[302,6060,1051],{"mathvariant":1050},[302,6062,1833],{},[314,6064,1268],{},[958,6066,960],{},[325,6068,6069],{"encoding":327},"\\Delta x \\to 0",[280,6071,6073,6094],{"className":6072,"ariaHidden":333},[332],[280,6074,6076,6079,6082,6085,6088,6091],{"className":6075},[337],[280,6077],{"className":6078,"style":911},[341],[280,6080,1051],{"className":6081},[346],[280,6083,1833],{"className":6084},[346,350],[280,6086],{"className":6087,"style":576},[409],[280,6089,1268],{"className":6090},[580],[280,6092],{"className":6093,"style":576},[409],[280,6095,6097,6100],{"className":6096},[337],[280,6098],{"className":6099,"style":1028},[341],[280,6101,960],{"className":6102},[346]," 时，左侧即是导数的定义，我们得到稳态连续性方程：",[280,6105,6107],{"className":6106},[4205],[280,6108,6110,6160],{"className":6109},[283],[280,6111,6113],{"className":6112},[287],[289,6114,6115],{"xmlns":291,"display":4214},[293,6116,6117,6157],{},[296,6118,6119,6121,6139,6141,6143],{},[314,6120,316],{},[2246,6122,6123,6133],{},[296,6124,6125,6127],{},[302,6126,2252],{},[299,6128,6129,6131],{},[302,6130,2029],{},[302,6132,234],{},[296,6134,6135,6137],{},[302,6136,2252],{},[302,6138,1833],{},[314,6140,2696],{},[302,6142,667],{},[2246,6144,6145,6151],{},[296,6146,6147,6149],{},[302,6148,1051],{"mathvariant":1050},[302,6150,234],{},[299,6152,6153,6155],{},[302,6154,3874],{},[302,6156,234],{},[325,6158,6159],{"encoding":327},"-\\frac{dJ_p}{dx} = q \\frac{\\Delta p}{\\tau_p}",[280,6161,6163,6288],{"className":6162,"ariaHidden":333},[332],[280,6164,6166,6170,6173,6279,6282,6285],{"className":6165},[337],[280,6167],{"className":6168,"style":6169},[341],"height:2.0574em;vertical-align:-0.686em;",[280,6171,316],{"className":6172},[346],[280,6174,6176,6179,6276],{"className":6175},[346],[280,6177],{"className":6178},[1906,2387],[280,6180,6182],{"className":6181},[2246],[280,6183,6185,6268],{"className":6184},[359,360],[280,6186,6188,6265],{"className":6187},[364],[280,6189,6192,6206,6214],{"className":6190,"style":6191},[368],"height:1.3714em;",[280,6193,6194,6197],{"style":4331},[280,6195],{"className":6196,"style":2407},[376],[280,6198,6200,6203],{"className":6199},[346],[280,6201,2252],{"className":6202},[346,350],[280,6204,1833],{"className":6205},[346,350],[280,6207,6208,6211],{"style":2422},[280,6209],{"className":6210,"style":2407},[376],[280,6212],{"className":6213,"style":2430},[2429],[280,6215,6216,6219],{"style":4351},[280,6217],{"className":6218,"style":2407},[376],[280,6220,6222,6225],{"className":6221},[346],[280,6223,2252],{"className":6224},[346,350],[280,6226,6228,6231],{"className":6227},[346],[280,6229,2029],{"className":6230,"style":2044},[346,350],[280,6232,6234],{"className":6233},[355],[280,6235,6237,6257],{"className":6236},[359,360],[280,6238,6240,6254],{"className":6239},[364],[280,6241,6243],{"className":6242,"style":1097},[368],[280,6244,6245,6248],{"style":2297},[280,6246],{"className":6247,"style":377},[376],[280,6249,6251],{"className":6250},[381,382,383,384],[280,6252,234],{"className":6253},[346,350,384],[280,6255,396],{"className":6256},[395],[280,6258,6260],{"className":6259},[364],[280,6261,6263],{"className":6262,"style":1119},[368],[280,6264],{},[280,6266,396],{"className":6267},[395],[280,6269,6271],{"className":6270},[364],[280,6272,6274],{"className":6273,"style":5519},[368],[280,6275],{},[280,6277],{"className":6278},[1950,2387],[280,6280],{"className":6281,"style":576},[409],[280,6283,2696],{"className":6284},[580],[280,6286],{"className":6287,"style":576},[409],[280,6289,6291,6294,6297],{"className":6290},[337],[280,6292],{"className":6293,"style":4638},[341],[280,6295,667],{"className":6296,"style":690},[346,350],[280,6298,6300,6303,6396],{"className":6299},[346],[280,6301],{"className":6302},[1906,2387],[280,6304,6306],{"className":6305},[2246],[280,6307,6309,6388],{"className":6308},[359,360],[280,6310,6312,6385],{"className":6311},[364],[280,6313,6315,6363,6371],{"className":6314,"style":4657},[368],[280,6316,6317,6320],{"style":4331},[280,6318],{"className":6319,"style":2407},[376],[280,6321,6323],{"className":6322},[346],[280,6324,6326,6329],{"className":6325},[346],[280,6327,3874],{"className":6328,"style":3926},[346,350],[280,6330,6332],{"className":6331},[355],[280,6333,6335,6355],{"className":6334},[359,360],[280,6336,6338,6352],{"className":6337},[364],[280,6339,6341],{"className":6340,"style":1097},[368],[280,6342,6343,6346],{"style":4686},[280,6344],{"className":6345,"style":377},[376],[280,6347,6349],{"className":6348},[381,382,383,384],[280,6350,234],{"className":6351},[346,350,384],[280,6353,396],{"className":6354},[395],[280,6356,6358],{"className":6357},[364],[280,6359,6361],{"className":6360,"style":1119},[368],[280,6362],{},[280,6364,6365,6368],{"style":2422},[280,6366],{"className":6367,"style":2407},[376],[280,6369],{"className":6370,"style":2430},[2429],[280,6372,6373,6376],{"style":4351},[280,6374],{"className":6375,"style":2407},[376],[280,6377,6379,6382],{"className":6378},[346],[280,6380,1051],{"className":6381},[346],[280,6383,234],{"className":6384},[346,350],[280,6386,396],{"className":6387},[395],[280,6389,6391],{"className":6390},[364],[280,6392,6394],{"className":6393,"style":4738},[368],[280,6395],{},[280,6397],{"className":6398},[1950,2387],[3263,6400,6401],{"id":6401},"物理意义",[234,6403,6404,6405,6565],{},"空穴电流密度随距离的负变化率（",[280,6406,6408,6440],{"className":6407},[283],[280,6409,6411],{"className":6410},[287],[289,6412,6413],{"xmlns":291},[293,6414,6415,6437],{},[296,6416,6417,6419],{},[314,6418,316],{},[2246,6420,6421,6431],{},[296,6422,6423,6425],{},[302,6424,2252],{},[299,6426,6427,6429],{},[302,6428,2029],{},[302,6430,234],{},[296,6432,6433,6435],{},[302,6434,2252],{},[302,6436,1833],{},[325,6438,6439],{"encoding":327},"-\\frac{dJ_p}{dx}",[280,6441,6443],{"className":6442,"ariaHidden":333},[332],[280,6444,6446,6450,6453],{"className":6445},[337],[280,6447],{"className":6448,"style":6449},[341],"height:1.3384em;vertical-align:-0.345em;",[280,6451,316],{"className":6452},[346],[280,6454,6456,6459,6562],{"className":6455},[346],[280,6457],{"className":6458},[1906,2387],[280,6460,6462],{"className":6461},[2246],[280,6463,6465,6554],{"className":6464},[359,360],[280,6466,6468,6551],{"className":6467},[364],[280,6469,6472,6489,6497],{"className":6470,"style":6471},[368],"height:0.9934em;",[280,6473,6474,6477],{"style":2403},[280,6475],{"className":6476,"style":2407},[376],[280,6478,6480],{"className":6479},[381,382,383,384],[280,6481,6483,6486],{"className":6482},[346,384],[280,6484,2252],{"className":6485},[346,350,384],[280,6487,1833],{"className":6488},[346,350,384],[280,6490,6491,6494],{"style":2422},[280,6492],{"className":6493,"style":2407},[376],[280,6495],{"className":6496,"style":2430},[2429],[280,6498,6499,6502],{"style":3574},[280,6500],{"className":6501,"style":2407},[376],[280,6503,6505],{"className":6504},[381,382,383,384],[280,6506,6508,6511],{"className":6507},[346,384],[280,6509,2252],{"className":6510},[346,350,384],[280,6512,6514,6517],{"className":6513},[346,384],[280,6515,2029],{"className":6516,"style":2044},[346,350,384],[280,6518,6520],{"className":6519},[355],[280,6521,6523,6543],{"className":6522},[359,360],[280,6524,6526,6540],{"className":6525},[364],[280,6527,6529],{"className":6528,"style":2464},[368],[280,6530,6531,6534],{"style":3610},[280,6532],{"className":6533,"style":2471},[376],[280,6535,6537],{"className":6536},[381,2475,2476,384],[280,6538,234],{"className":6539},[346,350,384],[280,6541,396],{"className":6542},[395],[280,6544,6546],{"className":6545},[364],[280,6547,6549],{"className":6548,"style":3629},[368],[280,6550],{},[280,6552,396],{"className":6553},[395],[280,6555,6557],{"className":6556},[364],[280,6558,6560],{"className":6559,"style":2501},[368],[280,6561],{},[280,6563],{"className":6564},[1950,2387],"），等于该点的净复合率。也就是说，如果电流向右流动时逐渐减小，那必定是因为载流子在途中复合消失了。",[1699,6567],{},[3314,6569,6571],{"id":6570},"少数载流子扩散方程-page-16","少数载流子扩散方程 (Page 16)",[234,6573,6574],{},"上一页的连续性方程是普适的。现在我们将其应用于一个特定但非常重要的情况：准中性区中的少数载流子。",[3263,6576,6578],{"id":6577},"关键假设低水平注入low-level-injection","关键假设：低水平注入（Low-Level Injection）",[234,6580,6581,6582,6611,6612,6682],{},"在准中性区（QNR），电场 ",[280,6583,6585,6598],{"className":6584},[283],[280,6586,6588],{"className":6587},[287],[289,6589,6590],{"xmlns":291},[293,6591,6592,6596],{},[296,6593,6594],{},[302,6595,2064],{},[325,6597,2064],{"encoding":327},[280,6599,6601],{"className":6600,"ariaHidden":333},[332],[280,6602,6604,6607],{"className":6603},[337],[280,6605],{"className":6606,"style":911},[341],[280,6608,2064],{"className":6609,"style":6610},[346,350],"margin-right:0.0576em;"," 非常小（大部分电压降在耗尽区）。少数载流子（例如N区的空穴）的电流 ",[280,6613,6615,6633],{"className":6614},[283],[280,6616,6618],{"className":6617},[287],[289,6619,6620],{"xmlns":291},[293,6621,6622,6630],{},[296,6623,6624],{},[299,6625,6626,6628],{},[302,6627,2029],{},[302,6629,234],{},[325,6631,6632],{"encoding":327},"J_p",[280,6634,6636],{"className":6635,"ariaHidden":333},[332],[280,6637,6639,6642],{"className":6638},[337],[280,6640],{"className":6641,"style":1075},[341],[280,6643,6645,6648],{"className":6644},[346],[280,6646,2029],{"className":6647,"style":2044},[346,350],[280,6649,6651],{"className":6650},[355],[280,6652,6654,6674],{"className":6653},[359,360],[280,6655,6657,6671],{"className":6656},[364],[280,6658,6660],{"className":6659,"style":1097},[368],[280,6661,6662,6665],{"style":2297},[280,6663],{"className":6664,"style":377},[376],[280,6666,6668],{"className":6667},[381,382,383,384],[280,6669,234],{"className":6670},[346,350,384],[280,6672,396],{"className":6673},[395],[280,6675,6677],{"className":6676},[364],[280,6678,6680],{"className":6679,"style":1119},[368],[280,6681],{}," 由漂移和扩散两部分组成：",[280,6684,6686],{"className":6685},[4205],[280,6687,6689,6745],{"className":6688},[283],[280,6690,6692],{"className":6691},[287],[289,6693,6694],{"xmlns":291,"display":4214},[293,6695,6696,6742],{},[296,6697,6698,6704,6706,6708,6714,6716,6718,6720,6722,6728],{},[299,6699,6700,6702],{},[302,6701,2029],{},[302,6703,234],{},[314,6705,2696],{},[302,6707,667],{},[299,6709,6710,6712],{},[302,6711,2105],{},[302,6713,234],{},[302,6715,234],{},[302,6717,2064],{},[314,6719,316],{},[302,6721,667],{},[299,6723,6724,6726],{},[302,6725,1849],{},[302,6727,234],{},[2246,6729,6730,6736],{},[296,6731,6732,6734],{},[302,6733,2252],{},[302,6735,234],{},[296,6737,6738,6740],{},[302,6739,2252],{},[302,6741,1833],{},[325,6743,6744],{"encoding":327},"J_p = q\\mu_p p E - qD_p \\frac{dp}{dx}",[280,6746,6748,6803,6865],{"className":6747,"ariaHidden":333},[332],[280,6749,6751,6754,6794,6797,6800],{"className":6750},[337],[280,6752],{"className":6753,"style":1075},[341],[280,6755,6757,6760],{"className":6756},[346],[280,6758,2029],{"className":6759,"style":2044},[346,350],[280,6761,6763],{"className":6762},[355],[280,6764,6766,6786],{"className":6765},[359,360],[280,6767,6769,6783],{"className":6768},[364],[280,6770,6772],{"className":6771,"style":1097},[368],[280,6773,6774,6777],{"style":2297},[280,6775],{"className":6776,"style":377},[376],[280,6778,6780],{"className":6779},[381,382,383,384],[280,6781,234],{"className":6782},[346,350,384],[280,6784,396],{"className":6785},[395],[280,6787,6789],{"className":6788},[364],[280,6790,6792],{"className":6791,"style":1119},[368],[280,6793],{},[280,6795],{"className":6796,"style":576},[409],[280,6798,2696],{"className":6799},[580],[280,6801],{"className":6802,"style":576},[409],[280,6804,6806,6809,6812,6852,6856,6859,6862],{"className":6805},[337],[280,6807],{"className":6808,"style":1075},[341],[280,6810,667],{"className":6811,"style":690},[346,350],[280,6813,6815,6818],{"className":6814},[346],[280,6816,2105],{"className":6817},[346,350],[280,6819,6821],{"className":6820},[355],[280,6822,6824,6844],{"className":6823},[359,360],[280,6825,6827,6841],{"className":6826},[364],[280,6828,6830],{"className":6829,"style":1097},[368],[280,6831,6832,6835],{"style":1100},[280,6833],{"className":6834,"style":377},[376],[280,6836,6838],{"className":6837},[381,382,383,384],[280,6839,234],{"className":6840},[346,350,384],[280,6842,396],{"className":6843},[395],[280,6845,6847],{"className":6846},[364],[280,6848,6850],{"className":6849,"style":1119},[368],[280,6851],{},[280,6853,6855],{"className":6854,"style":6610},[346,350],"pE",[280,6857],{"className":6858,"style":351},[409],[280,6860,316],{"className":6861},[413],[280,6863],{"className":6864,"style":351},[409],[280,6866,6868,6871,6874,6914],{"className":6867},[337],[280,6869],{"className":6870,"style":6169},[341],[280,6872,667],{"className":6873,"style":690},[346,350],[280,6875,6877,6880],{"className":6876},[346],[280,6878,1849],{"className":6879,"style":1997},[346,350],[280,6881,6883],{"className":6882},[355],[280,6884,6886,6906],{"className":6885},[359,360],[280,6887,6889,6903],{"className":6888},[364],[280,6890,6892],{"className":6891,"style":1097},[368],[280,6893,6894,6897],{"style":2360},[280,6895],{"className":6896,"style":377},[376],[280,6898,6900],{"className":6899},[381,382,383,384],[280,6901,234],{"className":6902},[346,350,384],[280,6904,396],{"className":6905},[395],[280,6907,6909],{"className":6908},[364],[280,6910,6912],{"className":6911,"style":1119},[368],[280,6913],{},[280,6915,6917,6920,6979],{"className":6916},[346],[280,6918],{"className":6919},[1906,2387],[280,6921,6923],{"className":6922},[2246],[280,6924,6926,6971],{"className":6925},[359,360],[280,6927,6929,6968],{"className":6928},[364],[280,6930,6932,6946,6954],{"className":6931,"style":6191},[368],[280,6933,6934,6937],{"style":4331},[280,6935],{"className":6936,"style":2407},[376],[280,6938,6940,6943],{"className":6939},[346],[280,6941,2252],{"className":6942},[346,350],[280,6944,1833],{"className":6945},[346,350],[280,6947,6948,6951],{"style":2422},[280,6949],{"className":6950,"style":2407},[376],[280,6952],{"className":6953,"style":2430},[2429],[280,6955,6956,6959],{"style":4351},[280,6957],{"className":6958,"style":2407},[376],[280,6960,6962,6965],{"className":6961},[346],[280,6963,2252],{"className":6964},[346,350],[280,6966,234],{"className":6967},[346,350],[280,6969,396],{"className":6970},[395],[280,6972,6974],{"className":6973},[364],[280,6975,6977],{"className":6976,"style":5519},[368],[280,6978],{},[280,6980],{"className":6981},[1950,2387],[234,6983,6984,6985,7013,7014,7042,7043,7125],{},"因为 ",[280,6986,6988,7001],{"className":6987},[283],[280,6989,6991],{"className":6990},[287],[289,6992,6993],{"xmlns":291},[293,6994,6995,6999],{},[296,6996,6997],{},[302,6998,234],{},[325,7000,234],{"encoding":327},[280,7002,7004],{"className":7003,"ariaHidden":333},[332],[280,7005,7007,7010],{"className":7006},[337],[280,7008],{"className":7009,"style":5248},[341],[280,7011,234],{"className":7012},[346,350],"（少子浓度）和 ",[280,7015,7017,7030],{"className":7016},[283],[280,7018,7020],{"className":7019},[287],[289,7021,7022],{"xmlns":291},[293,7023,7024,7028],{},[296,7025,7026],{},[302,7027,2064],{},[325,7029,2064],{"encoding":327},[280,7031,7033],{"className":7032,"ariaHidden":333},[332],[280,7034,7036,7039],{"className":7035},[337],[280,7037],{"className":7038,"style":911},[341],[280,7040,2064],{"className":7041,"style":6610},[346,350]," 都很小，所以漂移项 ",[280,7044,7046,7070],{"className":7045},[283],[280,7047,7049],{"className":7048},[287],[289,7050,7051],{"xmlns":291},[293,7052,7053,7067],{},[296,7054,7055,7057,7063,7065],{},[302,7056,667],{},[299,7058,7059,7061],{},[302,7060,2105],{},[302,7062,234],{},[302,7064,234],{},[302,7066,2064],{},[325,7068,7069],{"encoding":327},"q\\mu_p p E",[280,7071,7073],{"className":7072,"ariaHidden":333},[332],[280,7074,7076,7079,7082,7122],{"className":7075},[337],[280,7077],{"className":7078,"style":1075},[341],[280,7080,667],{"className":7081,"style":690},[346,350],[280,7083,7085,7088],{"className":7084},[346],[280,7086,2105],{"className":7087},[346,350],[280,7089,7091],{"className":7090},[355],[280,7092,7094,7114],{"className":7093},[359,360],[280,7095,7097,7111],{"className":7096},[364],[280,7098,7100],{"className":7099,"style":1097},[368],[280,7101,7102,7105],{"style":1100},[280,7103],{"className":7104,"style":377},[376],[280,7106,7108],{"className":7107},[381,382,383,384],[280,7109,234],{"className":7110},[346,350,384],[280,7112,396],{"className":7113},[395],[280,7115,7117],{"className":7116},[364],[280,7118,7120],{"className":7119,"style":1119},[368],[280,7121],{},[280,7123,6855],{"className":7124,"style":6610},[346,350]," 可以忽略不计。",[3263,7127,7128],{"id":7128},"简化电流方程",[234,7130,7131],{},"因此，少数载流子电流几乎完全是扩散电流：",[280,7133,7135],{"className":7134},[4205],[280,7136,7138,7182],{"className":7137},[283],[280,7139,7141],{"className":7140},[287],[289,7142,7143],{"xmlns":291,"display":4214},[293,7144,7145,7179],{},[296,7146,7147,7153,7155,7157,7159,7165],{},[299,7148,7149,7151],{},[302,7150,2029],{},[302,7152,234],{},[314,7154,1841],{},[314,7156,316],{},[302,7158,667],{},[299,7160,7161,7163],{},[302,7162,1849],{},[302,7164,234],{},[2246,7166,7167,7173],{},[296,7168,7169,7171],{},[302,7170,2252],{},[302,7172,234],{},[296,7174,7175,7177],{},[302,7176,2252],{},[302,7178,1833],{},[325,7180,7181],{"encoding":327},"J_p \\approx -qD_p \\frac{dp}{dx}",[280,7183,7185,7240],{"className":7184,"ariaHidden":333},[332],[280,7186,7188,7191,7231,7234,7237],{"className":7187},[337],[280,7189],{"className":7190,"style":1075},[341],[280,7192,7194,7197],{"className":7193},[346],[280,7195,2029],{"className":7196,"style":2044},[346,350],[280,7198,7200],{"className":7199},[355],[280,7201,7203,7223],{"className":7202},[359,360],[280,7204,7206,7220],{"className":7205},[364],[280,7207,7209],{"className":7208,"style":1097},[368],[280,7210,7211,7214],{"style":2297},[280,7212],{"className":7213,"style":377},[376],[280,7215,7217],{"className":7216},[381,382,383,384],[280,7218,234],{"className":7219},[346,350,384],[280,7221,396],{"className":7222},[395],[280,7224,7226],{"className":7225},[364],[280,7227,7229],{"className":7228,"style":1119},[368],[280,7230],{},[280,7232],{"className":7233,"style":576},[409],[280,7235,1841],{"className":7236},[580],[280,7238],{"className":7239,"style":576},[409],[280,7241,7243,7246,7249,7252,7292],{"className":7242},[337],[280,7244],{"className":7245,"style":6169},[341],[280,7247,316],{"className":7248},[346],[280,7250,667],{"className":7251,"style":690},[346,350],[280,7253,7255,7258],{"className":7254},[346],[280,7256,1849],{"className":7257,"style":1997},[346,350],[280,7259,7261],{"className":7260},[355],[280,7262,7264,7284],{"className":7263},[359,360],[280,7265,7267,7281],{"className":7266},[364],[280,7268,7270],{"className":7269,"style":1097},[368],[280,7271,7272,7275],{"style":2360},[280,7273],{"className":7274,"style":377},[376],[280,7276,7278],{"className":7277},[381,382,383,384],[280,7279,234],{"className":7280},[346,350,384],[280,7282,396],{"className":7283},[395],[280,7285,7287],{"className":7286},[364],[280,7288,7290],{"className":7289,"style":1119},[368],[280,7291],{},[280,7293,7295,7298,7357],{"className":7294},[346],[280,7296],{"className":7297},[1906,2387],[280,7299,7301],{"className":7300},[2246],[280,7302,7304,7349],{"className":7303},[359,360],[280,7305,7307,7346],{"className":7306},[364],[280,7308,7310,7324,7332],{"className":7309,"style":6191},[368],[280,7311,7312,7315],{"style":4331},[280,7313],{"className":7314,"style":2407},[376],[280,7316,7318,7321],{"className":7317},[346],[280,7319,2252],{"className":7320},[346,350],[280,7322,1833],{"className":7323},[346,350],[280,7325,7326,7329],{"style":2422},[280,7327],{"className":7328,"style":2407},[376],[280,7330],{"className":7331,"style":2430},[2429],[280,7333,7334,7337],{"style":4351},[280,7335],{"className":7336,"style":2407},[376],[280,7338,7340,7343],{"className":7339},[346],[280,7341,2252],{"className":7342},[346,350],[280,7344,234],{"className":7345},[346,350],[280,7347,396],{"className":7348},[395],[280,7350,7352],{"className":7351},[364],[280,7353,7355],{"className":7354,"style":5519},[368],[280,7356],{},[280,7358],{"className":7359},[1950,2387],[234,7361,7362,7363,7524,7525,7605,7606,881],{},"又因为 ",[280,7364,7366,7410],{"className":7365},[283],[280,7367,7369],{"className":7368},[287],[289,7370,7371],{"xmlns":291},[293,7372,7373,7407],{},[296,7374,7375,7377,7379,7381,7383,7385,7395,7397,7399,7401,7403,7405],{},[302,7376,234],{},[314,7378,1828],{"stretchy":1827},[302,7380,1833],{},[314,7382,1838],{"stretchy":1827},[314,7384,2696],{},[299,7386,7387,7389],{},[302,7388,234],{},[296,7390,7391,7393],{},[302,7392,1056],{},[958,7394,960],{},[314,7396,3694],{},[302,7398,1051],{"mathvariant":1050},[302,7400,234],{},[314,7402,1828],{"stretchy":1827},[302,7404,1833],{},[314,7406,1838],{"stretchy":1827},[325,7408,7409],{"encoding":327},"p(x) = p_{n0} + \\Delta p(x)",[280,7411,7413,7440,7503],{"className":7412,"ariaHidden":333},[332],[280,7414,7416,7419,7422,7425,7428,7431,7434,7437],{"className":7415},[337],[280,7417],{"className":7418,"style":1862},[341],[280,7420,234],{"className":7421},[346,350],[280,7423,1828],{"className":7424},[1906],[280,7426,1833],{"className":7427},[346,350],[280,7429,1838],{"className":7430},[1950],[280,7432],{"className":7433,"style":576},[409],[280,7435,2696],{"className":7436},[580],[280,7438],{"className":7439,"style":576},[409],[280,7441,7443,7447,7494,7497,7500],{"className":7442},[337],[280,7444],{"className":7445,"style":7446},[341],"height:0.7778em;vertical-align:-0.1944em;",[280,7448,7450,7453],{"className":7449},[346],[280,7451,234],{"className":7452},[346,350],[280,7454,7456],{"className":7455},[355],[280,7457,7459,7486],{"className":7458},[359,360],[280,7460,7462,7483],{"className":7461},[364],[280,7463,7466],{"className":7464,"style":7465},[368],"height:0.3011em;",[280,7467,7468,7471],{"style":1100},[280,7469],{"className":7470,"style":377},[376],[280,7472,7474],{"className":7473},[381,382,383,384],[280,7475,7477,7480],{"className":7476},[346,384],[280,7478,1056],{"className":7479},[346,350,384],[280,7481,960],{"className":7482},[346,384],[280,7484,396],{"className":7485},[395],[280,7487,7489],{"className":7488},[364],[280,7490,7492],{"className":7491,"style":403},[368],[280,7493],{},[280,7495],{"className":7496,"style":351},[409],[280,7498,3694],{"className":7499},[413],[280,7501],{"className":7502,"style":351},[409],[280,7504,7506,7509,7512,7515,7518,7521],{"className":7505},[337],[280,7507],{"className":7508,"style":1862},[341],[280,7510,1051],{"className":7511},[346],[280,7513,234],{"className":7514},[346,350],[280,7516,1828],{"className":7517},[1906],[280,7519,1833],{"className":7520},[346,350],[280,7522,1838],{"className":7523},[1950],"，而平衡浓度 ",[280,7526,7528,7550],{"className":7527},[283],[280,7529,7531],{"className":7530},[287],[289,7532,7533],{"xmlns":291},[293,7534,7535,7547],{},[296,7536,7537],{},[299,7538,7539,7541],{},[302,7540,234],{},[296,7542,7543,7545],{},[302,7544,1056],{},[958,7546,960],{},[325,7548,7549],{"encoding":327},"p_{n0}",[280,7551,7553],{"className":7552,"ariaHidden":333},[332],[280,7554,7556,7559],{"className":7555},[337],[280,7557],{"className":7558,"style":5248},[341],[280,7560,7562,7565],{"className":7561},[346],[280,7563,234],{"className":7564},[346,350],[280,7566,7568],{"className":7567},[355],[280,7569,7571,7597],{"className":7570},[359,360],[280,7572,7574,7594],{"className":7573},[364],[280,7575,7577],{"className":7576,"style":7465},[368],[280,7578,7579,7582],{"style":1100},[280,7580],{"className":7581,"style":377},[376],[280,7583,7585],{"className":7584},[381,382,383,384],[280,7586,7588,7591],{"className":7587},[346,384],[280,7589,1056],{"className":7590},[346,350,384],[280,7592,960],{"className":7593},[346,384],[280,7595,396],{"className":7596},[395],[280,7598,7600],{"className":7599},[364],[280,7601,7603],{"className":7602,"style":403},[368],[280,7604],{}," 是一个常数，所以 ",[280,7607,7609,7653],{"className":7608},[283],[280,7610,7612],{"className":7611},[287],[289,7613,7614],{"xmlns":291},[293,7615,7616,7650],{},[296,7617,7618,7632,7634],{},[2246,7619,7620,7626],{},[296,7621,7622,7624],{},[302,7623,2252],{},[302,7625,234],{},[296,7627,7628,7630],{},[302,7629,2252],{},[302,7631,1833],{},[314,7633,2696],{},[2246,7635,7636,7644],{},[296,7637,7638,7640,7642],{},[302,7639,2252],{},[302,7641,1051],{"mathvariant":1050},[302,7643,234],{},[296,7645,7646,7648],{},[302,7647,2252],{},[302,7649,1833],{},[325,7651,7652],{"encoding":327},"\\frac{dp}{dx} = \\frac{d\\Delta p}{dx}",[280,7654,7656,7745],{"className":7655,"ariaHidden":333},[332],[280,7657,7659,7662,7736,7739,7742],{"className":7658},[337],[280,7660],{"className":7661,"style":2333},[341],[280,7663,7665,7668,7733],{"className":7664},[346],[280,7666],{"className":7667},[1906,2387],[280,7669,7671],{"className":7670},[2246],[280,7672,7674,7725],{"className":7673},[359,360],[280,7675,7677,7722],{"className":7676},[364],[280,7678,7680,7697,7705],{"className":7679,"style":2400},[368],[280,7681,7682,7685],{"style":2403},[280,7683],{"className":7684,"style":2407},[376],[280,7686,7688],{"className":7687},[381,382,383,384],[280,7689,7691,7694],{"className":7690},[346,384],[280,7692,2252],{"className":7693},[346,350,384],[280,7695,1833],{"className":7696},[346,350,384],[280,7698,7699,7702],{"style":2422},[280,7700],{"className":7701,"style":2407},[376],[280,7703],{"className":7704,"style":2430},[2429],[280,7706,7707,7710],{"style":2433},[280,7708],{"className":7709,"style":2407},[376],[280,7711,7713],{"className":7712},[381,382,383,384],[280,7714,7716,7719],{"className":7715},[346,384],[280,7717,2252],{"className":7718},[346,350,384],[280,7720,234],{"className":7721},[346,350,384],[280,7723,396],{"className":7724},[395],[280,7726,7728],{"className":7727},[364],[280,7729,7731],{"className":7730,"style":2501},[368],[280,7732],{},[280,7734],{"className":7735},[1950,2387],[280,7737],{"className":7738,"style":576},[409],[280,7740,2696],{"className":7741},[580],[280,7743],{"className":7744,"style":576},[409],[280,7746,7748,7751],{"className":7747},[337],[280,7749],{"className":7750,"style":2333},[341],[280,7752,7754,7757,7825],{"className":7753},[346],[280,7755],{"className":7756},[1906,2387],[280,7758,7760],{"className":7759},[2246],[280,7761,7763,7817],{"className":7762},[359,360],[280,7764,7766,7814],{"className":7765},[364],[280,7767,7769,7786,7794],{"className":7768,"style":2400},[368],[280,7770,7771,7774],{"style":2403},[280,7772],{"className":7773,"style":2407},[376],[280,7775,7777],{"className":7776},[381,382,383,384],[280,7778,7780,7783],{"className":7779},[346,384],[280,7781,2252],{"className":7782},[346,350,384],[280,7784,1833],{"className":7785},[346,350,384],[280,7787,7788,7791],{"style":2422},[280,7789],{"className":7790,"style":2407},[376],[280,7792],{"className":7793,"style":2430},[2429],[280,7795,7796,7799],{"style":2433},[280,7797],{"className":7798,"style":2407},[376],[280,7800,7802],{"className":7801},[381,382,383,384],[280,7803,7805,7808,7811],{"className":7804},[346,384],[280,7806,2252],{"className":7807},[346,350,384],[280,7809,1051],{"className":7810},[346,384],[280,7812,234],{"className":7813},[346,350,384],[280,7815,396],{"className":7816},[395],[280,7818,7820],{"className":7819},[364],[280,7821,7823],{"className":7822,"style":2501},[368],[280,7824],{},[280,7826],{"className":7827},[1950,2387],[280,7829,7831],{"className":7830},[4205],[280,7832,7834,7880],{"className":7833},[283],[280,7835,7837],{"className":7836},[287],[289,7838,7839],{"xmlns":291,"display":4214},[293,7840,7841,7877],{},[296,7842,7843,7849,7851,7853,7855,7861],{},[299,7844,7845,7847],{},[302,7846,2029],{},[302,7848,234],{},[314,7850,2696],{},[314,7852,316],{},[302,7854,667],{},[299,7856,7857,7859],{},[302,7858,1849],{},[302,7860,234],{},[2246,7862,7863,7871],{},[296,7864,7865,7867,7869],{},[302,7866,2252],{},[302,7868,1051],{"mathvariant":1050},[302,7870,234],{},[296,7872,7873,7875],{},[302,7874,2252],{},[302,7876,1833],{},[325,7878,7879],{"encoding":327},"J_p = -qD_p \\frac{d\\Delta p}{dx}",[280,7881,7883,7938],{"className":7882,"ariaHidden":333},[332],[280,7884,7886,7889,7929,7932,7935],{"className":7885},[337],[280,7887],{"className":7888,"style":1075},[341],[280,7890,7892,7895],{"className":7891},[346],[280,7893,2029],{"className":7894,"style":2044},[346,350],[280,7896,7898],{"className":7897},[355],[280,7899,7901,7921],{"className":7900},[359,360],[280,7902,7904,7918],{"className":7903},[364],[280,7905,7907],{"className":7906,"style":1097},[368],[280,7908,7909,7912],{"style":2297},[280,7910],{"className":7911,"style":377},[376],[280,7913,7915],{"className":7914},[381,382,383,384],[280,7916,234],{"className":7917},[346,350,384],[280,7919,396],{"className":7920},[395],[280,7922,7924],{"className":7923},[364],[280,7925,7927],{"className":7926,"style":1119},[368],[280,7928],{},[280,7930],{"className":7931,"style":576},[409],[280,7933,2696],{"className":7934},[580],[280,7936],{"className":7937,"style":576},[409],[280,7939,7941,7944,7947,7950,7990],{"className":7940},[337],[280,7942],{"className":7943,"style":6169},[341],[280,7945,316],{"className":7946},[346],[280,7948,667],{"className":7949,"style":690},[346,350],[280,7951,7953,7956],{"className":7952},[346],[280,7954,1849],{"className":7955,"style":1997},[346,350],[280,7957,7959],{"className":7958},[355],[280,7960,7962,7982],{"className":7961},[359,360],[280,7963,7965,7979],{"className":7964},[364],[280,7966,7968],{"className":7967,"style":1097},[368],[280,7969,7970,7973],{"style":2360},[280,7971],{"className":7972,"style":377},[376],[280,7974,7976],{"className":7975},[381,382,383,384],[280,7977,234],{"className":7978},[346,350,384],[280,7980,396],{"className":7981},[395],[280,7983,7985],{"className":7984},[364],[280,7986,7988],{"className":7987,"style":1119},[368],[280,7989],{},[280,7991,7993,7996,8058],{"className":7992},[346],[280,7994],{"className":7995},[1906,2387],[280,7997,7999],{"className":7998},[2246],[280,8000,8002,8050],{"className":8001},[359,360],[280,8003,8005,8047],{"className":8004},[364],[280,8006,8008,8022,8030],{"className":8007,"style":6191},[368],[280,8009,8010,8013],{"style":4331},[280,8011],{"className":8012,"style":2407},[376],[280,8014,8016,8019],{"className":8015},[346],[280,8017,2252],{"className":8018},[346,350],[280,8020,1833],{"className":8021},[346,350],[280,8023,8024,8027],{"style":2422},[280,8025],{"className":8026,"style":2407},[376],[280,8028],{"className":8029,"style":2430},[2429],[280,8031,8032,8035],{"style":4351},[280,8033],{"className":8034,"style":2407},[376],[280,8036,8038,8041,8044],{"className":8037},[346],[280,8039,2252],{"className":8040},[346,350],[280,8042,1051],{"className":8043},[346],[280,8045,234],{"className":8046},[346,350],[280,8048,396],{"className":8049},[395],[280,8051,8053],{"className":8052},[364],[280,8054,8056],{"className":8055,"style":5519},[368],[280,8057],{},[280,8059],{"className":8060},[1950,2387],[3263,8062,8063],{"id":8063},"推导扩散方程",[234,8065,8066,8067,8136,8137,8438],{},"将这个简化的 ",[280,8068,8070,8087],{"className":8069},[283],[280,8071,8073],{"className":8072},[287],[289,8074,8075],{"xmlns":291},[293,8076,8077,8085],{},[296,8078,8079],{},[299,8080,8081,8083],{},[302,8082,2029],{},[302,8084,234],{},[325,8086,6632],{"encoding":327},[280,8088,8090],{"className":8089,"ariaHidden":333},[332],[280,8091,8093,8096],{"className":8092},[337],[280,8094],{"className":8095,"style":1075},[341],[280,8097,8099,8102],{"className":8098},[346],[280,8100,2029],{"className":8101,"style":2044},[346,350],[280,8103,8105],{"className":8104},[355],[280,8106,8108,8128],{"className":8107},[359,360],[280,8109,8111,8125],{"className":8110},[364],[280,8112,8114],{"className":8113,"style":1097},[368],[280,8115,8116,8119],{"style":2297},[280,8117],{"className":8118,"style":377},[376],[280,8120,8122],{"className":8121},[381,382,383,384],[280,8123,234],{"className":8124},[346,350,384],[280,8126,396],{"className":8127},[395],[280,8129,8131],{"className":8130},[364],[280,8132,8134],{"className":8133,"style":1119},[368],[280,8135],{}," 代入连续性方程 ",[280,8138,8140,8189],{"className":8139},[283],[280,8141,8143],{"className":8142},[287],[289,8144,8145],{"xmlns":291},[293,8146,8147,8187],{},[296,8148,8149,8151,8169,8171,8173],{},[314,8150,316],{},[2246,8152,8153,8163],{},[296,8154,8155,8157],{},[302,8156,2252],{},[299,8158,8159,8161],{},[302,8160,2029],{},[302,8162,234],{},[296,8164,8165,8167],{},[302,8166,2252],{},[302,8168,1833],{},[314,8170,2696],{},[302,8172,667],{},[2246,8174,8175,8181],{},[296,8176,8177,8179],{},[302,8178,1051],{"mathvariant":1050},[302,8180,234],{},[299,8182,8183,8185],{},[302,8184,3874],{},[302,8186,234],{},[325,8188,6159],{"encoding":327},[280,8190,8192,8321],{"className":8191,"ariaHidden":333},[332],[280,8193,8195,8198,8201,8312,8315,8318],{"className":8194},[337],[280,8196],{"className":8197,"style":6449},[341],[280,8199,316],{"className":8200},[346],[280,8202,8204,8207,8309],{"className":8203},[346],[280,8205],{"className":8206},[1906,2387],[280,8208,8210],{"className":8209},[2246],[280,8211,8213,8301],{"className":8212},[359,360],[280,8214,8216,8298],{"className":8215},[364],[280,8217,8219,8236,8244],{"className":8218,"style":6471},[368],[280,8220,8221,8224],{"style":2403},[280,8222],{"className":8223,"style":2407},[376],[280,8225,8227],{"className":8226},[381,382,383,384],[280,8228,8230,8233],{"className":8229},[346,384],[280,8231,2252],{"className":8232},[346,350,384],[280,8234,1833],{"className":8235},[346,350,384],[280,8237,8238,8241],{"style":2422},[280,8239],{"className":8240,"style":2407},[376],[280,8242],{"className":8243,"style":2430},[2429],[280,8245,8246,8249],{"style":3574},[280,8247],{"className":8248,"style":2407},[376],[280,8250,8252],{"className":8251},[381,382,383,384],[280,8253,8255,8258],{"className":8254},[346,384],[280,8256,2252],{"className":8257},[346,350,384],[280,8259,8261,8264],{"className":8260},[346,384],[280,8262,2029],{"className":8263,"style":2044},[346,350,384],[280,8265,8267],{"className":8266},[355],[280,8268,8270,8290],{"className":8269},[359,360],[280,8271,8273,8287],{"className":8272},[364],[280,8274,8276],{"className":8275,"style":2464},[368],[280,8277,8278,8281],{"style":3610},[280,8279],{"className":8280,"style":2471},[376],[280,8282,8284],{"className":8283},[381,2475,2476,384],[280,8285,234],{"className":8286},[346,350,384],[280,8288,396],{"className":8289},[395],[280,8291,8293],{"className":8292},[364],[280,8294,8296],{"className":8295,"style":3629},[368],[280,8297],{},[280,8299,396],{"className":8300},[395],[280,8302,8304],{"className":8303},[364],[280,8305,8307],{"className":8306,"style":2501},[368],[280,8308],{},[280,8310],{"className":8311},[1950,2387],[280,8313],{"className":8314,"style":576},[409],[280,8316,2696],{"className":8317},[580],[280,8319],{"className":8320,"style":576},[409],[280,8322,8324,8327,8330],{"className":8323},[337],[280,8325],{"className":8326,"style":3889},[341],[280,8328,667],{"className":8329,"style":690},[346,350],[280,8331,8333,8336,8435],{"className":8332},[346],[280,8334],{"className":8335},[1906,2387],[280,8337,8339],{"className":8338},[2246],[280,8340,8342,8427],{"className":8341},[359,360],[280,8343,8345,8424],{"className":8344},[364],[280,8346,8348,8399,8407],{"className":8347,"style":3908},[368],[280,8349,8350,8353],{"style":2403},[280,8351],{"className":8352,"style":2407},[376],[280,8354,8356],{"className":8355},[381,382,383,384],[280,8357,8359],{"className":8358},[346,384],[280,8360,8362,8365],{"className":8361},[346,384],[280,8363,3874],{"className":8364,"style":3926},[346,350,384],[280,8366,8368],{"className":8367},[355],[280,8369,8371,8391],{"className":8370},[359,360],[280,8372,8374,8388],{"className":8373},[364],[280,8375,8377],{"className":8376,"style":2464},[368],[280,8378,8379,8382],{"style":3941},[280,8380],{"className":8381,"style":2471},[376],[280,8383,8385],{"className":8384},[381,2475,2476,384],[280,8386,234],{"className":8387},[346,350,384],[280,8389,396],{"className":8390},[395],[280,8392,8394],{"className":8393},[364],[280,8395,8397],{"className":8396,"style":3629},[368],[280,8398],{},[280,8400,8401,8404],{"style":2422},[280,8402],{"className":8403,"style":2407},[376],[280,8405],{"className":8406,"style":2430},[2429],[280,8408,8409,8412],{"style":2433},[280,8410],{"className":8411,"style":2407},[376],[280,8413,8415],{"className":8414},[381,382,383,384],[280,8416,8418,8421],{"className":8417},[346,384],[280,8419,1051],{"className":8420},[346,384],[280,8422,234],{"className":8423},[346,350,384],[280,8425,396],{"className":8426},[395],[280,8428,8430],{"className":8429},[364],[280,8431,8433],{"className":8432,"style":3996},[368],[280,8434],{},[280,8436],{"className":8437},[1950,2387]," ：",[280,8440,8442],{"className":8441},[4205],[280,8443,8445,8519],{"className":8444},[283],[280,8446,8448],{"className":8447},[287],[289,8449,8450],{"xmlns":291,"display":4214},[293,8451,8452,8516],{},[296,8453,8454,8456,8466,8498,8500,8502],{},[314,8455,316],{},[2246,8457,8458,8460],{},[302,8459,2252],{},[296,8461,8462,8464],{},[302,8463,2252],{},[302,8465,1833],{},[296,8467,8468,8470,8472,8474,8480,8496],{},[314,8469,1828],{"fence":333},[314,8471,316],{},[302,8473,667],{},[299,8475,8476,8478],{},[302,8477,1849],{},[302,8479,234],{},[2246,8481,8482,8490],{},[296,8483,8484,8486,8488],{},[302,8485,2252],{},[302,8487,1051],{"mathvariant":1050},[302,8489,234],{},[296,8491,8492,8494],{},[302,8493,2252],{},[302,8495,1833],{},[314,8497,1838],{"fence":333},[314,8499,2696],{},[302,8501,667],{},[2246,8503,8504,8510],{},[296,8505,8506,8508],{},[302,8507,1051],{"mathvariant":1050},[302,8509,234],{},[299,8511,8512,8514],{},[302,8513,3874],{},[302,8515,234],{},[325,8517,8518],{"encoding":327},"-\\frac{d}{dx}\\left(-qD_p \\frac{d\\Delta p}{dx}\\right) = q \\frac{\\Delta p}{\\tau_p}",[280,8520,8522,8746],{"className":8521,"ariaHidden":333},[332],[280,8523,8525,8529,8532,8597,8601,8737,8740,8743],{"className":8524},[337],[280,8526],{"className":8527,"style":8528},[341],"height:2.4em;vertical-align:-0.95em;",[280,8530,316],{"className":8531},[346],[280,8533,8535,8538,8594],{"className":8534},[346],[280,8536],{"className":8537},[1906,2387],[280,8539,8541],{"className":8540},[2246],[280,8542,8544,8586],{"className":8543},[359,360],[280,8545,8547,8583],{"className":8546},[364],[280,8548,8550,8564,8572],{"className":8549,"style":6191},[368],[280,8551,8552,8555],{"style":4331},[280,8553],{"className":8554,"style":2407},[376],[280,8556,8558,8561],{"className":8557},[346],[280,8559,2252],{"className":8560},[346,350],[280,8562,1833],{"className":8563},[346,350],[280,8565,8566,8569],{"style":2422},[280,8567],{"className":8568,"style":2407},[376],[280,8570],{"className":8571,"style":2430},[2429],[280,8573,8574,8577],{"style":4351},[280,8575],{"className":8576,"style":2407},[376],[280,8578,8580],{"className":8579},[346],[280,8581,2252],{"className":8582},[346,350],[280,8584,396],{"className":8585},[395],[280,8587,8589],{"className":8588},[364],[280,8590,8592],{"className":8591,"style":5519},[368],[280,8593],{},[280,8595],{"className":8596},[1950,2387],[280,8598],{"className":8599,"style":8600},[409],"margin-right:0.1667em;",[280,8602,8605,8614,8617,8620,8660,8731],{"className":8603},[8604],"minner",[280,8606,8610],{"className":8607,"style":8609},[1906,8608],"delimcenter","top:0em;",[280,8611,1828],{"className":8612},[8613,383],"delimsizing",[280,8615,316],{"className":8616},[346],[280,8618,667],{"className":8619,"style":690},[346,350],[280,8621,8623,8626],{"className":8622},[346],[280,8624,1849],{"className":8625,"style":1997},[346,350],[280,8627,8629],{"className":8628},[355],[280,8630,8632,8652],{"className":8631},[359,360],[280,8633,8635,8649],{"className":8634},[364],[280,8636,8638],{"className":8637,"style":1097},[368],[280,8639,8640,8643],{"style":2360},[280,8641],{"className":8642,"style":377},[376],[280,8644,8646],{"className":8645},[381,382,383,384],[280,8647,234],{"className":8648},[346,350,384],[280,8650,396],{"className":8651},[395],[280,8653,8655],{"className":8654},[364],[280,8656,8658],{"className":8657,"style":1119},[368],[280,8659],{},[280,8661,8663,8666,8728],{"className":8662},[346],[280,8664],{"className":8665},[1906,2387],[280,8667,8669],{"className":8668},[2246],[280,8670,8672,8720],{"className":8671},[359,360],[280,8673,8675,8717],{"className":8674},[364],[280,8676,8678,8692,8700],{"className":8677,"style":6191},[368],[280,8679,8680,8683],{"style":4331},[280,8681],{"className":8682,"style":2407},[376],[280,8684,8686,8689],{"className":8685},[346],[280,8687,2252],{"className":8688},[346,350],[280,8690,1833],{"className":8691},[346,350],[280,8693,8694,8697],{"style":2422},[280,8695],{"className":8696,"style":2407},[376],[280,8698],{"className":8699,"style":2430},[2429],[280,8701,8702,8705],{"style":4351},[280,8703],{"className":8704,"style":2407},[376],[280,8706,8708,8711,8714],{"className":8707},[346],[280,8709,2252],{"className":8710},[346,350],[280,8712,1051],{"className":8713},[346],[280,8715,234],{"className":8716},[346,350],[280,8718,396],{"className":8719},[395],[280,8721,8723],{"className":8722},[364],[280,8724,8726],{"className":8725,"style":5519},[368],[280,8727],{},[280,8729],{"className":8730},[1950,2387],[280,8732,8734],{"className":8733,"style":8609},[1950,8608],[280,8735,1838],{"className":8736},[8613,383],[280,8738],{"className":8739,"style":576},[409],[280,8741,2696],{"className":8742},[580],[280,8744],{"className":8745,"style":576},[409],[280,8747,8749,8752,8755],{"className":8748},[337],[280,8750],{"className":8751,"style":4638},[341],[280,8753,667],{"className":8754,"style":690},[346,350],[280,8756,8758,8761,8854],{"className":8757},[346],[280,8759],{"className":8760},[1906,2387],[280,8762,8764],{"className":8763},[2246],[280,8765,8767,8846],{"className":8766},[359,360],[280,8768,8770,8843],{"className":8769},[364],[280,8771,8773,8821,8829],{"className":8772,"style":4657},[368],[280,8774,8775,8778],{"style":4331},[280,8776],{"className":8777,"style":2407},[376],[280,8779,8781],{"className":8780},[346],[280,8782,8784,8787],{"className":8783},[346],[280,8785,3874],{"className":8786,"style":3926},[346,350],[280,8788,8790],{"className":8789},[355],[280,8791,8793,8813],{"className":8792},[359,360],[280,8794,8796,8810],{"className":8795},[364],[280,8797,8799],{"className":8798,"style":1097},[368],[280,8800,8801,8804],{"style":4686},[280,8802],{"className":8803,"style":377},[376],[280,8805,8807],{"className":8806},[381,382,383,384],[280,8808,234],{"className":8809},[346,350,384],[280,8811,396],{"className":8812},[395],[280,8814,8816],{"className":8815},[364],[280,8817,8819],{"className":8818,"style":1119},[368],[280,8820],{},[280,8822,8823,8826],{"style":2422},[280,8824],{"className":8825,"style":2407},[376],[280,8827],{"className":8828,"style":2430},[2429],[280,8830,8831,8834],{"style":4351},[280,8832],{"className":8833,"style":2407},[376],[280,8835,8837,8840],{"className":8836},[346],[280,8838,1051],{"className":8839},[346],[280,8841,234],{"className":8842},[346,350],[280,8844,396],{"className":8845},[395],[280,8847,8849],{"className":8848},[364],[280,8850,8852],{"className":8851,"style":4738},[368],[280,8853],{},[280,8855],{"className":8856},[1950,2387],[234,8858,8859],{},"化简得到：",[280,8861,8863],{"className":8862},[4205],[280,8864,8866,8927],{"className":8865},[283],[280,8867,8869],{"className":8868},[287],[289,8870,8871],{"xmlns":291,"display":4214},[293,8872,8873,8924],{},[296,8874,8875,8900,8902],{},[2246,8876,8877,8890],{},[296,8878,8879,8886,8888],{},[8880,8881,8882,8884],"msup",{},[302,8883,2252],{},[958,8885,2630],{},[302,8887,1051],{"mathvariant":1050},[302,8889,234],{},[296,8891,8892,8894],{},[302,8893,2252],{},[8880,8895,8896,8898],{},[302,8897,1833],{},[958,8899,2630],{},[314,8901,2696],{},[2246,8903,8904,8910],{},[296,8905,8906,8908],{},[302,8907,1051],{"mathvariant":1050},[302,8909,234],{},[296,8911,8912,8918],{},[299,8913,8914,8916],{},[302,8915,1849],{},[302,8917,234],{},[299,8919,8920,8922],{},[302,8921,3874],{},[302,8923,234],{},[325,8925,8926],{"encoding":327},"\\frac{d^2\\Delta p}{dx^2} = \\frac{\\Delta p}{D_p \\tau_p}",[280,8928,8930,9072],{"className":8929,"ariaHidden":333},[332],[280,8931,8933,8937,9063,9066,9069],{"className":8932},[337],[280,8934],{"className":8935,"style":8936},[341],"height:2.1771em;vertical-align:-0.686em;",[280,8938,8940,8943,9060],{"className":8939},[346],[280,8941],{"className":8942},[1906,2387],[280,8944,8946],{"className":8945},[2246],[280,8947,8949,9052],{"className":8948},[359,360],[280,8950,8952,9049],{"className":8951},[364],[280,8953,8956,8998,9006],{"className":8954,"style":8955},[368],"height:1.4911em;",[280,8957,8958,8961],{"style":4331},[280,8959],{"className":8960,"style":2407},[376],[280,8962,8964,8967],{"className":8963},[346],[280,8965,2252],{"className":8966},[346,350],[280,8968,8970,8973],{"className":8969},[346],[280,8971,1833],{"className":8972},[346,350],[280,8974,8976],{"className":8975},[355],[280,8977,8979],{"className":8978},[359],[280,8980,8982],{"className":8981},[364],[280,8983,8986],{"className":8984,"style":8985},[368],"height:0.7401em;",[280,8987,8989,8992],{"style":8988},"top:-2.989em;margin-right:0.05em;",[280,8990],{"className":8991,"style":377},[376],[280,8993,8995],{"className":8994},[381,382,383,384],[280,8996,2630],{"className":8997},[346,384],[280,8999,9000,9003],{"style":2422},[280,9001],{"className":9002,"style":2407},[376],[280,9004],{"className":9005,"style":2430},[2429],[280,9007,9008,9011],{"style":4351},[280,9009],{"className":9010,"style":2407},[376],[280,9012,9014,9043,9046],{"className":9013},[346],[280,9015,9017,9020],{"className":9016},[346],[280,9018,2252],{"className":9019},[346,350],[280,9021,9023],{"className":9022},[355],[280,9024,9026],{"className":9025},[359],[280,9027,9029],{"className":9028},[364],[280,9030,9032],{"className":9031,"style":2725},[368],[280,9033,9034,9037],{"style":2740},[280,9035],{"className":9036,"style":377},[376],[280,9038,9040],{"className":9039},[381,382,383,384],[280,9041,2630],{"className":9042},[346,384],[280,9044,1051],{"className":9045},[346],[280,9047,234],{"className":9048},[346,350],[280,9050,396],{"className":9051},[395],[280,9053,9055],{"className":9054},[364],[280,9056,9058],{"className":9057,"style":5519},[368],[280,9059],{},[280,9061],{"className":9062},[1950,2387],[280,9064],{"className":9065,"style":576},[409],[280,9067,2696],{"className":9068},[580],[280,9070],{"className":9071,"style":576},[409],[280,9073,9075,9078],{"className":9074},[337],[280,9076],{"className":9077,"style":4638},[341],[280,9079,9081,9084,9217],{"className":9080},[346],[280,9082],{"className":9083},[1906,2387],[280,9085,9087],{"className":9086},[2246],[280,9088,9090,9209],{"className":9089},[359,360],[280,9091,9093,9206],{"className":9092},[364],[280,9094,9096,9184,9192],{"className":9095,"style":4657},[368],[280,9097,9098,9101],{"style":4331},[280,9099],{"className":9100,"style":2407},[376],[280,9102,9104,9144],{"className":9103},[346],[280,9105,9107,9110],{"className":9106},[346],[280,9108,1849],{"className":9109,"style":1997},[346,350],[280,9111,9113],{"className":9112},[355],[280,9114,9116,9136],{"className":9115},[359,360],[280,9117,9119,9133],{"className":9118},[364],[280,9120,9122],{"className":9121,"style":1097},[368],[280,9123,9124,9127],{"style":2360},[280,9125],{"className":9126,"style":377},[376],[280,9128,9130],{"className":9129},[381,382,383,384],[280,9131,234],{"className":9132},[346,350,384],[280,9134,396],{"className":9135},[395],[280,9137,9139],{"className":9138},[364],[280,9140,9142],{"className":9141,"style":1119},[368],[280,9143],{},[280,9145,9147,9150],{"className":9146},[346],[280,9148,3874],{"className":9149,"style":3926},[346,350],[280,9151,9153],{"className":9152},[355],[280,9154,9156,9176],{"className":9155},[359,360],[280,9157,9159,9173],{"className":9158},[364],[280,9160,9162],{"className":9161,"style":1097},[368],[280,9163,9164,9167],{"style":4686},[280,9165],{"className":9166,"style":377},[376],[280,9168,9170],{"className":9169},[381,382,383,384],[280,9171,234],{"className":9172},[346,350,384],[280,9174,396],{"className":9175},[395],[280,9177,9179],{"className":9178},[364],[280,9180,9182],{"className":9181,"style":1119},[368],[280,9183],{},[280,9185,9186,9189],{"style":2422},[280,9187],{"className":9188,"style":2407},[376],[280,9190],{"className":9191,"style":2430},[2429],[280,9193,9194,9197],{"style":4351},[280,9195],{"className":9196,"style":2407},[376],[280,9198,9200,9203],{"className":9199},[346],[280,9201,1051],{"className":9202},[346],[280,9204,234],{"className":9205},[346,350],[280,9207,396],{"className":9208},[395],[280,9210,9212],{"className":9211},[364],[280,9213,9215],{"className":9214,"style":4738},[368],[280,9216],{},[280,9218],{"className":9219},[1950,2387],[3263,9221,9223],{"id":9222},"定义扩散长度-diffusion-length","定义扩散长度 (Diffusion Length)",[234,9225,9226,652,9229,9300],{},[636,9227,9228],{},"我们定义一个具有长度量纲的常数",[280,9230,9232,9251],{"className":9231},[283],[280,9233,9235],{"className":9234},[287],[289,9236,9237],{"xmlns":291},[293,9238,9239,9248],{},[296,9240,9241],{},[299,9242,9243,9246],{},[302,9244,9245],{},"L",[302,9247,234],{},[325,9249,9250],{"encoding":327},"L_p",[280,9252,9254],{"className":9253,"ariaHidden":333},[332],[280,9255,9257,9260],{"className":9256},[337],[280,9258],{"className":9259,"style":1075},[341],[280,9261,9263,9266],{"className":9262},[346],[280,9264,9245],{"className":9265},[346,350],[280,9267,9269],{"className":9268},[355],[280,9270,9272,9292],{"className":9271},[359,360],[280,9273,9275,9289],{"className":9274},[364],[280,9276,9278],{"className":9277,"style":1097},[368],[280,9279,9280,9283],{"style":1100},[280,9281],{"className":9282,"style":377},[376],[280,9284,9286],{"className":9285},[381,382,383,384],[280,9287,234],{"className":9288},[346,350,384],[280,9290,396],{"className":9291},[395],[280,9293,9295],{"className":9294},[364],[280,9296,9298],{"className":9297,"style":1119},[368],[280,9299],{},[636,9301,9302],{},"，称为空穴扩散长度 (Diffusion Length)：",[280,9304,9306],{"className":9305},[4205],[280,9307,9309,9347],{"className":9308},[283],[280,9310,9312],{"className":9311},[287],[289,9313,9314],{"xmlns":291,"display":4214},[293,9315,9316,9344],{},[296,9317,9318,9324,9327],{},[299,9319,9320,9322],{},[302,9321,9245],{},[302,9323,234],{},[314,9325,9326],{},"≡",[9328,9329,9330],"msqrt",{},[296,9331,9332,9338],{},[299,9333,9334,9336],{},[302,9335,1849],{},[302,9337,234],{},[299,9339,9340,9342],{},[302,9341,3874],{},[302,9343,234],{},[325,9345,9346],{"encoding":327},"L_p \\equiv \\sqrt{D_p \\tau_p}",[280,9348,9350,9405],{"className":9349,"ariaHidden":333},[332],[280,9351,9353,9356,9396,9399,9402],{"className":9352},[337],[280,9354],{"className":9355,"style":1075},[341],[280,9357,9359,9362],{"className":9358},[346],[280,9360,9245],{"className":9361},[346,350],[280,9363,9365],{"className":9364},[355],[280,9366,9368,9388],{"className":9367},[359,360],[280,9369,9371,9385],{"className":9370},[364],[280,9372,9374],{"className":9373,"style":1097},[368],[280,9375,9376,9379],{"style":1100},[280,9377],{"className":9378,"style":377},[376],[280,9380,9382],{"className":9381},[381,382,383,384],[280,9383,234],{"className":9384},[346,350,384],[280,9386,396],{"className":9387},[395],[280,9389,9391],{"className":9390},[364],[280,9392,9394],{"className":9393,"style":1119},[368],[280,9395],{},[280,9397],{"className":9398,"style":576},[409],[280,9400,9326],{"className":9401},[580],[280,9403],{"className":9404,"style":576},[409],[280,9406,9408,9412],{"className":9407},[337],[280,9409],{"className":9410,"style":9411},[341],"height:1.24em;vertical-align:-0.3075em;",[280,9413,9416],{"className":9414},[346,9415],"sqrt",[280,9417,9419,9545],{"className":9418},[359,360],[280,9420,9422,9542],{"className":9421},[364],[280,9423,9426,9519],{"className":9424,"style":9425},[368],"height:0.9325em;",[280,9427,9431,9435],{"className":9428,"style":9430},[9429],"svg-align","top:-3.2em;",[280,9432],{"className":9433,"style":9434},[376],"height:3.2em;",[280,9436,9439,9479],{"className":9437,"style":9438},[346],"padding-left:1em;",[280,9440,9442,9445],{"className":9441},[346],[280,9443,1849],{"className":9444,"style":1997},[346,350],[280,9446,9448],{"className":9447},[355],[280,9449,9451,9471],{"className":9450},[359,360],[280,9452,9454,9468],{"className":9453},[364],[280,9455,9457],{"className":9456,"style":1097},[368],[280,9458,9459,9462],{"style":2360},[280,9460],{"className":9461,"style":377},[376],[280,9463,9465],{"className":9464},[381,382,383,384],[280,9466,234],{"className":9467},[346,350,384],[280,9469,396],{"className":9470},[395],[280,9472,9474],{"className":9473},[364],[280,9475,9477],{"className":9476,"style":1119},[368],[280,9478],{},[280,9480,9482,9485],{"className":9481},[346],[280,9483,3874],{"className":9484,"style":3926},[346,350],[280,9486,9488],{"className":9487},[355],[280,9489,9491,9511],{"className":9490},[359,360],[280,9492,9494,9508],{"className":9493},[364],[280,9495,9497],{"className":9496,"style":1097},[368],[280,9498,9499,9502],{"style":4686},[280,9500],{"className":9501,"style":377},[376],[280,9503,9505],{"className":9504},[381,382,383,384],[280,9506,234],{"className":9507},[346,350,384],[280,9509,396],{"className":9510},[395],[280,9512,9514],{"className":9513},[364],[280,9515,9517],{"className":9516,"style":1119},[368],[280,9518],{},[280,9520,9522,9525],{"style":9521},"top:-2.8925em;",[280,9523],{"className":9524,"style":9434},[376],[280,9526,9530],{"className":9527,"style":9529},[9528],"hide-tail","min-width:1.02em;height:1.28em;",[9531,9532,9538],"svg",{"xmlns":9533,"width":9534,"height":9535,"viewBox":9536,"preserveAspectRatio":9537},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","400em","1.28em","0 0 400000 1296","xMinYMin slice",[9539,9540],"path",{"d":9541},"M263,681c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl0 -0\nc4.7,-7.3,11,-11,19,-11\nH40000v40H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM1001 80h400000v40h-400000z",[280,9543,396],{"className":9544},[395],[280,9546,9548],{"className":9547},[364],[280,9549,9552],{"className":9550,"style":9551},[368],"height:0.3075em;",[280,9553],{},[231,9555,9556],{},[234,9557,9558,652,9563,652,9632],{},[636,9559,9560],{},[485,9561,9562],{},"物理意义：",[280,9564,9566,9583],{"className":9565},[283],[280,9567,9569],{"className":9568},[287],[289,9570,9571],{"xmlns":291},[293,9572,9573,9581],{},[296,9574,9575],{},[299,9576,9577,9579],{},[302,9578,9245],{},[302,9580,234],{},[325,9582,9250],{"encoding":327},[280,9584,9586],{"className":9585,"ariaHidden":333},[332],[280,9587,9589,9592],{"className":9588},[337],[280,9590],{"className":9591,"style":1075},[341],[280,9593,9595,9598],{"className":9594},[346],[280,9596,9245],{"className":9597},[346,350],[280,9599,9601],{"className":9600},[355],[280,9602,9604,9624],{"className":9603},[359,360],[280,9605,9607,9621],{"className":9606},[364],[280,9608,9610],{"className":9609,"style":1097},[368],[280,9611,9612,9615],{"style":1100},[280,9613],{"className":9614,"style":377},[376],[280,9616,9618],{"className":9617},[381,382,383,384],[280,9619,234],{"className":9620},[346,350,384],[280,9622,396],{"className":9623},[395],[280,9625,9627],{"className":9626},[364],[280,9628,9630],{"className":9629,"style":1119},[368],[280,9631],{},[636,9633,9634],{},"是少数载流子（空穴）在复合前平均可以扩散的距离。",[3263,9636,9637],{"id":9637},"最终方程",[234,9639,9640,9641,9710],{},"将 ",[280,9642,9644,9661],{"className":9643},[283],[280,9645,9647],{"className":9646},[287],[289,9648,9649],{"xmlns":291},[293,9650,9651,9659],{},[296,9652,9653],{},[299,9654,9655,9657],{},[302,9656,9245],{},[302,9658,234],{},[325,9660,9250],{"encoding":327},[280,9662,9664],{"className":9663,"ariaHidden":333},[332],[280,9665,9667,9670],{"className":9666},[337],[280,9668],{"className":9669,"style":1075},[341],[280,9671,9673,9676],{"className":9672},[346],[280,9674,9245],{"className":9675},[346,350],[280,9677,9679],{"className":9678},[355],[280,9680,9682,9702],{"className":9681},[359,360],[280,9683,9685,9699],{"className":9684},[364],[280,9686,9688],{"className":9687,"style":1097},[368],[280,9689,9690,9693],{"style":1100},[280,9691],{"className":9692,"style":377},[376],[280,9694,9696],{"className":9695},[381,382,383,384],[280,9697,234],{"className":9698},[346,350,384],[280,9700,396],{"className":9701},[395],[280,9703,9705],{"className":9704},[364],[280,9706,9708],{"className":9707,"style":1119},[368],[280,9709],{}," 代入，我们就得到了用于描述稳态、低注入、无光照下少数载流子分布的核心方程：",[479,9712,9713,9716,10057,10060],{},[482,9714,9715],{},"N区的空穴：",[482,9717,9718],{},[280,9719,9721,9775],{"className":9720},[283],[280,9722,9724],{"className":9723},[287],[289,9725,9726],{"xmlns":291},[293,9727,9728,9772],{},[296,9729,9730,9754,9756],{},[2246,9731,9732,9744],{},[296,9733,9734,9740,9742],{},[8880,9735,9736,9738],{},[302,9737,2252],{},[958,9739,2630],{},[302,9741,1051],{"mathvariant":1050},[302,9743,234],{},[296,9745,9746,9748],{},[302,9747,2252],{},[8880,9749,9750,9752],{},[302,9751,1833],{},[958,9753,2630],{},[314,9755,2696],{},[2246,9757,9758,9764],{},[296,9759,9760,9762],{},[302,9761,1051],{"mathvariant":1050},[302,9763,234],{},[2622,9765,9766,9768,9770],{},[302,9767,9245],{},[302,9769,234],{},[958,9771,2630],{},[325,9773,9774],{"encoding":327},"\\frac{d^2\\Delta p}{dx^2} = \\frac{\\Delta p}{L_p^2}",[280,9776,9778,9928],{"className":9777,"ariaHidden":333},[332],[280,9779,9781,9785,9919,9922,9925],{"className":9780},[337],[280,9782],{"className":9783,"style":9784},[341],"height:1.415em;vertical-align:-0.345em;",[280,9786,9788,9791,9916],{"className":9787},[346],[280,9789],{"className":9790},[1906,2387],[280,9792,9794],{"className":9793},[2246],[280,9795,9797,9908],{"className":9796},[359,360],[280,9798,9800,9905],{"className":9799},[364],[280,9801,9804,9849,9857],{"className":9802,"style":9803},[368],"height:1.07em;",[280,9805,9806,9809],{"style":2403},[280,9807],{"className":9808,"style":2407},[376],[280,9810,9812],{"className":9811},[381,382,383,384],[280,9813,9815,9818],{"className":9814},[346,384],[280,9816,2252],{"className":9817},[346,350,384],[280,9819,9821,9824],{"className":9820},[346,384],[280,9822,1833],{"className":9823},[346,350,384],[280,9825,9827],{"className":9826},[355],[280,9828,9830],{"className":9829},[359],[280,9831,9833],{"className":9832},[364],[280,9834,9837],{"className":9835,"style":9836},[368],"height:0.7463em;",[280,9838,9840,9843],{"style":9839},"top:-2.786em;margin-right:0.0714em;",[280,9841],{"className":9842,"style":2471},[376],[280,9844,9846],{"className":9845},[381,2475,2476,384],[280,9847,2630],{"className":9848},[346,384],[280,9850,9851,9854],{"style":2422},[280,9852],{"className":9853,"style":2407},[376],[280,9855],{"className":9856,"style":2430},[2429],[280,9858,9859,9862],{"style":2433},[280,9860],{"className":9861,"style":2407},[376],[280,9863,9865],{"className":9864},[381,382,383,384],[280,9866,9868,9899,9902],{"className":9867},[346,384],[280,9869,9871,9874],{"className":9870},[346,384],[280,9872,2252],{"className":9873},[346,350,384],[280,9875,9877],{"className":9876},[355],[280,9878,9880],{"className":9879},[359],[280,9881,9883],{"className":9882},[364],[280,9884,9887],{"className":9885,"style":9886},[368],"height:0.8913em;",[280,9888,9890,9893],{"style":9889},"top:-2.931em;margin-right:0.0714em;",[280,9891],{"className":9892,"style":2471},[376],[280,9894,9896],{"className":9895},[381,2475,2476,384],[280,9897,2630],{"className":9898},[346,384],[280,9900,1051],{"className":9901},[346,384],[280,9903,234],{"className":9904},[346,350,384],[280,9906,396],{"className":9907},[395],[280,9909,9911],{"className":9910},[364],[280,9912,9914],{"className":9913,"style":2501},[368],[280,9915],{},[280,9917],{"className":9918},[1950,2387],[280,9920],{"className":9921,"style":576},[409],[280,9923,2696],{"className":9924},[580],[280,9926],{"className":9927,"style":576},[409],[280,9929,9931,9935],{"className":9930},[337],[280,9932],{"className":9933,"style":9934},[341],"height:1.5669em;vertical-align:-0.6424em;",[280,9936,9938,9941,10054],{"className":9937},[346],[280,9939],{"className":9940},[1906,2387],[280,9942,9944],{"className":9943},[2246],[280,9945,9947,10045],{"className":9946},[359,360],[280,9948,9950,10042],{"className":9949},[364],[280,9951,9953,10017,10025],{"className":9952,"style":3908},[368],[280,9954,9955,9958],{"style":2403},[280,9956],{"className":9957,"style":2407},[376],[280,9959,9961],{"className":9960},[381,382,383,384],[280,9962,9964],{"className":9963},[346,384],[280,9965,9967,9970],{"className":9966},[346,384],[280,9968,9245],{"className":9969},[346,350,384],[280,9971,9973],{"className":9972},[355],[280,9974,9976,10008],{"className":9975},[359,360],[280,9977,9979,10005],{"className":9978},[364],[280,9980,9982,9994],{"className":9981,"style":9836},[368],[280,9983,9985,9988],{"style":9984},"top:-2.214em;margin-left:0em;margin-right:0.0714em;",[280,9986],{"className":9987,"style":2471},[376],[280,9989,9991],{"className":9990},[381,2475,2476,384],[280,9992,234],{"className":9993},[346,350,384],[280,9995,9996,9999],{"style":9839},[280,9997],{"className":9998,"style":2471},[376],[280,10000,10002],{"className":10001},[381,2475,2476,384],[280,10003,2630],{"className":10004},[346,384],[280,10006,396],{"className":10007},[395],[280,10009,10011],{"className":10010},[364],[280,10012,10015],{"className":10013,"style":10014},[368],"height:0.4249em;",[280,10016],{},[280,10018,10019,10022],{"style":2422},[280,10020],{"className":10021,"style":2407},[376],[280,10023],{"className":10024,"style":2430},[2429],[280,10026,10027,10030],{"style":2433},[280,10028],{"className":10029,"style":2407},[376],[280,10031,10033],{"className":10032},[381,382,383,384],[280,10034,10036,10039],{"className":10035},[346,384],[280,10037,1051],{"className":10038},[346,384],[280,10040,234],{"className":10041},[346,350,384],[280,10043,396],{"className":10044},[395],[280,10046,10048],{"className":10047},[364],[280,10049,10052],{"className":10050,"style":10051},[368],"height:0.6424em;",[280,10053],{},[280,10055],{"className":10056},[1950,2387],[482,10058,10059],{},"P区的电子：",[482,10061,10062],{},[280,10063,10065,10119],{"className":10064},[283],[280,10066,10068],{"className":10067},[287],[289,10069,10070],{"xmlns":291},[293,10071,10072,10116],{},[296,10073,10074,10098,10100],{},[2246,10075,10076,10088],{},[296,10077,10078,10084,10086],{},[8880,10079,10080,10082],{},[302,10081,2252],{},[958,10083,2630],{},[302,10085,1051],{"mathvariant":1050},[302,10087,1056],{},[296,10089,10090,10092],{},[302,10091,2252],{},[8880,10093,10094,10096],{},[302,10095,1833],{},[958,10097,2630],{},[314,10099,2696],{},[2246,10101,10102,10108],{},[296,10103,10104,10106],{},[302,10105,1051],{"mathvariant":1050},[302,10107,1056],{},[2622,10109,10110,10112,10114],{},[302,10111,9245],{},[302,10113,1056],{},[958,10115,2630],{},[325,10117,10118],{"encoding":327},"\\frac{d^2\\Delta n}{dx^2} = \\frac{\\Delta n}{L_n^2}",[280,10120,10122,10269],{"className":10121,"ariaHidden":333},[332],[280,10123,10125,10129,10260,10263,10266],{"className":10124},[337],[280,10126],{"className":10127,"style":10128},[341],"height:1.3629em;vertical-align:-0.345em;",[280,10130,10132,10135,10257],{"className":10131},[346],[280,10133],{"className":10134},[1906,2387],[280,10136,10138],{"className":10137},[2246],[280,10139,10141,10249],{"className":10140},[359,360],[280,10142,10144,10246],{"className":10143},[364],[280,10145,10148,10191,10199],{"className":10146,"style":10147},[368],"height:1.0179em;",[280,10149,10150,10153],{"style":2403},[280,10151],{"className":10152,"style":2407},[376],[280,10154,10156],{"className":10155},[381,382,383,384],[280,10157,10159,10162],{"className":10158},[346,384],[280,10160,2252],{"className":10161},[346,350,384],[280,10163,10165,10168],{"className":10164},[346,384],[280,10166,1833],{"className":10167},[346,350,384],[280,10169,10171],{"className":10170},[355],[280,10172,10174],{"className":10173},[359],[280,10175,10177],{"className":10176},[364],[280,10178,10180],{"className":10179,"style":9836},[368],[280,10181,10182,10185],{"style":9839},[280,10183],{"className":10184,"style":2471},[376],[280,10186,10188],{"className":10187},[381,2475,2476,384],[280,10189,2630],{"className":10190},[346,384],[280,10192,10193,10196],{"style":2422},[280,10194],{"className":10195,"style":2407},[376],[280,10197],{"className":10198,"style":2430},[2429],[280,10200,10202,10205],{"style":10201},"top:-3.394em;",[280,10203],{"className":10204,"style":2407},[376],[280,10206,10208],{"className":10207},[381,382,383,384],[280,10209,10211,10240,10243],{"className":10210},[346,384],[280,10212,10214,10217],{"className":10213},[346,384],[280,10215,2252],{"className":10216},[346,350,384],[280,10218,10220],{"className":10219},[355],[280,10221,10223],{"className":10222},[359],[280,10224,10226],{"className":10225},[364],[280,10227,10229],{"className":10228,"style":9886},[368],[280,10230,10231,10234],{"style":9889},[280,10232],{"className":10233,"style":2471},[376],[280,10235,10237],{"className":10236},[381,2475,2476,384],[280,10238,2630],{"className":10239},[346,384],[280,10241,1051],{"className":10242},[346,384],[280,10244,1056],{"className":10245},[346,350,384],[280,10247,396],{"className":10248},[395],[280,10250,10252],{"className":10251},[364],[280,10253,10255],{"className":10254,"style":2501},[368],[280,10256],{},[280,10258],{"className":10259},[1950,2387],[280,10261],{"className":10262,"style":576},[409],[280,10264,2696],{"className":10265},[580],[280,10267],{"className":10268,"style":576},[409],[280,10270,10272,10276],{"className":10271},[337],[280,10273],{"className":10274,"style":10275},[341],"height:1.4175em;vertical-align:-0.5452em;",[280,10277,10279,10282,10395],{"className":10278},[346],[280,10280],{"className":10281},[1906,2387],[280,10283,10285],{"className":10284},[2246],[280,10286,10288,10386],{"className":10287},[359,360],[280,10289,10291,10383],{"className":10290},[364],[280,10292,10295,10358,10366],{"className":10293,"style":10294},[368],"height:0.8723em;",[280,10296,10297,10300],{"style":2403},[280,10298],{"className":10299,"style":2407},[376],[280,10301,10303],{"className":10302},[381,382,383,384],[280,10304,10306],{"className":10305},[346,384],[280,10307,10309,10312],{"className":10308},[346,384],[280,10310,9245],{"className":10311},[346,350,384],[280,10313,10315],{"className":10314},[355],[280,10316,10318,10349],{"className":10317},[359,360],[280,10319,10321,10346],{"className":10320},[364],[280,10322,10324,10335],{"className":10323,"style":9836},[368],[280,10325,10326,10329],{"style":9984},[280,10327],{"className":10328,"style":2471},[376],[280,10330,10332],{"className":10331},[381,2475,2476,384],[280,10333,1056],{"className":10334},[346,350,384],[280,10336,10337,10340],{"style":9839},[280,10338],{"className":10339,"style":2471},[376],[280,10341,10343],{"className":10342},[381,2475,2476,384],[280,10344,2630],{"className":10345},[346,384],[280,10347,396],{"className":10348},[395],[280,10350,10352],{"className":10351},[364],[280,10353,10356],{"className":10354,"style":10355},[368],"height:0.286em;",[280,10357],{},[280,10359,10360,10363],{"style":2422},[280,10361],{"className":10362,"style":2407},[376],[280,10364],{"className":10365,"style":2430},[2429],[280,10367,10368,10371],{"style":10201},[280,10369],{"className":10370,"style":2407},[376],[280,10372,10374],{"className":10373},[381,382,383,384],[280,10375,10377,10380],{"className":10376},[346,384],[280,10378,1051],{"className":10379},[346,384],[280,10381,1056],{"className":10382},[346,350,384],[280,10384,396],{"className":10385},[395],[280,10387,10389],{"className":10388},[364],[280,10390,10393],{"className":10391,"style":10392},[368],"height:0.5452em;",[280,10394],{},[280,10396],{"className":10397},[1950,2387],[1699,10399],{},[3314,10401,10403],{"id":10402},"求解扩散方程-page-17","求解扩散方程 (Page 17)",[234,10405,10406,10407,10456,10457,10551],{},"现在我们有了方程，需要求解它来找到 ",[280,10408,10410,10432],{"className":10409},[283],[280,10411,10413],{"className":10412},[287],[289,10414,10415],{"xmlns":291},[293,10416,10417,10429],{},[296,10418,10419,10421,10423,10425,10427],{},[302,10420,1051],{"mathvariant":1050},[302,10422,234],{},[314,10424,1828],{"stretchy":1827},[302,10426,1833],{},[314,10428,1838],{"stretchy":1827},[325,10430,10431],{"encoding":327},"\\Delta p(x)",[280,10433,10435],{"className":10434,"ariaHidden":333},[332],[280,10436,10438,10441,10444,10447,10450,10453],{"className":10437},[337],[280,10439],{"className":10440,"style":1862},[341],[280,10442,1051],{"className":10443},[346],[280,10445,234],{"className":10446},[346,350],[280,10448,1828],{"className":10449},[1906],[280,10451,1833],{"className":10452},[346,350],[280,10454,1838],{"className":10455},[1950]," 的具体函数形式。这张幻灯片以N区（",[280,10458,10460,10482],{"className":10459},[283],[280,10461,10463],{"className":10462},[287],[289,10464,10465],{"xmlns":291},[293,10466,10467,10479],{},[296,10468,10469,10471,10473],{},[302,10470,1833],{},[314,10472,956],{},[299,10474,10475,10477],{},[302,10476,1833],{},[302,10478,1846],{},[325,10480,10481],{"encoding":327},"x > x_N",[280,10483,10485,10504],{"className":10484,"ariaHidden":333},[332],[280,10486,10488,10492,10495,10498,10501],{"className":10487},[337],[280,10489],{"className":10490,"style":10491},[341],"height:0.5782em;vertical-align:-0.0391em;",[280,10493,1833],{"className":10494},[346,350],[280,10496],{"className":10497,"style":576},[409],[280,10499,956],{"className":10500},[580],[280,10502],{"className":10503,"style":576},[409],[280,10505,10507,10511],{"className":10506},[337],[280,10508],{"className":10509,"style":10510},[341],"height:0.5806em;vertical-align:-0.15em;",[280,10512,10514,10517],{"className":10513},[346],[280,10515,1833],{"className":10516},[346,350],[280,10518,10520],{"className":10519},[355],[280,10521,10523,10543],{"className":10522},[359,360],[280,10524,10526,10540],{"className":10525},[364],[280,10527,10529],{"className":10528,"style":441},[368],[280,10530,10531,10534],{"style":1100},[280,10532],{"className":10533,"style":377},[376],[280,10535,10537],{"className":10536},[381,382,383,384],[280,10538,1846],{"className":10539,"style":1972},[346,350,384],[280,10541,396],{"className":10542},[395],[280,10544,10546],{"className":10545},[364],[280,10547,10549],{"className":10548,"style":403},[368],[280,10550],{},"）为例进行求解。",[3263,10553,10554],{"id":10554},"待解问题",[280,10556,10558],{"className":10557},[4205],[280,10559,10561,10614],{"className":10560},[283],[280,10562,10564],{"className":10563},[287],[289,10565,10566],{"xmlns":291,"display":4214},[293,10567,10568,10612],{},[296,10569,10570,10594,10596],{},[2246,10571,10572,10584],{},[296,10573,10574,10580,10582],{},[8880,10575,10576,10578],{},[302,10577,2252],{},[958,10579,2630],{},[302,10581,1051],{"mathvariant":1050},[302,10583,234],{},[296,10585,10586,10588],{},[302,10587,2252],{},[8880,10589,10590,10592],{},[302,10591,1833],{},[958,10593,2630],{},[314,10595,2696],{},[2246,10597,10598,10604],{},[296,10599,10600,10602],{},[302,10601,1051],{"mathvariant":1050},[302,10603,234],{},[2622,10605,10606,10608,10610],{},[302,10607,9245],{},[302,10609,234],{},[958,10611,2630],{},[325,10613,9774],{"encoding":327},[280,10615,10617,10755],{"className":10616,"ariaHidden":333},[332],[280,10618,10620,10623,10746,10749,10752],{"className":10619},[337],[280,10621],{"className":10622,"style":8936},[341],[280,10624,10626,10629,10743],{"className":10625},[346],[280,10627],{"className":10628},[1906,2387],[280,10630,10632],{"className":10631},[2246],[280,10633,10635,10735],{"className":10634},[359,360],[280,10636,10638,10732],{"className":10637},[364],[280,10639,10641,10681,10689],{"className":10640,"style":8955},[368],[280,10642,10643,10646],{"style":4331},[280,10644],{"className":10645,"style":2407},[376],[280,10647,10649,10652],{"className":10648},[346],[280,10650,2252],{"className":10651},[346,350],[280,10653,10655,10658],{"className":10654},[346],[280,10656,1833],{"className":10657},[346,350],[280,10659,10661],{"className":10660},[355],[280,10662,10664],{"className":10663},[359],[280,10665,10667],{"className":10666},[364],[280,10668,10670],{"className":10669,"style":8985},[368],[280,10671,10672,10675],{"style":8988},[280,10673],{"className":10674,"style":377},[376],[280,10676,10678],{"className":10677},[381,382,383,384],[280,10679,2630],{"className":10680},[346,384],[280,10682,10683,10686],{"style":2422},[280,10684],{"className":10685,"style":2407},[376],[280,10687],{"className":10688,"style":2430},[2429],[280,10690,10691,10694],{"style":4351},[280,10692],{"className":10693,"style":2407},[376],[280,10695,10697,10726,10729],{"className":10696},[346],[280,10698,10700,10703],{"className":10699},[346],[280,10701,2252],{"className":10702},[346,350],[280,10704,10706],{"className":10705},[355],[280,10707,10709],{"className":10708},[359],[280,10710,10712],{"className":10711},[364],[280,10713,10715],{"className":10714,"style":2725},[368],[280,10716,10717,10720],{"style":2740},[280,10718],{"className":10719,"style":377},[376],[280,10721,10723],{"className":10722},[381,382,383,384],[280,10724,2630],{"className":10725},[346,384],[280,10727,1051],{"className":10728},[346],[280,10730,234],{"className":10731},[346,350],[280,10733,396],{"className":10734},[395],[280,10736,10738],{"className":10737},[364],[280,10739,10741],{"className":10740,"style":5519},[368],[280,10742],{},[280,10744],{"className":10745},[1950,2387],[280,10747],{"className":10748,"style":576},[409],[280,10750,2696],{"className":10751},[580],[280,10753],{"className":10754,"style":576},[409],[280,10756,10758,10762],{"className":10757},[337],[280,10759],{"className":10760,"style":10761},[341],"height:2.4294em;vertical-align:-1.0691em;",[280,10763,10765,10768,10875],{"className":10764},[346],[280,10766],{"className":10767},[1906,2387],[280,10769,10771],{"className":10770},[2246],[280,10772,10774,10866],{"className":10773},[359,360],[280,10775,10777,10863],{"className":10776},[364],[280,10778,10780,10841,10849],{"className":10779,"style":4657},[368],[280,10781,10782,10785],{"style":4331},[280,10783],{"className":10784,"style":2407},[376],[280,10786,10788],{"className":10787},[346],[280,10789,10791,10794],{"className":10790},[346],[280,10792,9245],{"className":10793},[346,350],[280,10795,10797],{"className":10796},[355],[280,10798,10800,10832],{"className":10799},[359,360],[280,10801,10803,10829],{"className":10802},[364],[280,10804,10806,10818],{"className":10805,"style":8985},[368],[280,10807,10809,10812],{"style":10808},"top:-2.453em;margin-left:0em;margin-right:0.05em;",[280,10810],{"className":10811,"style":377},[376],[280,10813,10815],{"className":10814},[381,382,383,384],[280,10816,234],{"className":10817},[346,350,384],[280,10819,10820,10823],{"style":8988},[280,10821],{"className":10822,"style":377},[376],[280,10824,10826],{"className":10825},[381,382,383,384],[280,10827,2630],{"className":10828},[346,384],[280,10830,396],{"className":10831},[395],[280,10833,10835],{"className":10834},[364],[280,10836,10839],{"className":10837,"style":10838},[368],"height:0.3831em;",[280,10840],{},[280,10842,10843,10846],{"style":2422},[280,10844],{"className":10845,"style":2407},[376],[280,10847],{"className":10848,"style":2430},[2429],[280,10850,10851,10854],{"style":4351},[280,10852],{"className":10853,"style":2407},[376],[280,10855,10857,10860],{"className":10856},[346],[280,10858,1051],{"className":10859},[346],[280,10861,234],{"className":10862},[346,350],[280,10864,396],{"className":10865},[395],[280,10867,10869],{"className":10868},[364],[280,10870,10873],{"className":10871,"style":10872},[368],"height:1.0691em;",[280,10874],{},[280,10876],{"className":10877},[1950,2387],[3263,10879,10880],{"id":10880},"通解",[234,10882,10883],{},"这是一个二阶常系数线性齐次微分方程，其通解为：",[280,10885,10887],{"className":10886},[4205],[280,10888,10890,10957],{"className":10889},[283],[280,10891,10893],{"className":10892},[287],[289,10894,10895],{"xmlns":291,"display":4214},[293,10896,10897,10954],{},[296,10898,10899,10901,10903,10905,10907,10909,10911,10913,10931,10933,10936],{},[302,10900,1051],{"mathvariant":1050},[302,10902,234],{},[314,10904,1828],{"stretchy":1827},[302,10906,1833],{},[314,10908,1838],{"stretchy":1827},[314,10910,2696],{},[302,10912,323],{},[8880,10914,10915,10918],{},[302,10916,10917],{},"e",[296,10919,10920,10922,10925],{},[302,10921,1833],{},[302,10923,10924],{"mathvariant":1050},"\u002F",[299,10926,10927,10929],{},[302,10928,9245],{},[302,10930,234],{},[314,10932,3694],{},[302,10934,10935],{},"B",[8880,10937,10938,10940],{},[302,10939,10917],{},[296,10941,10942,10944,10946,10948],{},[314,10943,316],{},[302,10945,1833],{},[302,10947,10924],{"mathvariant":1050},[299,10949,10950,10952],{},[302,10951,9245],{},[302,10953,234],{},[325,10955,10956],{"encoding":327},"\\Delta p(x) = A e^{x\u002FL_p} + B e^{-x\u002FL_p}",[280,10958,10960,10990,11086],{"className":10959,"ariaHidden":333},[332],[280,10961,10963,10966,10969,10972,10975,10978,10981,10984,10987],{"className":10962},[337],[280,10964],{"className":10965,"style":1862},[341],[280,10967,1051],{"className":10968},[346],[280,10970,234],{"className":10971},[346,350],[280,10973,1828],{"className":10974},[1906],[280,10976,1833],{"className":10977},[346,350],[280,10979,1838],{"className":10980},[1950],[280,10982],{"className":10983,"style":576},[409],[280,10985,2696],{"className":10986},[580],[280,10988],{"className":10989,"style":576},[409],[280,10991,10993,10997,11000,11077,11080,11083],{"className":10992},[337],[280,10994],{"className":10995,"style":10996},[341],"height:1.0213em;vertical-align:-0.0833em;",[280,10998,323],{"className":10999},[346,350],[280,11001,11003,11006],{"className":11002},[346],[280,11004,10917],{"className":11005},[346,350],[280,11007,11009],{"className":11008},[355],[280,11010,11012],{"className":11011},[359],[280,11013,11015],{"className":11014},[364],[280,11016,11019],{"className":11017,"style":11018},[368],"height:0.938em;",[280,11020,11022,11025],{"style":11021},"top:-3.113em;margin-right:0.05em;",[280,11023],{"className":11024,"style":377},[376],[280,11026,11028],{"className":11027},[381,382,383,384],[280,11029,11031,11034,11037],{"className":11030},[346,384],[280,11032,1833],{"className":11033},[346,350,384],[280,11035,10924],{"className":11036},[346,384],[280,11038,11040,11043],{"className":11039},[346,384],[280,11041,9245],{"className":11042},[346,350,384],[280,11044,11046],{"className":11045},[355],[280,11047,11049,11069],{"className":11048},[359,360],[280,11050,11052,11066],{"className":11051},[364],[280,11053,11055],{"className":11054,"style":2464},[368],[280,11056,11057,11060],{"style":2467},[280,11058],{"className":11059,"style":2471},[376],[280,11061,11063],{"className":11062},[381,2475,2476,384],[280,11064,234],{"className":11065},[346,350,384],[280,11067,396],{"className":11068},[395],[280,11070,11072],{"className":11071},[364],[280,11073,11075],{"className":11074,"style":3629},[368],[280,11076],{},[280,11078],{"className":11079,"style":351},[409],[280,11081,3694],{"className":11082},[413],[280,11084],{"className":11085,"style":351},[409],[280,11087,11089,11092,11096],{"className":11088},[337],[280,11090],{"className":11091,"style":11018},[341],[280,11093,10935],{"className":11094,"style":11095},[346,350],"margin-right:0.0502em;",[280,11097,11099,11102],{"className":11098},[346],[280,11100,10917],{"className":11101},[346,350],[280,11103,11105],{"className":11104},[355],[280,11106,11108],{"className":11107},[359],[280,11109,11111],{"className":11110},[364],[280,11112,11114],{"className":11113,"style":11018},[368],[280,11115,11116,11119],{"style":11021},[280,11117],{"className":11118,"style":377},[376],[280,11120,11122],{"className":11121},[381,382,383,384],[280,11123,11125,11128,11131,11134],{"className":11124},[346,384],[280,11126,316],{"className":11127},[346,384],[280,11129,1833],{"className":11130},[346,350,384],[280,11132,10924],{"className":11133},[346,384],[280,11135,11137,11140],{"className":11136},[346,384],[280,11138,9245],{"className":11139},[346,350,384],[280,11141,11143],{"className":11142},[355],[280,11144,11146,11166],{"className":11145},[359,360],[280,11147,11149,11163],{"className":11148},[364],[280,11150,11152],{"className":11151,"style":2464},[368],[280,11153,11154,11157],{"style":2467},[280,11155],{"className":11156,"style":2471},[376],[280,11158,11160],{"className":11159},[381,2475,2476,384],[280,11161,234],{"className":11162},[346,350,384],[280,11164,396],{"className":11165},[395],[280,11167,11169],{"className":11168},[364],[280,11170,11172],{"className":11171,"style":3629},[368],[280,11173],{},[3263,11175,11177],{"id":11176},"边界条件-boundary-conditions","边界条件 (Boundary Conditions)",[234,11179,11180,11181,11209],{},"为了确定常数 ",[280,11182,11184,11197],{"className":11183},[283],[280,11185,11187],{"className":11186},[287],[289,11188,11189],{"xmlns":291},[293,11190,11191,11195],{},[296,11192,11193],{},[302,11194,323],{},[325,11196,323],{"encoding":327},[280,11198,11200],{"className":11199,"ariaHidden":333},[332],[280,11201,11203,11206],{"className":11202},[337],[280,11204],{"className":11205,"style":911},[341],[280,11207,323],{"className":11208},[346,350]," 和 B，我们需要两个边界条件：",[1247,11211,11212,11417],{},[482,11213,11214,11215,11268,11269],{},"远场 (",[280,11216,11218,11237],{"className":11217},[283],[280,11219,11221],{"className":11220},[287],[289,11222,11223],{"xmlns":291},[293,11224,11225,11234],{},[296,11226,11227,11229,11231],{},[302,11228,1833],{},[314,11230,1268],{},[302,11232,11233],{"mathvariant":1050},"∞",[325,11235,11236],{"encoding":327},"x \\to \\infty",[280,11238,11240,11259],{"className":11239,"ariaHidden":333},[332],[280,11241,11243,11247,11250,11253,11256],{"className":11242},[337],[280,11244],{"className":11245,"style":11246},[341],"height:0.4306em;",[280,11248,1833],{"className":11249},[346,350],[280,11251],{"className":11252,"style":576},[409],[280,11254,1268],{"className":11255},[580],[280,11257],{"className":11258,"style":576},[409],[280,11260,11262,11265],{"className":11261},[337],[280,11263],{"className":11264,"style":11246},[341],[280,11266,11233],{"className":11267},[346],")：\n",[479,11270,11271,11344],{},[482,11272,11273,11274,11343],{},"我们假设这是一个“长二极管”，即准中性区的宽度远大于 ",[280,11275,11277,11294],{"className":11276},[283],[280,11278,11280],{"className":11279},[287],[289,11281,11282],{"xmlns":291},[293,11283,11284,11292],{},[296,11285,11286],{},[299,11287,11288,11290],{},[302,11289,9245],{},[302,11291,234],{},[325,11293,9250],{"encoding":327},[280,11295,11297],{"className":11296,"ariaHidden":333},[332],[280,11298,11300,11303],{"className":11299},[337],[280,11301],{"className":11302,"style":1075},[341],[280,11304,11306,11309],{"className":11305},[346],[280,11307,9245],{"className":11308},[346,350],[280,11310,11312],{"className":11311},[355],[280,11313,11315,11335],{"className":11314},[359,360],[280,11316,11318,11332],{"className":11317},[364],[280,11319,11321],{"className":11320,"style":1097},[368],[280,11322,11323,11326],{"style":1100},[280,11324],{"className":11325,"style":377},[376],[280,11327,11329],{"className":11328},[381,382,383,384],[280,11330,234],{"className":11331},[346,350,384],[280,11333,396],{"className":11334},[395],[280,11336,11338],{"className":11337},[364],[280,11339,11341],{"className":11340,"style":1119},[368],[280,11342],{},"。在远离结的地方，所有注入的过剩载流子都复合完了，浓度恢复到平衡值。",[482,11345,11346],{},[280,11347,11349,11375],{"className":11348},[283],[280,11350,11352],{"className":11351},[287],[289,11353,11354],{"xmlns":291},[293,11355,11356,11372],{},[296,11357,11358,11360,11362,11364,11366,11368,11370],{},[302,11359,1051],{"mathvariant":1050},[302,11361,234],{},[314,11363,1828],{"stretchy":1827},[302,11365,11233],{"mathvariant":1050},[314,11367,1838],{"stretchy":1827},[314,11369,2696],{},[958,11371,960],{},[325,11373,11374],{"encoding":327},"\\Delta p(\\infty) = 0",[280,11376,11378,11408],{"className":11377,"ariaHidden":333},[332],[280,11379,11381,11384,11387,11390,11393,11396,11399,11402,11405],{"className":11380},[337],[280,11382],{"className":11383,"style":1862},[341],[280,11385,1051],{"className":11386},[346],[280,11388,234],{"className":11389},[346,350],[280,11391,1828],{"className":11392},[1906],[280,11394,11233],{"className":11395},[346],[280,11397,1838],{"className":11398},[1950],[280,11400],{"className":11401,"style":576},[409],[280,11403,2696],{"className":11404},[580],[280,11406],{"className":11407,"style":576},[409],[280,11409,11411,11414],{"className":11410},[337],[280,11412],{"className":11413,"style":1028},[341],[280,11415,960],{"className":11416},[346],[482,11418,11419,11420,11268,11512],{},"结的边界 (",[280,11421,11423,11445],{"className":11422},[283],[280,11424,11426],{"className":11425},[287],[289,11427,11428],{"xmlns":291},[293,11429,11430,11442],{},[296,11431,11432,11434,11436],{},[302,11433,1833],{},[314,11435,2696],{},[299,11437,11438,11440],{},[302,11439,1833],{},[302,11441,1846],{},[325,11443,11444],{"encoding":327},"x = x_N",[280,11446,11448,11466],{"className":11447,"ariaHidden":333},[332],[280,11449,11451,11454,11457,11460,11463],{"className":11450},[337],[280,11452],{"className":11453,"style":11246},[341],[280,11455,1833],{"className":11456},[346,350],[280,11458],{"className":11459,"style":576},[409],[280,11461,2696],{"className":11462},[580],[280,11464],{"className":11465,"style":576},[409],[280,11467,11469,11472],{"className":11468},[337],[280,11470],{"className":11471,"style":10510},[341],[280,11473,11475,11478],{"className":11474},[346],[280,11476,1833],{"className":11477},[346,350],[280,11479,11481],{"className":11480},[355],[280,11482,11484,11504],{"className":11483},[359,360],[280,11485,11487,11501],{"className":11486},[364],[280,11488,11490],{"className":11489,"style":441},[368],[280,11491,11492,11495],{"style":1100},[280,11493],{"className":11494,"style":377},[376],[280,11496,11498],{"className":11497},[381,382,383,384],[280,11499,1846],{"className":11500,"style":1972},[346,350,384],[280,11502,396],{"className":11503},[395],[280,11505,11507],{"className":11506},[364],[280,11508,11510],{"className":11509,"style":403},[368],[280,11511],{},[479,11513,11514,11517],{},[482,11515,11516],{},"在耗尽区的N侧边界，过剩空穴浓度由结定律 (Law of the Junction) 决定（这是前一节课的核心内容）：",[482,11518,11519],{},[280,11520,11522,11587],{"className":11521},[283],[280,11523,11525],{"className":11524},[287],[289,11526,11527],{"xmlns":291},[293,11528,11529,11584],{},[296,11530,11531,11533,11535,11537,11543,11545,11547,11557,11559,11577,11579,11582],{},[302,11532,1051],{"mathvariant":1050},[302,11534,234],{},[314,11536,1828],{"stretchy":1827},[299,11538,11539,11541],{},[302,11540,1833],{},[302,11542,1846],{},[314,11544,1838],{"stretchy":1827},[314,11546,2696],{},[299,11548,11549,11551],{},[302,11550,234],{},[296,11552,11553,11555],{},[302,11554,1056],{},[958,11556,960],{},[314,11558,1828],{"stretchy":1827},[8880,11560,11561,11563],{},[302,11562,10917],{},[296,11564,11565,11567,11569,11571,11574],{},[302,11566,667],{},[302,11568,304],{},[302,11570,10924],{"mathvariant":1050},[302,11572,11573],{},"k",[302,11575,11576],{},"T",[314,11578,316],{},[958,11580,11581],{},"1",[314,11583,1838],{"stretchy":1827},[325,11585,11586],{"encoding":327},"\\Delta p(x_N) = p_{n0}(e^{qV\u002FkT} - 1)",[280,11588,11590,11657,11768],{"className":11589,"ariaHidden":333},[332],[280,11591,11593,11596,11599,11602,11605,11645,11648,11651,11654],{"className":11592},[337],[280,11594],{"className":11595,"style":1862},[341],[280,11597,1051],{"className":11598},[346],[280,11600,234],{"className":11601},[346,350],[280,11603,1828],{"className":11604},[1906],[280,11606,11608,11611],{"className":11607},[346],[280,11609,1833],{"className":11610},[346,350],[280,11612,11614],{"className":11613},[355],[280,11615,11617,11637],{"className":11616},[359,360],[280,11618,11620,11634],{"className":11619},[364],[280,11621,11623],{"className":11622,"style":441},[368],[280,11624,11625,11628],{"style":1100},[280,11626],{"className":11627,"style":377},[376],[280,11629,11631],{"className":11630},[381,382,383,384],[280,11632,1846],{"className":11633,"style":1972},[346,350,384],[280,11635,396],{"className":11636},[395],[280,11638,11640],{"className":11639},[364],[280,11641,11643],{"className":11642,"style":403},[368],[280,11644],{},[280,11646,1838],{"className":11647},[1950],[280,11649],{"className":11650,"style":576},[409],[280,11652,2696],{"className":11653},[580],[280,11655],{"className":11656,"style":576},[409],[280,11658,11660,11664,11710,11713,11759,11762,11765],{"className":11659},[337],[280,11661],{"className":11662,"style":11663},[341],"height:1.138em;vertical-align:-0.25em;",[280,11665,11667,11670],{"className":11666},[346],[280,11668,234],{"className":11669},[346,350],[280,11671,11673],{"className":11672},[355],[280,11674,11676,11702],{"className":11675},[359,360],[280,11677,11679,11699],{"className":11678},[364],[280,11680,11682],{"className":11681,"style":7465},[368],[280,11683,11684,11687],{"style":1100},[280,11685],{"className":11686,"style":377},[376],[280,11688,11690],{"className":11689},[381,382,383,384],[280,11691,11693,11696],{"className":11692},[346,384],[280,11694,1056],{"className":11695},[346,350,384],[280,11697,960],{"className":11698},[346,384],[280,11700,396],{"className":11701},[395],[280,11703,11705],{"className":11704},[364],[280,11706,11708],{"className":11707,"style":403},[368],[280,11709],{},[280,11711,1828],{"className":11712},[1906],[280,11714,11716,11719],{"className":11715},[346],[280,11717,10917],{"className":11718},[346,350],[280,11720,11722],{"className":11721},[355],[280,11723,11725],{"className":11724},[359],[280,11726,11728],{"className":11727},[364],[280,11729,11732],{"className":11730,"style":11731},[368],"height:0.888em;",[280,11733,11734,11737],{"style":2740},[280,11735],{"className":11736,"style":377},[376],[280,11738,11740],{"className":11739},[381,382,383,384],[280,11741,11743,11746,11749,11752,11756],{"className":11742},[346,384],[280,11744,667],{"className":11745,"style":690},[346,350,384],[280,11747,304],{"className":11748,"style":351},[346,350,384],[280,11750,10924],{"className":11751},[346,384],[280,11753,11573],{"className":11754,"style":11755},[346,350,384],"margin-right:0.0315em;",[280,11757,11576],{"className":11758,"style":915},[346,350,384],[280,11760],{"className":11761,"style":351},[409],[280,11763,316],{"className":11764},[413],[280,11766],{"className":11767,"style":351},[409],[280,11769,11771,11774,11777],{"className":11770},[337],[280,11772],{"className":11773,"style":1862},[341],[280,11775,11581],{"className":11776},[346],[280,11778,1838],{"className":11779},[1950],[3263,11781,11782],{"id":11782},"求解",[479,11784,11785,12282,13035],{},[482,11786,11787,11788],{},"应用边界条件1：\n",[479,11789,11790,12112],{},[482,11791,6046,11792,11842,11843,11980,11981,12051,12052,12080,12081,881],{},[280,11793,11795,11812],{"className":11794},[283],[280,11796,11798],{"className":11797},[287],[289,11799,11800],{"xmlns":291},[293,11801,11802,11810],{},[296,11803,11804,11806,11808],{},[302,11805,1833],{},[314,11807,1268],{},[302,11809,11233],{"mathvariant":1050},[325,11811,11236],{"encoding":327},[280,11813,11815,11833],{"className":11814,"ariaHidden":333},[332],[280,11816,11818,11821,11824,11827,11830],{"className":11817},[337],[280,11819],{"className":11820,"style":11246},[341],[280,11822,1833],{"className":11823},[346,350],[280,11825],{"className":11826,"style":576},[409],[280,11828,1268],{"className":11829},[580],[280,11831],{"className":11832,"style":576},[409],[280,11834,11836,11839],{"className":11835},[337],[280,11837],{"className":11838,"style":11246},[341],[280,11840,11233],{"className":11841},[346]," 时，",[280,11844,11846,11878],{"className":11845},[283],[280,11847,11849],{"className":11848},[287],[289,11850,11851],{"xmlns":291},[293,11852,11853,11875],{},[296,11854,11855,11871,11873],{},[8880,11856,11857,11859],{},[302,11858,10917],{},[296,11860,11861,11863,11865],{},[302,11862,1833],{},[302,11864,10924],{"mathvariant":1050},[299,11866,11867,11869],{},[302,11868,9245],{},[302,11870,234],{},[314,11872,1268],{},[302,11874,11233],{"mathvariant":1050},[325,11876,11877],{"encoding":327},"e^{x\u002FL_p} \\to \\infty",[280,11879,11881,11971],{"className":11880,"ariaHidden":333},[332],[280,11882,11884,11887,11962,11965,11968],{"className":11883},[337],[280,11885],{"className":11886,"style":11731},[341],[280,11888,11890,11893],{"className":11889},[346],[280,11891,10917],{"className":11892},[346,350],[280,11894,11896],{"className":11895},[355],[280,11897,11899],{"className":11898},[359],[280,11900,11902],{"className":11901},[364],[280,11903,11905],{"className":11904,"style":11731},[368],[280,11906,11907,11910],{"style":2740},[280,11908],{"className":11909,"style":377},[376],[280,11911,11913],{"className":11912},[381,382,383,384],[280,11914,11916,11919,11922],{"className":11915},[346,384],[280,11917,1833],{"className":11918},[346,350,384],[280,11920,10924],{"className":11921},[346,384],[280,11923,11925,11928],{"className":11924},[346,384],[280,11926,9245],{"className":11927},[346,350,384],[280,11929,11931],{"className":11930},[355],[280,11932,11934,11954],{"className":11933},[359,360],[280,11935,11937,11951],{"className":11936},[364],[280,11938,11940],{"className":11939,"style":2464},[368],[280,11941,11942,11945],{"style":2467},[280,11943],{"className":11944,"style":2471},[376],[280,11946,11948],{"className":11947},[381,2475,2476,384],[280,11949,234],{"className":11950},[346,350,384],[280,11952,396],{"className":11953},[395],[280,11955,11957],{"className":11956},[364],[280,11958,11960],{"className":11959,"style":3629},[368],[280,11961],{},[280,11963],{"className":11964,"style":576},[409],[280,11966,1268],{"className":11967},[580],[280,11969],{"className":11970,"style":576},[409],[280,11972,11974,11977],{"className":11973},[337],[280,11975],{"className":11976,"style":11246},[341],[280,11978,11233],{"className":11979},[346],"。为了使 ",[280,11982,11984,12009],{"className":11983},[283],[280,11985,11987],{"className":11986},[287],[289,11988,11989],{"xmlns":291},[293,11990,11991,12007],{},[296,11992,11993,11995,11997,11999,12001,12003,12005],{},[302,11994,1051],{"mathvariant":1050},[302,11996,234],{},[314,11998,1828],{"stretchy":1827},[302,12000,11233],{"mathvariant":1050},[314,12002,1838],{"stretchy":1827},[314,12004,2696],{},[958,12006,960],{},[325,12008,11374],{"encoding":327},[280,12010,12012,12042],{"className":12011,"ariaHidden":333},[332],[280,12013,12015,12018,12021,12024,12027,12030,12033,12036,12039],{"className":12014},[337],[280,12016],{"className":12017,"style":1862},[341],[280,12019,1051],{"className":12020},[346],[280,12022,234],{"className":12023},[346,350],[280,12025,1828],{"className":12026},[1906],[280,12028,11233],{"className":12029},[346],[280,12031,1838],{"className":12032},[1950],[280,12034],{"className":12035,"style":576},[409],[280,12037,2696],{"className":12038},[580],[280,12040],{"className":12041,"style":576},[409],[280,12043,12045,12048],{"className":12044},[337],[280,12046],{"className":12047,"style":1028},[341],[280,12049,960],{"className":12050},[346],"，系数 ",[280,12053,12055,12068],{"className":12054},[283],[280,12056,12058],{"className":12057},[287],[289,12059,12060],{"xmlns":291},[293,12061,12062,12066],{},[296,12063,12064],{},[302,12065,323],{},[325,12067,323],{"encoding":327},[280,12069,12071],{"className":12070,"ariaHidden":333},[332],[280,12072,12074,12077],{"className":12073},[337],[280,12075],{"className":12076,"style":911},[341],[280,12078,323],{"className":12079},[346,350]," 必须等于 ",[280,12082,12084,12099],{"className":12083},[283],[280,12085,12087],{"className":12086},[287],[289,12088,12089],{"xmlns":291},[293,12090,12091,12096],{},[296,12092,12093],{},[958,12094,960],{"mathvariant":12095},"bold",[325,12097,12098],{"encoding":327},"\\mathbf{0}",[280,12100,12102],{"className":12101,"ariaHidden":333},[332],[280,12103,12105,12108],{"className":12104},[337],[280,12106],{"className":12107,"style":1028},[341],[280,12109,960],{"className":12110},[346,12111],"mathbf",[482,12113,12114,12115],{},"方程简化为：",[280,12116,12118,12162],{"className":12117},[283],[280,12119,12121],{"className":12120},[287],[289,12122,12123],{"xmlns":291},[293,12124,12125,12159],{},[296,12126,12127,12129,12131,12133,12135,12137,12139,12141],{},[302,12128,1051],{"mathvariant":1050},[302,12130,234],{},[314,12132,1828],{"stretchy":1827},[302,12134,1833],{},[314,12136,1838],{"stretchy":1827},[314,12138,2696],{},[302,12140,10935],{},[8880,12142,12143,12145],{},[302,12144,10917],{},[296,12146,12147,12149,12151,12153],{},[314,12148,316],{},[302,12150,1833],{},[302,12152,10924],{"mathvariant":1050},[299,12154,12155,12157],{},[302,12156,9245],{},[302,12158,234],{},[325,12160,12161],{"encoding":327},"\\Delta p(x) = B e^{-x\u002FL_p}",[280,12163,12165,12195],{"className":12164,"ariaHidden":333},[332],[280,12166,12168,12171,12174,12177,12180,12183,12186,12189,12192],{"className":12167},[337],[280,12169],{"className":12170,"style":1862},[341],[280,12172,1051],{"className":12173},[346],[280,12175,234],{"className":12176},[346,350],[280,12178,1828],{"className":12179},[1906],[280,12181,1833],{"className":12182},[346,350],[280,12184,1838],{"className":12185},[1950],[280,12187],{"className":12188,"style":576},[409],[280,12190,2696],{"className":12191},[580],[280,12193],{"className":12194,"style":576},[409],[280,12196,12198,12201,12204],{"className":12197},[337],[280,12199],{"className":12200,"style":11731},[341],[280,12202,10935],{"className":12203,"style":11095},[346,350],[280,12205,12207,12210],{"className":12206},[346],[280,12208,10917],{"className":12209},[346,350],[280,12211,12213],{"className":12212},[355],[280,12214,12216],{"className":12215},[359],[280,12217,12219],{"className":12218},[364],[280,12220,12222],{"className":12221,"style":11731},[368],[280,12223,12224,12227],{"style":2740},[280,12225],{"className":12226,"style":377},[376],[280,12228,12230],{"className":12229},[381,382,383,384],[280,12231,12233,12236,12239,12242],{"className":12232},[346,384],[280,12234,316],{"className":12235},[346,384],[280,12237,1833],{"className":12238},[346,350,384],[280,12240,10924],{"className":12241},[346,384],[280,12243,12245,12248],{"className":12244},[346,384],[280,12246,9245],{"className":12247},[346,350,384],[280,12249,12251],{"className":12250},[355],[280,12252,12254,12274],{"className":12253},[359,360],[280,12255,12257,12271],{"className":12256},[364],[280,12258,12260],{"className":12259,"style":2464},[368],[280,12261,12262,12265],{"style":2467},[280,12263],{"className":12264,"style":2471},[376],[280,12266,12268],{"className":12267},[381,2475,2476,384],[280,12269,234],{"className":12270},[346,350,384],[280,12272,396],{"className":12273},[395],[280,12275,12277],{"className":12276},[364],[280,12278,12280],{"className":12279,"style":3629},[368],[280,12281],{},[482,12283,12284,12285],{},"应用边界条件2：\n",[479,12286,12287,12706],{},[482,12288,12289],{},[280,12290,12292,12380],{"className":12291},[283],[280,12293,12295],{"className":12294},[287],[289,12296,12297],{"xmlns":291},[293,12298,12299,12377],{},[296,12300,12301,12303,12305,12307,12313,12315,12317,12319,12341,12343,12353,12355,12371,12373,12375],{},[302,12302,1051],{"mathvariant":1050},[302,12304,234],{},[314,12306,1828],{"stretchy":1827},[299,12308,12309,12311],{},[302,12310,1833],{},[302,12312,1846],{},[314,12314,1838],{"stretchy":1827},[314,12316,2696],{},[302,12318,10935],{},[8880,12320,12321,12323],{},[302,12322,10917],{},[296,12324,12325,12327,12333,12335],{},[314,12326,316],{},[299,12328,12329,12331],{},[302,12330,1833],{},[302,12332,1846],{},[302,12334,10924],{"mathvariant":1050},[299,12336,12337,12339],{},[302,12338,9245],{},[302,12340,234],{},[314,12342,2696],{},[299,12344,12345,12347],{},[302,12346,234],{},[296,12348,12349,12351],{},[302,12350,1056],{},[958,12352,960],{},[314,12354,1828],{"stretchy":1827},[8880,12356,12357,12359],{},[302,12358,10917],{},[296,12360,12361,12363,12365,12367,12369],{},[302,12362,667],{},[302,12364,304],{},[302,12366,10924],{"mathvariant":1050},[302,12368,11573],{},[302,12370,11576],{},[314,12372,316],{},[958,12374,11581],{},[314,12376,1838],{"stretchy":1827},[325,12378,12379],{"encoding":327},"\\Delta p(x_N) = B e^{-x_N \u002F L_p} = p_{n0}(e^{qV\u002FkT} - 1)",[280,12381,12383,12450,12586,12694],{"className":12382,"ariaHidden":333},[332],[280,12384,12386,12389,12392,12395,12398,12438,12441,12444,12447],{"className":12385},[337],[280,12387],{"className":12388,"style":1862},[341],[280,12390,1051],{"className":12391},[346],[280,12393,234],{"className":12394},[346,350],[280,12396,1828],{"className":12397},[1906],[280,12399,12401,12404],{"className":12400},[346],[280,12402,1833],{"className":12403},[346,350],[280,12405,12407],{"className":12406},[355],[280,12408,12410,12430],{"className":12409},[359,360],[280,12411,12413,12427],{"className":12412},[364],[280,12414,12416],{"className":12415,"style":441},[368],[280,12417,12418,12421],{"style":1100},[280,12419],{"className":12420,"style":377},[376],[280,12422,12424],{"className":12423},[381,382,383,384],[280,12425,1846],{"className":12426,"style":1972},[346,350,384],[280,12428,396],{"className":12429},[395],[280,12431,12433],{"className":12432},[364],[280,12434,12436],{"className":12435,"style":403},[368],[280,12437],{},[280,12439,1838],{"className":12440},[1950],[280,12442],{"className":12443,"style":576},[409],[280,12445,2696],{"className":12446},[580],[280,12448],{"className":12449,"style":576},[409],[280,12451,12453,12456,12459,12577,12580,12583],{"className":12452},[337],[280,12454],{"className":12455,"style":11731},[341],[280,12457,10935],{"className":12458,"style":11095},[346,350],[280,12460,12462,12465],{"className":12461},[346],[280,12463,10917],{"className":12464},[346,350],[280,12466,12468],{"className":12467},[355],[280,12469,12471],{"className":12470},[359],[280,12472,12474],{"className":12473},[364],[280,12475,12477],{"className":12476,"style":11731},[368],[280,12478,12479,12482],{"style":2740},[280,12480],{"className":12481,"style":377},[376],[280,12483,12485],{"className":12484},[381,382,383,384],[280,12486,12488,12491,12534,12537],{"className":12487},[346,384],[280,12489,316],{"className":12490},[346,384],[280,12492,12494,12497],{"className":12493},[346,384],[280,12495,1833],{"className":12496},[346,350,384],[280,12498,12500],{"className":12499},[355],[280,12501,12503,12525],{"className":12502},[359,360],[280,12504,12506,12522],{"className":12505},[364],[280,12507,12510],{"className":12508,"style":12509},[368],"height:0.3448em;",[280,12511,12513,12516],{"style":12512},"top:-2.3567em;margin-left:0em;margin-right:0.0714em;",[280,12514],{"className":12515,"style":2471},[376],[280,12517,12519],{"className":12518},[381,2475,2476,384],[280,12520,1846],{"className":12521,"style":1972},[346,350,384],[280,12523,396],{"className":12524},[395],[280,12526,12528],{"className":12527},[364],[280,12529,12532],{"className":12530,"style":12531},[368],"height:0.1433em;",[280,12533],{},[280,12535,10924],{"className":12536},[346,384],[280,12538,12540,12543],{"className":12539},[346,384],[280,12541,9245],{"className":12542},[346,350,384],[280,12544,12546],{"className":12545},[355],[280,12547,12549,12569],{"className":12548},[359,360],[280,12550,12552,12566],{"className":12551},[364],[280,12553,12555],{"className":12554,"style":2464},[368],[280,12556,12557,12560],{"style":2467},[280,12558],{"className":12559,"style":2471},[376],[280,12561,12563],{"className":12562},[381,2475,2476,384],[280,12564,234],{"className":12565},[346,350,384],[280,12567,396],{"className":12568},[395],[280,12570,12572],{"className":12571},[364],[280,12573,12575],{"className":12574,"style":3629},[368],[280,12576],{},[280,12578],{"className":12579,"style":576},[409],[280,12581,2696],{"className":12582},[580],[280,12584],{"className":12585,"style":576},[409],[280,12587,12589,12592,12638,12641,12685,12688,12691],{"className":12588},[337],[280,12590],{"className":12591,"style":11663},[341],[280,12593,12595,12598],{"className":12594},[346],[280,12596,234],{"className":12597},[346,350],[280,12599,12601],{"className":12600},[355],[280,12602,12604,12630],{"className":12603},[359,360],[280,12605,12607,12627],{"className":12606},[364],[280,12608,12610],{"className":12609,"style":7465},[368],[280,12611,12612,12615],{"style":1100},[280,12613],{"className":12614,"style":377},[376],[280,12616,12618],{"className":12617},[381,382,383,384],[280,12619,12621,12624],{"className":12620},[346,384],[280,12622,1056],{"className":12623},[346,350,384],[280,12625,960],{"className":12626},[346,384],[280,12628,396],{"className":12629},[395],[280,12631,12633],{"className":12632},[364],[280,12634,12636],{"className":12635,"style":403},[368],[280,12637],{},[280,12639,1828],{"className":12640},[1906],[280,12642,12644,12647],{"className":12643},[346],[280,12645,10917],{"className":12646},[346,350],[280,12648,12650],{"className":12649},[355],[280,12651,12653],{"className":12652},[359],[280,12654,12656],{"className":12655},[364],[280,12657,12659],{"className":12658,"style":11731},[368],[280,12660,12661,12664],{"style":2740},[280,12662],{"className":12663,"style":377},[376],[280,12665,12667],{"className":12666},[381,382,383,384],[280,12668,12670,12673,12676,12679,12682],{"className":12669},[346,384],[280,12671,667],{"className":12672,"style":690},[346,350,384],[280,12674,304],{"className":12675,"style":351},[346,350,384],[280,12677,10924],{"className":12678},[346,384],[280,12680,11573],{"className":12681,"style":11755},[346,350,384],[280,12683,11576],{"className":12684,"style":915},[346,350,384],[280,12686],{"className":12687,"style":351},[409],[280,12689,316],{"className":12690},[413],[280,12692],{"className":12693,"style":351},[409],[280,12695,12697,12700,12703],{"className":12696},[337],[280,12698],{"className":12699,"style":1862},[341],[280,12701,11581],{"className":12702},[346],[280,12704,1838],{"className":12705},[1950],[482,12707,12708,12709],{},"解得 B：",[280,12710,12712,12782],{"className":12711},[283],[280,12713,12715],{"className":12714},[287],[289,12716,12717],{"xmlns":291},[293,12718,12719,12779],{},[296,12720,12721,12723,12725,12735,12737,12753,12755,12757,12759],{},[302,12722,10935],{},[314,12724,2696],{},[299,12726,12727,12729],{},[302,12728,234],{},[296,12730,12731,12733],{},[302,12732,1056],{},[958,12734,960],{},[314,12736,1828],{"stretchy":1827},[8880,12738,12739,12741],{},[302,12740,10917],{},[296,12742,12743,12745,12747,12749,12751],{},[302,12744,667],{},[302,12746,304],{},[302,12748,10924],{"mathvariant":1050},[302,12750,11573],{},[302,12752,11576],{},[314,12754,316],{},[958,12756,11581],{},[314,12758,1838],{"stretchy":1827},[8880,12760,12761,12763],{},[302,12762,10917],{},[296,12764,12765,12771,12773],{},[299,12766,12767,12769],{},[302,12768,1833],{},[302,12770,1846],{},[302,12772,10924],{"mathvariant":1050},[299,12774,12775,12777],{},[302,12776,9245],{},[302,12778,234],{},[325,12780,12781],{"encoding":327},"B = p_{n0}(e^{qV\u002FkT} - 1) e^{x_N \u002F L_p}",[280,12783,12785,12803,12911],{"className":12784,"ariaHidden":333},[332],[280,12786,12788,12791,12794,12797,12800],{"className":12787},[337],[280,12789],{"className":12790,"style":911},[341],[280,12792,10935],{"className":12793,"style":11095},[346,350],[280,12795],{"className":12796,"style":576},[409],[280,12798,2696],{"className":12799},[580],[280,12801],{"className":12802,"style":576},[409],[280,12804,12806,12809,12855,12858,12902,12905,12908],{"className":12805},[337],[280,12807],{"className":12808,"style":11663},[341],[280,12810,12812,12815],{"className":12811},[346],[280,12813,234],{"className":12814},[346,350],[280,12816,12818],{"className":12817},[355],[280,12819,12821,12847],{"className":12820},[359,360],[280,12822,12824,12844],{"className":12823},[364],[280,12825,12827],{"className":12826,"style":7465},[368],[280,12828,12829,12832],{"style":1100},[280,12830],{"className":12831,"style":377},[376],[280,12833,12835],{"className":12834},[381,382,383,384],[280,12836,12838,12841],{"className":12837},[346,384],[280,12839,1056],{"className":12840},[346,350,384],[280,12842,960],{"className":12843},[346,384],[280,12845,396],{"className":12846},[395],[280,12848,12850],{"className":12849},[364],[280,12851,12853],{"className":12852,"style":403},[368],[280,12854],{},[280,12856,1828],{"className":12857},[1906],[280,12859,12861,12864],{"className":12860},[346],[280,12862,10917],{"className":12863},[346,350],[280,12865,12867],{"className":12866},[355],[280,12868,12870],{"className":12869},[359],[280,12871,12873],{"className":12872},[364],[280,12874,12876],{"className":12875,"style":11731},[368],[280,12877,12878,12881],{"style":2740},[280,12879],{"className":12880,"style":377},[376],[280,12882,12884],{"className":12883},[381,382,383,384],[280,12885,12887,12890,12893,12896,12899],{"className":12886},[346,384],[280,12888,667],{"className":12889,"style":690},[346,350,384],[280,12891,304],{"className":12892,"style":351},[346,350,384],[280,12894,10924],{"className":12895},[346,384],[280,12897,11573],{"className":12898,"style":11755},[346,350,384],[280,12900,11576],{"className":12901,"style":915},[346,350,384],[280,12903],{"className":12904,"style":351},[409],[280,12906,316],{"className":12907},[413],[280,12909],{"className":12910,"style":351},[409],[280,12912,12914,12917,12920,12923],{"className":12913},[337],[280,12915],{"className":12916,"style":11663},[341],[280,12918,11581],{"className":12919},[346],[280,12921,1838],{"className":12922},[1950],[280,12924,12926,12929],{"className":12925},[346],[280,12927,10917],{"className":12928},[346,350],[280,12930,12932],{"className":12931},[355],[280,12933,12935],{"className":12934},[359],[280,12936,12938],{"className":12937},[364],[280,12939,12941],{"className":12940,"style":11731},[368],[280,12942,12943,12946],{"style":2740},[280,12944],{"className":12945,"style":377},[376],[280,12947,12949],{"className":12948},[381,382,383,384],[280,12950,12952,12992,12995],{"className":12951},[346,384],[280,12953,12955,12958],{"className":12954},[346,384],[280,12956,1833],{"className":12957},[346,350,384],[280,12959,12961],{"className":12960},[355],[280,12962,12964,12984],{"className":12963},[359,360],[280,12965,12967,12981],{"className":12966},[364],[280,12968,12970],{"className":12969,"style":12509},[368],[280,12971,12972,12975],{"style":12512},[280,12973],{"className":12974,"style":2471},[376],[280,12976,12978],{"className":12977},[381,2475,2476,384],[280,12979,1846],{"className":12980,"style":1972},[346,350,384],[280,12982,396],{"className":12983},[395],[280,12985,12987],{"className":12986},[364],[280,12988,12990],{"className":12989,"style":12531},[368],[280,12991],{},[280,12993,10924],{"className":12994},[346,384],[280,12996,12998,13001],{"className":12997},[346,384],[280,12999,9245],{"className":13000},[346,350,384],[280,13002,13004],{"className":13003},[355],[280,13005,13007,13027],{"className":13006},[359,360],[280,13008,13010,13024],{"className":13009},[364],[280,13011,13013],{"className":13012,"style":2464},[368],[280,13014,13015,13018],{"style":2467},[280,13016],{"className":13017,"style":2471},[376],[280,13019,13021],{"className":13020},[381,2475,2476,384],[280,13022,234],{"className":13023},[346,350,384],[280,13025,396],{"className":13026},[395],[280,13028,13030],{"className":13029},[364],[280,13031,13033],{"className":13032,"style":3629},[368],[280,13034],{},[482,13036,13037,13038],{},"将 B 代回，得到最终解：\n",[479,13039,13040],{},[482,13041,13042],{},[280,13043,13045,13152],{"className":13044},[283],[280,13046,13048],{"className":13047},[287],[289,13049,13050],{"xmlns":291},[293,13051,13052,13149],{},[296,13053,13054,13056,13058,13060,13062,13064,13066,13076,13078,13094,13096,13098,13100,13130,13133,13135,13139,13141,13143],{},[302,13055,1051],{"mathvariant":1050},[302,13057,234],{},[314,13059,1828],{"stretchy":1827},[302,13061,1833],{},[314,13063,1838],{"stretchy":1827},[314,13065,2696],{},[299,13067,13068,13070],{},[302,13069,234],{},[296,13071,13072,13074],{},[302,13073,1056],{},[958,13075,960],{},[314,13077,1828],{"stretchy":1827},[8880,13079,13080,13082],{},[302,13081,10917],{},[296,13083,13084,13086,13088,13090,13092],{},[302,13085,667],{},[302,13087,304],{},[302,13089,10924],{"mathvariant":1050},[302,13091,11573],{},[302,13093,11576],{},[314,13095,316],{},[958,13097,11581],{},[314,13099,1838],{"stretchy":1827},[8880,13101,13102,13104],{},[302,13103,10917],{},[296,13105,13106,13108,13110,13112,13114,13120,13122,13124],{},[314,13107,316],{},[314,13109,1828],{"stretchy":1827},[302,13111,1833],{},[314,13113,316],{},[299,13115,13116,13118],{},[302,13117,1833],{},[302,13119,1846],{},[314,13121,1838],{"stretchy":1827},[302,13123,10924],{"mathvariant":1050},[299,13125,13126,13128],{},[302,13127,9245],{},[302,13129,234],{},[409,13131],{"width":13132},"1em",[314,13134,1142],{"separator":333},[13136,13137,13138],"mtext",{},"for ",[302,13140,1833],{},[314,13142,956],{},[299,13144,13145,13147],{},[302,13146,1833],{},[302,13148,1846],{},[325,13150,13151],{"encoding":327},"\\Delta p(x) = p_{n0}(e^{qV\u002FkT} - 1) e^{-(x - x_N) \u002F L_p} \\quad , \\text{for } x > x_N",[280,13153,13155,13185,13293,13462],{"className":13154,"ariaHidden":333},[332],[280,13156,13158,13161,13164,13167,13170,13173,13176,13179,13182],{"className":13157},[337],[280,13159],{"className":13160,"style":1862},[341],[280,13162,1051],{"className":13163},[346],[280,13165,234],{"className":13166},[346,350],[280,13168,1828],{"className":13169},[1906],[280,13171,1833],{"className":13172},[346,350],[280,13174,1838],{"className":13175},[1950],[280,13177],{"className":13178,"style":576},[409],[280,13180,2696],{"className":13181},[580],[280,13183],{"className":13184,"style":576},[409],[280,13186,13188,13191,13237,13240,13284,13287,13290],{"className":13187},[337],[280,13189],{"className":13190,"style":11663},[341],[280,13192,13194,13197],{"className":13193},[346],[280,13195,234],{"className":13196},[346,350],[280,13198,13200],{"className":13199},[355],[280,13201,13203,13229],{"className":13202},[359,360],[280,13204,13206,13226],{"className":13205},[364],[280,13207,13209],{"className":13208,"style":7465},[368],[280,13210,13211,13214],{"style":1100},[280,13212],{"className":13213,"style":377},[376],[280,13215,13217],{"className":13216},[381,382,383,384],[280,13218,13220,13223],{"className":13219},[346,384],[280,13221,1056],{"className":13222},[346,350,384],[280,13224,960],{"className":13225},[346,384],[280,13227,396],{"className":13228},[395],[280,13230,13232],{"className":13231},[364],[280,13233,13235],{"className":13234,"style":403},[368],[280,13236],{},[280,13238,1828],{"className":13239},[1906],[280,13241,13243,13246],{"className":13242},[346],[280,13244,10917],{"className":13245},[346,350],[280,13247,13249],{"className":13248},[355],[280,13250,13252],{"className":13251},[359],[280,13253,13255],{"className":13254},[364],[280,13256,13258],{"className":13257,"style":11731},[368],[280,13259,13260,13263],{"style":2740},[280,13261],{"className":13262,"style":377},[376],[280,13264,13266],{"className":13265},[381,382,383,384],[280,13267,13269,13272,13275,13278,13281],{"className":13268},[346,384],[280,13270,667],{"className":13271,"style":690},[346,350,384],[280,13273,304],{"className":13274,"style":351},[346,350,384],[280,13276,10924],{"className":13277},[346,384],[280,13279,11573],{"className":13280,"style":11755},[346,350,384],[280,13282,11576],{"className":13283,"style":915},[346,350,384],[280,13285],{"className":13286,"style":351},[409],[280,13288,316],{"className":13289},[413],[280,13291],{"className":13292,"style":351},[409],[280,13294,13296,13299,13302,13305,13432,13436,13440,13443,13450,13453,13456,13459],{"className":13295},[337],[280,13297],{"className":13298,"style":11663},[341],[280,13300,11581],{"className":13301},[346],[280,13303,1838],{"className":13304},[1950],[280,13306,13308,13311],{"className":13307},[346],[280,13309,10917],{"className":13310},[346,350],[280,13312,13314],{"className":13313},[355],[280,13315,13317],{"className":13316},[359],[280,13318,13320],{"className":13319},[364],[280,13321,13323],{"className":13322,"style":11731},[368],[280,13324,13325,13328],{"style":2740},[280,13326],{"className":13327,"style":377},[376],[280,13329,13331],{"className":13330},[381,382,383,384],[280,13332,13334,13337,13340,13343,13346,13386,13389,13392],{"className":13333},[346,384],[280,13335,316],{"className":13336},[346,384],[280,13338,1828],{"className":13339},[1906,384],[280,13341,1833],{"className":13342},[346,350,384],[280,13344,316],{"className":13345},[413,384],[280,13347,13349,13352],{"className":13348},[346,384],[280,13350,1833],{"className":13351},[346,350,384],[280,13353,13355],{"className":13354},[355],[280,13356,13358,13378],{"className":13357},[359,360],[280,13359,13361,13375],{"className":13360},[364],[280,13362,13364],{"className":13363,"style":12509},[368],[280,13365,13366,13369],{"style":12512},[280,13367],{"className":13368,"style":2471},[376],[280,13370,13372],{"className":13371},[381,2475,2476,384],[280,13373,1846],{"className":13374,"style":1972},[346,350,384],[280,13376,396],{"className":13377},[395],[280,13379,13381],{"className":13380},[364],[280,13382,13384],{"className":13383,"style":12531},[368],[280,13385],{},[280,13387,1838],{"className":13388},[1950,384],[280,13390,10924],{"className":13391},[346,384],[280,13393,13395,13398],{"className":13394},[346,384],[280,13396,9245],{"className":13397},[346,350,384],[280,13399,13401],{"className":13400},[355],[280,13402,13404,13424],{"className":13403},[359,360],[280,13405,13407,13421],{"className":13406},[364],[280,13408,13410],{"className":13409,"style":2464},[368],[280,13411,13412,13415],{"style":2467},[280,13413],{"className":13414,"style":2471},[376],[280,13416,13418],{"className":13417},[381,2475,2476,384],[280,13419,234],{"className":13420},[346,350,384],[280,13422,396],{"className":13423},[395],[280,13425,13427],{"className":13426},[364],[280,13428,13430],{"className":13429,"style":3629},[368],[280,13431],{},[280,13433],{"className":13434,"style":13435},[409],"margin-right:1em;",[280,13437,1142],{"className":13438},[13439],"mpunct",[280,13441],{"className":13442,"style":8600},[409],[280,13444,13447],{"className":13445},[346,13446],"text",[280,13448,13138],{"className":13449},[346],[280,13451,1833],{"className":13452},[346,350],[280,13454],{"className":13455,"style":576},[409],[280,13457,956],{"className":13458},[580],[280,13460],{"className":13461,"style":576},[409],[280,13463,13465,13468],{"className":13464},[337],[280,13466],{"className":13467,"style":10510},[341],[280,13469,13471,13474],{"className":13470},[346],[280,13472,1833],{"className":13473},[346,350],[280,13475,13477],{"className":13476},[355],[280,13478,13480,13500],{"className":13479},[359,360],[280,13481,13483,13497],{"className":13482},[364],[280,13484,13486],{"className":13485,"style":441},[368],[280,13487,13488,13491],{"style":1100},[280,13489],{"className":13490,"style":377},[376],[280,13492,13494],{"className":13493},[381,382,383,384],[280,13495,1846],{"className":13496,"style":1972},[346,350,384],[280,13498,396],{"className":13499},[395],[280,13501,13503],{"className":13502},[364],[280,13504,13506],{"className":13505,"style":403},[368],[280,13507],{},[3314,13509,13511],{"id":13510},"最终结果省流版","最终结果（省流版）",[246,13513,13514],{"style":248},[250,13515,13516],{},[253,13517,256,13518,256,13526],{"style":255},[258,13519,13521,256],{"style":13520},"width: 49.9%; text-align: center; border: none; padding: 0.3em; margin: 0;",[234,13522,13523],{},[264,13524],{"alt":266,"src":13525},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-14.png",[258,13527,13529,256],{"style":13528},"width: 50.1%; text-align: center; border: none; padding: 0.3em; margin: 0;",[234,13530,13531],{},[264,13532],{"alt":266,"src":13533},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-15.png",[246,13535,13536],{"style":248},[250,13537,13538],{},[253,13539,256,13540,256,13547],{"style":255},[258,13541,13542,256],{"style":270},[234,13543,13544],{},[264,13545],{"alt":266,"src":13546},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-02.png",[258,13548,13549,256],{"style":260},[234,13550,13551],{},[264,13552],{"alt":266,"src":13553},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-11.png",[234,13555,13556],{},[636,13557,13558],{},"18页是最终在准中性区的载流子分布（载流子越深入中性区，随着不断复合，其生命也在倒计时，浓度慢慢变少）",[3314,13560,3298],{"id":13561},"例题一则-1",[234,13563,13564],{},[264,13565],{"alt":266,"src":13566},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-10.png",[3314,13568,13569],{"id":13569},"思考一下",[234,13571,13572],{},[264,13573],{"alt":266,"src":13574},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture6-12.png",[3263,13576,13578,13579,13649],{"id":13577},"问题的直接回答lnl_nln-远大于典型器件尺寸","问题的直接回答：",[280,13580,13582,13600],{"className":13581},[283],[280,13583,13585],{"className":13584},[287],[289,13586,13587],{"xmlns":291},[293,13588,13589,13597],{},[296,13590,13591],{},[299,13592,13593,13595],{},[302,13594,9245],{},[302,13596,1056],{},[325,13598,13599],{"encoding":327},"L_n",[280,13601,13603],{"className":13602,"ariaHidden":333},[332],[280,13604,13606,13609],{"className":13605},[337],[280,13607],{"className":13608,"style":342},[341],[280,13610,13612,13615],{"className":13611},[346],[280,13613,9245],{"className":13614},[346,350],[280,13616,13618],{"className":13617},[355],[280,13619,13621,13641],{"className":13620},[359,360],[280,13622,13624,13638],{"className":13623},[364],[280,13625,13627],{"className":13626,"style":1097},[368],[280,13628,13629,13632],{"style":1100},[280,13630],{"className":13631,"style":377},[376],[280,13633,13635],{"className":13634},[381,382,383,384],[280,13636,1056],{"className":13637},[346,350,384],[280,13639,396],{"className":13640},[395],[280,13642,13644],{"className":13643},[364],[280,13645,13647],{"className":13646,"style":403},[368],[280,13648],{}," 远大于典型器件尺寸",[234,13651,13652,13653,13770],{},"计算结果： ",[280,13654,13656,13687],{"className":13655},[283],[280,13657,13659],{"className":13658},[287],[289,13660,13661],{"xmlns":291},[293,13662,13663,13684],{},[296,13664,13665,13671,13673,13676,13679,13681],{},[299,13666,13667,13669],{},[302,13668,9245],{},[302,13670,1056],{},[314,13672,2696],{},[958,13674,13675],{},"85",[13136,13677,13678],{}," ",[302,13680,2105],{},[13136,13682,13683],{},"m",[325,13685,13686],{"encoding":327},"L_n = 85 \\text{ }\\mu\\text{m}",[280,13688,13690,13745],{"className":13689,"ariaHidden":333},[332],[280,13691,13693,13696,13736,13739,13742],{"className":13692},[337],[280,13694],{"className":13695,"style":342},[341],[280,13697,13699,13702],{"className":13698},[346],[280,13700,9245],{"className":13701},[346,350],[280,13703,13705],{"className":13704},[355],[280,13706,13708,13728],{"className":13707},[359,360],[280,13709,13711,13725],{"className":13710},[364],[280,13712,13714],{"className":13713,"style":1097},[368],[280,13715,13716,13719],{"style":1100},[280,13717],{"className":13718,"style":377},[376],[280,13720,13722],{"className":13721},[381,382,383,384],[280,13723,1056],{"className":13724},[346,350,384],[280,13726,396],{"className":13727},[395],[280,13729,13731],{"className":13730},[364],[280,13732,13734],{"className":13733,"style":403},[368],[280,13735],{},[280,13737],{"className":13738,"style":576},[409],[280,13740,2696],{"className":13741},[580],[280,13743],{"className":13744,"style":576},[409],[280,13746,13748,13752,13755,13761,13764],{"className":13747},[337],[280,13749],{"className":13750,"style":13751},[341],"height:0.8389em;vertical-align:-0.1944em;",[280,13753,13675],{"className":13754},[346],[280,13756,13758],{"className":13757},[346,13446],[280,13759,13678],{"className":13760},[346],[280,13762,2105],{"className":13763},[346,350],[280,13765,13767],{"className":13766},[346,13446],[280,13768,13683],{"className":13769},[346]," （85微米）",[479,13772,13773,13848],{},[482,13774,13775,652,13844,13847],{},[280,13776,13778,13795],{"className":13777},[283],[280,13779,13781],{"className":13780},[287],[289,13782,13783],{"xmlns":291},[293,13784,13785,13793],{},[296,13786,13787],{},[299,13788,13789,13791],{},[302,13790,9245],{},[302,13792,1056],{},[325,13794,13599],{"encoding":327},[280,13796,13798],{"className":13797,"ariaHidden":333},[332],[280,13799,13801,13804],{"className":13800},[337],[280,13802],{"className":13803,"style":342},[341],[280,13805,13807,13810],{"className":13806},[346],[280,13808,9245],{"className":13809},[346,350],[280,13811,13813],{"className":13812},[355],[280,13814,13816,13836],{"className":13815},[359,360],[280,13817,13819,13833],{"className":13818},[364],[280,13820,13822],{"className":13821,"style":1097},[368],[280,13823,13824,13827],{"style":1100},[280,13825],{"className":13826,"style":377},[376],[280,13828,13830],{"className":13829},[381,382,383,384],[280,13831,1056],{"className":13832},[346,350,384],[280,13834,396],{"className":13835},[395],[280,13837,13839],{"className":13838},[364],[280,13840,13842],{"className":13841,"style":403},[368],[280,13843],{},[485,13845,13846],{},"(扩散长度)的含义："," 它代表在P区中，一个被注入的少数载流子（电子）在与空穴复合之前，平均可以扩散的距离。（The average distance that an injected minority carrier can diffuse before recombination.）",[482,13849,13850,13853,13854,13925,13926,14000,14001,14070,14071,2762],{},[485,13851,13852],{},"“典型器件尺寸”的含义："," 在现代集成电路（IC）中，这个尺寸指的是晶体管的沟道长度（",[280,13855,13857,13876],{"className":13856},[283],[280,13858,13860],{"className":13859},[287],[289,13861,13862],{"xmlns":291},[293,13863,13864,13873],{},[296,13865,13866],{},[299,13867,13868,13870],{},[302,13869,9245],{},[302,13871,13872],{},"g",[325,13874,13875],{"encoding":327},"L_g",[280,13877,13879],{"className":13878,"ariaHidden":333},[332],[280,13880,13882,13885],{"className":13881},[337],[280,13883],{"className":13884,"style":1075},[341],[280,13886,13888,13891],{"className":13887},[346],[280,13889,9245],{"className":13890},[346,350],[280,13892,13894],{"className":13893},[355],[280,13895,13897,13917],{"className":13896},[359,360],[280,13898,13900,13914],{"className":13899},[364],[280,13901,13903],{"className":13902,"style":1097},[368],[280,13904,13905,13908],{"style":1100},[280,13906],{"className":13907,"style":377},[376],[280,13909,13911],{"className":13910},[381,382,383,384],[280,13912,13872],{"className":13913,"style":690},[346,350,384],[280,13915,396],{"className":13916},[395],[280,13918,13920],{"className":13919},[364],[280,13921,13923],{"className":13922,"style":1119},[368],[280,13924],{},"）或P-N结的结深（",[280,13927,13929,13948],{"className":13928},[283],[280,13930,13932],{"className":13931},[287],[289,13933,13934],{"xmlns":291},[293,13935,13936,13945],{},[296,13937,13938],{},[299,13939,13940,13942],{},[302,13941,1833],{},[302,13943,13944],{},"j",[325,13946,13947],{"encoding":327},"x_j",[280,13949,13951],{"className":13950,"ariaHidden":333},[332],[280,13952,13954,13958],{"className":13953},[337],[280,13955],{"className":13956,"style":13957},[341],"height:0.7167em;vertical-align:-0.2861em;",[280,13959,13961,13964],{"className":13960},[346],[280,13962,1833],{"className":13963},[346,350],[280,13965,13967],{"className":13966},[355],[280,13968,13970,13992],{"className":13969},[359,360],[280,13971,13973,13989],{"className":13972},[364],[280,13974,13977],{"className":13975,"style":13976},[368],"height:0.3117em;",[280,13978,13979,13982],{"style":1100},[280,13980],{"className":13981,"style":377},[376],[280,13983,13985],{"className":13984},[381,382,383,384],[280,13986,13944],{"className":13987,"style":13988},[346,350,384],"margin-right:0.0572em;",[280,13990,396],{"className":13991},[395],[280,13993,13995],{"className":13994},[364],[280,13996,13998],{"className":13997,"style":1119},[368],[280,13999],{},"）。在当前的微电子技术中，这个尺寸在纳米 (nm) 到亚微米 (sub-µm) 量级。例如，一个90纳米技术节点的晶体管，其物理栅长（",[280,14002,14004,14021],{"className":14003},[283],[280,14005,14007],{"className":14006},[287],[289,14008,14009],{"xmlns":291},[293,14010,14011,14019],{},[296,14012,14013],{},[299,14014,14015,14017],{},[302,14016,9245],{},[302,14018,13872],{},[325,14020,13875],{"encoding":327},[280,14022,14024],{"className":14023,"ariaHidden":333},[332],[280,14025,14027,14030],{"className":14026},[337],[280,14028],{"className":14029,"style":1075},[341],[280,14031,14033,14036],{"className":14032},[346],[280,14034,9245],{"className":14035},[346,350],[280,14037,14039],{"className":14038},[355],[280,14040,14042,14062],{"className":14041},[359,360],[280,14043,14045,14059],{"className":14044},[364],[280,14046,14048],{"className":14047,"style":1097},[368],[280,14049,14050,14053],{"style":1100},[280,14051],{"className":14052,"style":377},[376],[280,14054,14056],{"className":14055},[381,382,383,384],[280,14057,13872],{"className":14058,"style":690},[346,350,384],[280,14060,396],{"className":14061},[395],[280,14063,14065],{"className":14064},[364],[280,14066,14068],{"className":14067,"style":1119},[368],[280,14069],{},"）仅约37纳米（即 ",[280,14072,14074,14095],{"className":14073},[283],[280,14075,14077],{"className":14076},[287],[289,14078,14079],{"xmlns":291},[293,14080,14081,14092],{},[296,14082,14083,14086,14088,14090],{},[958,14084,14085],{},"0.037",[13136,14087,13678],{},[302,14089,2105],{},[13136,14091,13683],{},[325,14093,14094],{"encoding":327},"0.037 \\text{ }\\mu\\text{m}",[280,14096,14098],{"className":14097,"ariaHidden":333},[332],[280,14099,14101,14104,14107,14113,14116],{"className":14100},[337],[280,14102],{"className":14103,"style":13751},[341],[280,14105,14085],{"className":14106},[346],[280,14108,14110],{"className":14109},[346,13446],[280,14111,13678],{"className":14112},[346],[280,14114,2105],{"className":14115},[346,350],[280,14117,14119],{"className":14118},[346,13446],[280,14120,13683],{"className":14121},[346],[231,14123,14124],{},[234,14125,14126,652,14129,14241],{},[485,14127,14128],{},"结论：",[280,14130,14132,14159],{"className":14131},[283],[280,14133,14135],{"className":14134},[287],[289,14136,14137],{"xmlns":291},[293,14138,14139,14157],{},[296,14140,14141,14147,14149,14151,14153,14155],{},[299,14142,14143,14145],{},[302,14144,9245],{},[302,14146,1056],{},[314,14148,2696],{},[958,14150,13675],{},[13136,14152,13678],{},[302,14154,2105],{},[13136,14156,13683],{},[325,14158,13686],{"encoding":327},[280,14160,14162,14217],{"className":14161,"ariaHidden":333},[332],[280,14163,14165,14168,14208,14211,14214],{"className":14164},[337],[280,14166],{"className":14167,"style":342},[341],[280,14169,14171,14174],{"className":14170},[346],[280,14172,9245],{"className":14173},[346,350],[280,14175,14177],{"className":14176},[355],[280,14178,14180,14200],{"className":14179},[359,360],[280,14181,14183,14197],{"className":14182},[364],[280,14184,14186],{"className":14185,"style":1097},[368],[280,14187,14188,14191],{"style":1100},[280,14189],{"className":14190,"style":377},[376],[280,14192,14194],{"className":14193},[381,382,383,384],[280,14195,1056],{"className":14196},[346,350,384],[280,14198,396],{"className":14199},[395],[280,14201,14203],{"className":14202},[364],[280,14204,14206],{"className":14205,"style":403},[368],[280,14207],{},[280,14209],{"className":14210,"style":576},[409],[280,14212,2696],{"className":14213},[580],[280,14215],{"className":14216,"style":576},[409],[280,14218,14220,14223,14226,14232,14235],{"className":14219},[337],[280,14221],{"className":14222,"style":13751},[341],[280,14224,13675],{"className":14225},[346],[280,14227,14229],{"className":14228},[346,13446],[280,14230,13678],{"className":14231},[346],[280,14233,2105],{"className":14234},[346,350],[280,14236,14238],{"className":14237},[346,13446],[280,14239,13683],{"className":14240},[346]," 这个距离，比一个典型器件的尺寸（\u003C 1 µm）要大几个数量级（100倍以上）",[3263,14243,14245],{"id":14244},"知识点榨干这个对比推翻了我们刚学的模型","知识点榨干：这个对比推翻了我们刚学的模型",[234,14247,14248,14249],{},"这个计算结果的最重要意义在于，它证明了我们在 Lecture 6（幻灯片 17-18, 26）中刚刚用来推导“理想二极管方程”的",[485,14250,14251],{},"“长基区二极管”（Long-base diode）假设，在实际IC器件中是完全不成立的。",[3263,14253,14255],{"id":14254},"a-长基区模型理论推导","A. “长基区”模型（理论推导）",[479,14257,14258,14539,14673,15171],{},[482,14259,14260,14262,14263,14334,14335,14404,14405,2762],{},[485,14261,3177],{}," 中性区的物理宽度 ",[280,14264,14266,14284],{"className":14265},[283],[280,14267,14269],{"className":14268},[287],[289,14270,14271],{"xmlns":291},[293,14272,14273,14281],{},[296,14274,14275],{},[299,14276,14277,14279],{},[302,14278,899],{},[302,14280,234],{},[325,14282,14283],{"encoding":327},"W_p",[280,14285,14287],{"className":14286,"ariaHidden":333},[332],[280,14288,14290,14293],{"className":14289},[337],[280,14291],{"className":14292,"style":1075},[341],[280,14294,14296,14299],{"className":14295},[346],[280,14297,899],{"className":14298,"style":915},[346,350],[280,14300,14302],{"className":14301},[355],[280,14303,14305,14326],{"className":14304},[359,360],[280,14306,14308,14323],{"className":14307},[364],[280,14309,14311],{"className":14310,"style":1097},[368],[280,14312,14314,14317],{"style":14313},"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;",[280,14315],{"className":14316,"style":377},[376],[280,14318,14320],{"className":14319},[381,382,383,384],[280,14321,234],{"className":14322},[346,350,384],[280,14324,396],{"className":14325},[395],[280,14327,14329],{"className":14328},[364],[280,14330,14332],{"className":14331,"style":1119},[368],[280,14333],{}," 远大于扩散长度 ",[280,14336,14338,14355],{"className":14337},[283],[280,14339,14341],{"className":14340},[287],[289,14342,14343],{"xmlns":291},[293,14344,14345,14353],{},[296,14346,14347],{},[299,14348,14349,14351],{},[302,14350,9245],{},[302,14352,1056],{},[325,14354,13599],{"encoding":327},[280,14356,14358],{"className":14357,"ariaHidden":333},[332],[280,14359,14361,14364],{"className":14360},[337],[280,14362],{"className":14363,"style":342},[341],[280,14365,14367,14370],{"className":14366},[346],[280,14368,9245],{"className":14369},[346,350],[280,14371,14373],{"className":14372},[355],[280,14374,14376,14396],{"className":14375},[359,360],[280,14377,14379,14393],{"className":14378},[364],[280,14380,14382],{"className":14381,"style":1097},[368],[280,14383,14384,14387],{"style":1100},[280,14385],{"className":14386,"style":377},[376],[280,14388,14390],{"className":14389},[381,382,383,384],[280,14391,1056],{"className":14392},[346,350,384],[280,14394,396],{"className":14395},[395],[280,14397,14399],{"className":14398},[364],[280,14400,14402],{"className":14401,"style":403},[368],[280,14403],{}," （即 ",[280,14406,14408,14435],{"className":14407},[283],[280,14409,14411],{"className":14410},[287],[289,14412,14413],{"xmlns":291},[293,14414,14415,14432],{},[296,14416,14417,14423,14426],{},[299,14418,14419,14421],{},[302,14420,899],{},[302,14422,234],{},[314,14424,14425],{},"≫",[299,14427,14428,14430],{},[302,14429,9245],{},[302,14431,1056],{},[325,14433,14434],{"encoding":327},"W_p \\gg L_n",[280,14436,14438,14493],{"className":14437,"ariaHidden":333},[332],[280,14439,14441,14444,14484,14487,14490],{"className":14440},[337],[280,14442],{"className":14443,"style":1075},[341],[280,14445,14447,14450],{"className":14446},[346],[280,14448,899],{"className":14449,"style":915},[346,350],[280,14451,14453],{"className":14452},[355],[280,14454,14456,14476],{"className":14455},[359,360],[280,14457,14459,14473],{"className":14458},[364],[280,14460,14462],{"className":14461,"style":1097},[368],[280,14463,14464,14467],{"style":14313},[280,14465],{"className":14466,"style":377},[376],[280,14468,14470],{"className":14469},[381,382,383,384],[280,14471,234],{"className":14472},[346,350,384],[280,14474,396],{"className":14475},[395],[280,14477,14479],{"className":14478},[364],[280,14480,14482],{"className":14481,"style":1119},[368],[280,14483],{},[280,14485],{"className":14486,"style":576},[409],[280,14488,14425],{"className":14489},[580],[280,14491],{"className":14492,"style":576},[409],[280,14494,14496,14499],{"className":14495},[337],[280,14497],{"className":14498,"style":342},[341],[280,14500,14502,14505],{"className":14501},[346],[280,14503,9245],{"className":14504},[346,350],[280,14506,14508],{"className":14507},[355],[280,14509,14511,14531],{"className":14510},[359,360],[280,14512,14514,14528],{"className":14513},[364],[280,14515,14517],{"className":14516,"style":1097},[368],[280,14518,14519,14522],{"style":1100},[280,14520],{"className":14521,"style":377},[376],[280,14523,14525],{"className":14524},[381,382,383,384],[280,14526,1056],{"className":14527},[346,350,384],[280,14529,396],{"className":14530},[395],[280,14532,14534],{"className":14533},[364],[280,14535,14537],{"className":14536,"style":403},[368],[280,14538],{},[482,14540,14541,652,14544,652,14547,652,14597,14600,14671],{},[485,14542,14543],{},"边界条件：",[636,14545,14546],{},"我们假设中性区延伸到无穷远，因此过剩载流子在",[280,14548,14550,14567],{"className":14549},[283],[280,14551,14553],{"className":14552},[287],[289,14554,14555],{"xmlns":291},[293,14556,14557,14565],{},[296,14558,14559,14561,14563],{},[302,14560,1833],{},[314,14562,1268],{},[302,14564,11233],{"mathvariant":1050},[325,14566,11236],{"encoding":327},[280,14568,14570,14588],{"className":14569,"ariaHidden":333},[332],[280,14571,14573,14576,14579,14582,14585],{"className":14572},[337],[280,14574],{"className":14575,"style":11246},[341],[280,14577,1833],{"className":14578},[346,350],[280,14580],{"className":14581,"style":576},[409],[280,14583,1268],{"className":14584},[580],[280,14586],{"className":14587,"style":576},[409],[280,14589,14591,14594],{"className":14590},[337],[280,14592],{"className":14593,"style":11246},[341],[280,14595,11233],{"className":14596},[346],[636,14598,14599],{},"处完全复合，",[280,14601,14603,14629],{"className":14602},[283],[280,14604,14606],{"className":14605},[287],[289,14607,14608],{"xmlns":291},[293,14609,14610,14626],{},[296,14611,14612,14614,14616,14618,14620,14622,14624],{},[302,14613,1051],{"mathvariant":1050},[302,14615,1056],{},[314,14617,1828],{"stretchy":1827},[302,14619,11233],{"mathvariant":1050},[314,14621,1838],{"stretchy":1827},[314,14623,2696],{},[958,14625,960],{},[325,14627,14628],{"encoding":327},"\\Delta n(\\infty) = 0",[280,14630,14632,14662],{"className":14631,"ariaHidden":333},[332],[280,14633,14635,14638,14641,14644,14647,14650,14653,14656,14659],{"className":14634},[337],[280,14636],{"className":14637,"style":1862},[341],[280,14639,1051],{"className":14640},[346],[280,14642,1056],{"className":14643},[346,350],[280,14645,1828],{"className":14646},[1906],[280,14648,11233],{"className":14649},[346],[280,14651,1838],{"className":14652},[1950],[280,14654],{"className":14655,"style":576},[409],[280,14657,2696],{"className":14658},[580],[280,14660],{"className":14661,"style":576},[409],[280,14663,14665,14668],{"className":14664},[337],[280,14666],{"className":14667,"style":1028},[341],[280,14669,960],{"className":14670},[346],[636,14672,881],{},[482,14674,14675,14678,14679,15007,15008,881],{},[485,14676,14677],{},"载流子分布："," 扩散方程 ",[280,14680,14682,14735],{"className":14681},[283],[280,14683,14685],{"className":14684},[287],[289,14686,14687],{"xmlns":291},[293,14688,14689,14733],{},[296,14690,14691,14715,14717],{},[2246,14692,14693,14705],{},[296,14694,14695,14701,14703],{},[8880,14696,14697,14699],{},[302,14698,2252],{},[958,14700,2630],{},[302,14702,1051],{"mathvariant":1050},[302,14704,1056],{},[296,14706,14707,14709],{},[302,14708,2252],{},[8880,14710,14711,14713],{},[302,14712,1833],{},[958,14714,2630],{},[314,14716,2696],{},[2246,14718,14719,14725],{},[296,14720,14721,14723],{},[302,14722,1051],{"mathvariant":1050},[302,14724,1056],{},[2622,14726,14727,14729,14731],{},[302,14728,9245],{},[302,14730,1056],{},[958,14732,2630],{},[325,14734,10118],{"encoding":327},[280,14736,14738,14882],{"className":14737,"ariaHidden":333},[332],[280,14739,14741,14744,14873,14876,14879],{"className":14740},[337],[280,14742],{"className":14743,"style":10128},[341],[280,14745,14747,14750,14870],{"className":14746},[346],[280,14748],{"className":14749},[1906,2387],[280,14751,14753],{"className":14752},[2246],[280,14754,14756,14862],{"className":14755},[359,360],[280,14757,14759,14859],{"className":14758},[364],[280,14760,14762,14805,14813],{"className":14761,"style":10147},[368],[280,14763,14764,14767],{"style":2403},[280,14765],{"className":14766,"style":2407},[376],[280,14768,14770],{"className":14769},[381,382,383,384],[280,14771,14773,14776],{"className":14772},[346,384],[280,14774,2252],{"className":14775},[346,350,384],[280,14777,14779,14782],{"className":14778},[346,384],[280,14780,1833],{"className":14781},[346,350,384],[280,14783,14785],{"className":14784},[355],[280,14786,14788],{"className":14787},[359],[280,14789,14791],{"className":14790},[364],[280,14792,14794],{"className":14793,"style":9836},[368],[280,14795,14796,14799],{"style":9839},[280,14797],{"className":14798,"style":2471},[376],[280,14800,14802],{"className":14801},[381,2475,2476,384],[280,14803,2630],{"className":14804},[346,384],[280,14806,14807,14810],{"style":2422},[280,14808],{"className":14809,"style":2407},[376],[280,14811],{"className":14812,"style":2430},[2429],[280,14814,14815,14818],{"style":10201},[280,14816],{"className":14817,"style":2407},[376],[280,14819,14821],{"className":14820},[381,382,383,384],[280,14822,14824,14853,14856],{"className":14823},[346,384],[280,14825,14827,14830],{"className":14826},[346,384],[280,14828,2252],{"className":14829},[346,350,384],[280,14831,14833],{"className":14832},[355],[280,14834,14836],{"className":14835},[359],[280,14837,14839],{"className":14838},[364],[280,14840,14842],{"className":14841,"style":9886},[368],[280,14843,14844,14847],{"style":9889},[280,14845],{"className":14846,"style":2471},[376],[280,14848,14850],{"className":14849},[381,2475,2476,384],[280,14851,2630],{"className":14852},[346,384],[280,14854,1051],{"className":14855},[346,384],[280,14857,1056],{"className":14858},[346,350,384],[280,14860,396],{"className":14861},[395],[280,14863,14865],{"className":14864},[364],[280,14866,14868],{"className":14867,"style":2501},[368],[280,14869],{},[280,14871],{"className":14872},[1950,2387],[280,14874],{"className":14875,"style":576},[409],[280,14877,2696],{"className":14878},[580],[280,14880],{"className":14881,"style":576},[409],[280,14883,14885,14888],{"className":14884},[337],[280,14886],{"className":14887,"style":10275},[341],[280,14889,14891,14894,15004],{"className":14890},[346],[280,14892],{"className":14893},[1906,2387],[280,14895,14897],{"className":14896},[2246],[280,14898,14900,14996],{"className":14899},[359,360],[280,14901,14903,14993],{"className":14902},[364],[280,14904,14906,14968,14976],{"className":14905,"style":10294},[368],[280,14907,14908,14911],{"style":2403},[280,14909],{"className":14910,"style":2407},[376],[280,14912,14914],{"className":14913},[381,382,383,384],[280,14915,14917],{"className":14916},[346,384],[280,14918,14920,14923],{"className":14919},[346,384],[280,14921,9245],{"className":14922},[346,350,384],[280,14924,14926],{"className":14925},[355],[280,14927,14929,14960],{"className":14928},[359,360],[280,14930,14932,14957],{"className":14931},[364],[280,14933,14935,14946],{"className":14934,"style":9836},[368],[280,14936,14937,14940],{"style":9984},[280,14938],{"className":14939,"style":2471},[376],[280,14941,14943],{"className":14942},[381,2475,2476,384],[280,14944,1056],{"className":14945},[346,350,384],[280,14947,14948,14951],{"style":9839},[280,14949],{"className":14950,"style":2471},[376],[280,14952,14954],{"className":14953},[381,2475,2476,384],[280,14955,2630],{"className":14956},[346,384],[280,14958,396],{"className":14959},[395],[280,14961,14963],{"className":14962},[364],[280,14964,14966],{"className":14965,"style":10355},[368],[280,14967],{},[280,14969,14970,14973],{"style":2422},[280,14971],{"className":14972,"style":2407},[376],[280,14974],{"className":14975,"style":2430},[2429],[280,14977,14978,14981],{"style":10201},[280,14979],{"className":14980,"style":2407},[376],[280,14982,14984],{"className":14983},[381,382,383,384],[280,14985,14987,14990],{"className":14986},[346,384],[280,14988,1051],{"className":14989},[346,384],[280,14991,1056],{"className":14992},[346,350,384],[280,14994,396],{"className":14995},[395],[280,14997,14999],{"className":14998},[364],[280,15000,15002],{"className":15001,"style":10392},[368],[280,15003],{},[280,15005],{"className":15006},[1950,2387]," 的解是指数衰减：",[280,15009,15011,15054],{"className":15010},[283],[280,15012,15014],{"className":15013},[287],[289,15015,15016],{"xmlns":291},[293,15017,15018,15051],{},[296,15019,15020,15022,15024,15026,15028,15030,15033],{},[302,15021,1051],{"mathvariant":1050},[302,15023,1056],{},[314,15025,1828],{"stretchy":1827},[302,15027,1833],{},[314,15029,1838],{"stretchy":1827},[314,15031,15032],{},"∝",[8880,15034,15035,15037],{},[302,15036,10917],{},[296,15038,15039,15041,15043,15045],{},[314,15040,316],{},[302,15042,1833],{},[302,15044,10924],{"mathvariant":1050},[299,15046,15047,15049],{},[302,15048,9245],{},[302,15050,1056],{},[325,15052,15053],{"encoding":327},"\\Delta n(x) \\propto e^{-x\u002FL_n}",[280,15055,15057,15087],{"className":15056,"ariaHidden":333},[332],[280,15058,15060,15063,15066,15069,15072,15075,15078,15081,15084],{"className":15059},[337],[280,15061],{"className":15062,"style":1862},[341],[280,15064,1051],{"className":15065},[346],[280,15067,1056],{"className":15068},[346,350],[280,15070,1828],{"className":15071},[1906],[280,15073,1833],{"className":15074},[346,350],[280,15076,1838],{"className":15077},[1950],[280,15079],{"className":15080,"style":576},[409],[280,15082,15032],{"className":15083},[580],[280,15085],{"className":15086,"style":576},[409],[280,15088,15090,15093],{"className":15089},[337],[280,15091],{"className":15092,"style":11731},[341],[280,15094,15096,15099],{"className":15095},[346],[280,15097,10917],{"className":15098},[346,350],[280,15100,15102],{"className":15101},[355],[280,15103,15105],{"className":15104},[359],[280,15106,15108],{"className":15107},[364],[280,15109,15111],{"className":15110,"style":11731},[368],[280,15112,15113,15116],{"style":2740},[280,15114],{"className":15115,"style":377},[376],[280,15117,15119],{"className":15118},[381,382,383,384],[280,15120,15122,15125,15128,15131],{"className":15121},[346,384],[280,15123,316],{"className":15124},[346,384],[280,15126,1833],{"className":15127},[346,350,384],[280,15129,10924],{"className":15130},[346,384],[280,15132,15134,15137],{"className":15133},[346,384],[280,15135,9245],{"className":15136},[346,350,384],[280,15138,15140],{"className":15139},[355],[280,15141,15143,15163],{"className":15142},[359,360],[280,15144,15146,15160],{"className":15145},[364],[280,15147,15149],{"className":15148,"style":2464},[368],[280,15150,15151,15154],{"style":2467},[280,15152],{"className":15153,"style":2471},[376],[280,15155,15157],{"className":15156},[381,2475,2476,384],[280,15158,1056],{"className":15159},[346,350,384],[280,15161,396],{"className":15162},[395],[280,15164,15166],{"className":15165},[364],[280,15167,15169],{"className":15168,"style":2489},[368],[280,15170],{},[482,15172,15173,15176,15177,15246,15247,881],{},[485,15174,15175],{},"电流公式："," 电流由扩散长度 ",[280,15178,15180,15197],{"className":15179},[283],[280,15181,15183],{"className":15182},[287],[289,15184,15185],{"xmlns":291},[293,15186,15187,15195],{},[296,15188,15189],{},[299,15190,15191,15193],{},[302,15192,9245],{},[302,15194,1056],{},[325,15196,13599],{"encoding":327},[280,15198,15200],{"className":15199,"ariaHidden":333},[332],[280,15201,15203,15206],{"className":15202},[337],[280,15204],{"className":15205,"style":342},[341],[280,15207,15209,15212],{"className":15208},[346],[280,15210,9245],{"className":15211},[346,350],[280,15213,15215],{"className":15214},[355],[280,15216,15218,15238],{"className":15217},[359,360],[280,15219,15221,15235],{"className":15220},[364],[280,15222,15224],{"className":15223,"style":1097},[368],[280,15225,15226,15229],{"style":1100},[280,15227],{"className":15228,"style":377},[376],[280,15230,15232],{"className":15231},[381,382,383,384],[280,15233,1056],{"className":15234},[346,350,384],[280,15236,396],{"className":15237},[395],[280,15239,15241],{"className":15240},[364],[280,15242,15244],{"className":15243,"style":403},[368],[280,15245],{}," 决定：",[280,15248,15250,15293],{"className":15249},[283],[280,15251,15253],{"className":15252},[287],[289,15254,15255],{"xmlns":291},[293,15256,15257,15290],{},[296,15258,15259,15266,15268],{},[299,15260,15261,15264],{},[302,15262,15263],{},"I",[958,15265,960],{},[314,15267,15032],{},[2246,15269,15270,15276],{},[299,15271,15272,15274],{},[302,15273,1849],{},[302,15275,1056],{},[296,15277,15278,15284],{},[299,15279,15280,15282],{},[302,15281,9245],{},[302,15283,1056],{},[299,15285,15286,15288],{},[302,15287,1846],{},[302,15289,323],{},[325,15291,15292],{"encoding":327},"I_0 \\propto \\frac{D_n}{L_n N_A}",[280,15294,15296,15353],{"className":15295,"ariaHidden":333},[332],[280,15297,15299,15302,15344,15347,15350],{"className":15298},[337],[280,15300],{"className":15301,"style":342},[341],[280,15303,15305,15309],{"className":15304},[346],[280,15306,15263],{"className":15307,"style":15308},[346,350],"margin-right:0.0785em;",[280,15310,15312],{"className":15311},[355],[280,15313,15315,15336],{"className":15314},[359,360],[280,15316,15318,15333],{"className":15317},[364],[280,15319,15321],{"className":15320,"style":7465},[368],[280,15322,15324,15327],{"style":15323},"top:-2.55em;margin-left:-0.0785em;margin-right:0.05em;",[280,15325],{"className":15326,"style":377},[376],[280,15328,15330],{"className":15329},[381,382,383,384],[280,15331,960],{"className":15332},[346,384],[280,15334,396],{"className":15335},[395],[280,15337,15339],{"className":15338},[364],[280,15340,15342],{"className":15341,"style":403},[368],[280,15343],{},[280,15345],{"className":15346,"style":576},[409],[280,15348,15032],{"className":15349},[580],[280,15351],{"className":15352,"style":576},[409],[280,15354,15356,15360],{"className":15355},[337],[280,15357],{"className":15358,"style":15359},[341],"height:1.3337em;vertical-align:-0.4453em;",[280,15361,15363,15366,15544],{"className":15362},[346],[280,15364],{"className":15365},[1906,2387],[280,15367,15369],{"className":15368},[2246],[280,15370,15372,15535],{"className":15371},[359,360],[280,15373,15375,15532],{"className":15374},[364],[280,15376,15379,15471,15479],{"className":15377,"style":15378},[368],"height:0.8884em;",[280,15380,15381,15384],{"style":2403},[280,15382],{"className":15383,"style":2407},[376],[280,15385,15387],{"className":15386},[381,382,383,384],[280,15388,15390,15430],{"className":15389},[346,384],[280,15391,15393,15396],{"className":15392},[346,384],[280,15394,9245],{"className":15395},[346,350,384],[280,15397,15399],{"className":15398},[355],[280,15400,15402,15422],{"className":15401},[359,360],[280,15403,15405,15419],{"className":15404},[364],[280,15406,15408],{"className":15407,"style":2464},[368],[280,15409,15410,15413],{"style":2467},[280,15411],{"className":15412,"style":2471},[376],[280,15414,15416],{"className":15415},[381,2475,2476,384],[280,15417,1056],{"className":15418},[346,350,384],[280,15420,396],{"className":15421},[395],[280,15423,15425],{"className":15424},[364],[280,15426,15428],{"className":15427,"style":2489},[368],[280,15429],{},[280,15431,15433,15436],{"className":15432},[346,384],[280,15434,1846],{"className":15435,"style":1972},[346,350,384],[280,15437,15439],{"className":15438},[355],[280,15440,15442,15463],{"className":15441},[359,360],[280,15443,15445,15460],{"className":15444},[364],[280,15446,15448],{"className":15447,"style":12509},[368],[280,15449,15451,15454],{"style":15450},"top:-2.3567em;margin-left:-0.109em;margin-right:0.0714em;",[280,15452],{"className":15453,"style":2471},[376],[280,15455,15457],{"className":15456},[381,2475,2476,384],[280,15458,323],{"className":15459},[346,350,384],[280,15461,396],{"className":15462},[395],[280,15464,15466],{"className":15465},[364],[280,15467,15469],{"className":15468,"style":12531},[368],[280,15470],{},[280,15472,15473,15476],{"style":2422},[280,15474],{"className":15475,"style":2407},[376],[280,15477],{"className":15478,"style":2430},[2429],[280,15480,15482,15485],{"style":15481},"top:-3.4101em;",[280,15483],{"className":15484,"style":2407},[376],[280,15486,15488],{"className":15487},[381,382,383,384],[280,15489,15491],{"className":15490},[346,384],[280,15492,15494,15497],{"className":15493},[346,384],[280,15495,1849],{"className":15496,"style":1997},[346,350,384],[280,15498,15500],{"className":15499},[355],[280,15501,15503,15524],{"className":15502},[359,360],[280,15504,15506,15521],{"className":15505},[364],[280,15507,15509],{"className":15508,"style":2464},[368],[280,15510,15512,15515],{"style":15511},"top:-2.357em;margin-left:-0.0278em;margin-right:0.0714em;",[280,15513],{"className":15514,"style":2471},[376],[280,15516,15518],{"className":15517},[381,2475,2476,384],[280,15519,1056],{"className":15520},[346,350,384],[280,15522,396],{"className":15523},[395],[280,15525,15527],{"className":15526},[364],[280,15528,15530],{"className":15529,"style":2489},[368],[280,15531],{},[280,15533,396],{"className":15534},[395],[280,15536,15538],{"className":15537},[364],[280,15539,15542],{"className":15540,"style":15541},[368],"height:0.4453em;",[280,15543],{},[280,15545],{"className":15546},[1950,2387],[3263,15548,15550,15551],{"id":15549},"b-短基区模型实际器件非重点主要看区别","B. “短基区”模型（实际器件）",[636,15552,15553],{},"（非重点，主要看区别）",[479,15555,15556,15834,15842,16037,16947],{},[482,15557,15558,14262,15561,15630,15631,14404,15700,2762],{},[485,15559,15560],{},"现实 (来自本例)：",[280,15562,15564,15581],{"className":15563},[283],[280,15565,15567],{"className":15566},[287],[289,15568,15569],{"xmlns":291},[293,15570,15571,15579],{},[296,15572,15573],{},[299,15574,15575,15577],{},[302,15576,899],{},[302,15578,234],{},[325,15580,14283],{"encoding":327},[280,15582,15584],{"className":15583,"ariaHidden":333},[332],[280,15585,15587,15590],{"className":15586},[337],[280,15588],{"className":15589,"style":1075},[341],[280,15591,15593,15596],{"className":15592},[346],[280,15594,899],{"className":15595,"style":915},[346,350],[280,15597,15599],{"className":15598},[355],[280,15600,15602,15622],{"className":15601},[359,360],[280,15603,15605,15619],{"className":15604},[364],[280,15606,15608],{"className":15607,"style":1097},[368],[280,15609,15610,15613],{"style":14313},[280,15611],{"className":15612,"style":377},[376],[280,15614,15616],{"className":15615},[381,382,383,384],[280,15617,234],{"className":15618},[346,350,384],[280,15620,396],{"className":15621},[395],[280,15623,15625],{"className":15624},[364],[280,15626,15628],{"className":15627,"style":1119},[368],[280,15629],{}," 远小于扩散长度 ",[280,15632,15634,15651],{"className":15633},[283],[280,15635,15637],{"className":15636},[287],[289,15638,15639],{"xmlns":291},[293,15640,15641,15649],{},[296,15642,15643],{},[299,15644,15645,15647],{},[302,15646,9245],{},[302,15648,1056],{},[325,15650,13599],{"encoding":327},[280,15652,15654],{"className":15653,"ariaHidden":333},[332],[280,15655,15657,15660],{"className":15656},[337],[280,15658],{"className":15659,"style":342},[341],[280,15661,15663,15666],{"className":15662},[346],[280,15664,9245],{"className":15665},[346,350],[280,15667,15669],{"className":15668},[355],[280,15670,15672,15692],{"className":15671},[359,360],[280,15673,15675,15689],{"className":15674},[364],[280,15676,15678],{"className":15677,"style":1097},[368],[280,15679,15680,15683],{"style":1100},[280,15681],{"className":15682,"style":377},[376],[280,15684,15686],{"className":15685},[381,382,383,384],[280,15687,1056],{"className":15688},[346,350,384],[280,15690,396],{"className":15691},[395],[280,15693,15695],{"className":15694},[364],[280,15696,15698],{"className":15697,"style":403},[368],[280,15699],{},[280,15701,15703,15730],{"className":15702},[283],[280,15704,15706],{"className":15705},[287],[289,15707,15708],{"xmlns":291},[293,15709,15710,15727],{},[296,15711,15712,15718,15721],{},[299,15713,15714,15716],{},[302,15715,899],{},[302,15717,234],{},[314,15719,15720],{},"≪",[299,15722,15723,15725],{},[302,15724,9245],{},[302,15726,1056],{},[325,15728,15729],{"encoding":327},"W_p \\ll L_n",[280,15731,15733,15788],{"className":15732,"ariaHidden":333},[332],[280,15734,15736,15739,15779,15782,15785],{"className":15735},[337],[280,15737],{"className":15738,"style":1075},[341],[280,15740,15742,15745],{"className":15741},[346],[280,15743,899],{"className":15744,"style":915},[346,350],[280,15746,15748],{"className":15747},[355],[280,15749,15751,15771],{"className":15750},[359,360],[280,15752,15754,15768],{"className":15753},[364],[280,15755,15757],{"className":15756,"style":1097},[368],[280,15758,15759,15762],{"style":14313},[280,15760],{"className":15761,"style":377},[376],[280,15763,15765],{"className":15764},[381,382,383,384],[280,15766,234],{"className":15767},[346,350,384],[280,15769,396],{"className":15770},[395],[280,15772,15774],{"className":15773},[364],[280,15775,15777],{"className":15776,"style":1119},[368],[280,15778],{},[280,15780],{"className":15781,"style":576},[409],[280,15783,15720],{"className":15784},[580],[280,15786],{"className":15787,"style":576},[409],[280,15789,15791,15794],{"className":15790},[337],[280,15792],{"className":15793,"style":342},[341],[280,15795,15797,15800],{"className":15796},[346],[280,15798,9245],{"className":15799},[346,350],[280,15801,15803],{"className":15802},[355],[280,15804,15806,15826],{"className":15805},[359,360],[280,15807,15809,15823],{"className":15808},[364],[280,15810,15812],{"className":15811,"style":1097},[368],[280,15813,15814,15817],{"style":1100},[280,15815],{"className":15816,"style":377},[376],[280,15818,15820],{"className":15819},[381,382,383,384],[280,15821,1056],{"className":15822},[346,350,384],[280,15824,396],{"className":15825},[395],[280,15827,15829],{"className":15828},[364],[280,15830,15832],{"className":15831,"style":403},[368],[280,15833],{},[482,15835,15836,652,15839],{},[485,15837,15838],{},"物理图像：",[636,15840,15841],{},"被注入的少数载流子（电子）还没有来得及复合，就已经扩散到了P区另一端的金属接触（Ohmic Contact）处。",[482,15843,15844,652,15847,652,15850,15962,652,15965,652,16034],{},[485,15845,15846],{},"新的边界条件：",[636,15848,15849],{},"金属接触是一个理想的复合点（具有无限的复合速率）。因此，边界条件变为",[280,15851,15853,15883],{"className":15852},[283],[280,15854,15856],{"className":15855},[287],[289,15857,15858],{"xmlns":291},[293,15859,15860,15880],{},[296,15861,15862,15864,15866,15868,15874,15876,15878],{},[302,15863,1051],{"mathvariant":1050},[302,15865,1056],{},[314,15867,1828],{"stretchy":1827},[299,15869,15870,15872],{},[302,15871,899],{},[302,15873,234],{},[314,15875,1838],{"stretchy":1827},[314,15877,1841],{},[958,15879,960],{},[325,15881,15882],{"encoding":327},"\\Delta n(W_p) \\approx 0",[280,15884,15886,15953],{"className":15885,"ariaHidden":333},[332],[280,15887,15889,15892,15895,15898,15901,15941,15944,15947,15950],{"className":15888},[337],[280,15890],{"className":15891,"style":3433},[341],[280,15893,1051],{"className":15894},[346],[280,15896,1056],{"className":15897},[346,350],[280,15899,1828],{"className":15900},[1906],[280,15902,15904,15907],{"className":15903},[346],[280,15905,899],{"className":15906,"style":915},[346,350],[280,15908,15910],{"className":15909},[355],[280,15911,15913,15933],{"className":15912},[359,360],[280,15914,15916,15930],{"className":15915},[364],[280,15917,15919],{"className":15918,"style":1097},[368],[280,15920,15921,15924],{"style":14313},[280,15922],{"className":15923,"style":377},[376],[280,15925,15927],{"className":15926},[381,382,383,384],[280,15928,234],{"className":15929},[346,350,384],[280,15931,396],{"className":15932},[395],[280,15934,15936],{"className":15935},[364],[280,15937,15939],{"className":15938,"style":1119},[368],[280,15940],{},[280,15942,1838],{"className":15943},[1950],[280,15945],{"className":15946,"style":576},[409],[280,15948,1841],{"className":15949},[580],[280,15951],{"className":15952,"style":576},[409],[280,15954,15956,15959],{"className":15955},[337],[280,15957],{"className":15958,"style":1028},[341],[280,15960,960],{"className":15961},[346],[636,15963,15964],{},"（在P区末端",[280,15966,15968,15985],{"className":15967},[283],[280,15969,15971],{"className":15970},[287],[289,15972,15973],{"xmlns":291},[293,15974,15975,15983],{},[296,15976,15977],{},[299,15978,15979,15981],{},[302,15980,899],{},[302,15982,234],{},[325,15984,14283],{"encoding":327},[280,15986,15988],{"className":15987,"ariaHidden":333},[332],[280,15989,15991,15994],{"className":15990},[337],[280,15992],{"className":15993,"style":1075},[341],[280,15995,15997,16000],{"className":15996},[346],[280,15998,899],{"className":15999,"style":915},[346,350],[280,16001,16003],{"className":16002},[355],[280,16004,16006,16026],{"className":16005},[359,360],[280,16007,16009,16023],{"className":16008},[364],[280,16010,16012],{"className":16011,"style":1097},[368],[280,16013,16014,16017],{"style":14313},[280,16015],{"className":16016,"style":377},[376],[280,16018,16020],{"className":16019},[381,382,383,384],[280,16021,234],{"className":16022},[346,350,384],[280,16024,396],{"className":16025},[395],[280,16027,16029],{"className":16028},[364],[280,16030,16032],{"className":16031,"style":1119},[368],[280,16033],{},[636,16035,16036],{},"处浓度为0）。",[482,16038,16039,16042],{},[485,16040,16041],{},"新的载流子分布：",[479,16043,16044,16250,16742,16944],{},[482,16045,16046,16047,16179,16180,16249],{},"由于 ",[280,16048,16050,16075],{"className":16049},[283],[280,16051,16053],{"className":16052},[287],[289,16054,16055],{"xmlns":291},[293,16056,16057,16073],{},[296,16058,16059,16065,16067],{},[299,16060,16061,16063],{},[302,16062,899],{},[302,16064,234],{},[314,16066,15720],{},[299,16068,16069,16071],{},[302,16070,9245],{},[302,16072,1056],{},[325,16074,15729],{"encoding":327},[280,16076,16078,16133],{"className":16077,"ariaHidden":333},[332],[280,16079,16081,16084,16124,16127,16130],{"className":16080},[337],[280,16082],{"className":16083,"style":1075},[341],[280,16085,16087,16090],{"className":16086},[346],[280,16088,899],{"className":16089,"style":915},[346,350],[280,16091,16093],{"className":16092},[355],[280,16094,16096,16116],{"className":16095},[359,360],[280,16097,16099,16113],{"className":16098},[364],[280,16100,16102],{"className":16101,"style":1097},[368],[280,16103,16104,16107],{"style":14313},[280,16105],{"className":16106,"style":377},[376],[280,16108,16110],{"className":16109},[381,382,383,384],[280,16111,234],{"className":16112},[346,350,384],[280,16114,396],{"className":16115},[395],[280,16117,16119],{"className":16118},[364],[280,16120,16122],{"className":16121,"style":1119},[368],[280,16123],{},[280,16125],{"className":16126,"style":576},[409],[280,16128,15720],{"className":16129},[580],[280,16131],{"className":16132,"style":576},[409],[280,16134,16136,16139],{"className":16135},[337],[280,16137],{"className":16138,"style":342},[341],[280,16140,16142,16145],{"className":16141},[346],[280,16143,9245],{"className":16144},[346,350],[280,16146,16148],{"className":16147},[355],[280,16149,16151,16171],{"className":16150},[359,360],[280,16152,16154,16168],{"className":16153},[364],[280,16155,16157],{"className":16156,"style":1097},[368],[280,16158,16159,16162],{"style":1100},[280,16160],{"className":16161,"style":377},[376],[280,16163,16165],{"className":16164},[381,382,383,384],[280,16166,1056],{"className":16167},[346,350,384],[280,16169,396],{"className":16170},[395],[280,16172,16174],{"className":16173},[364],[280,16175,16177],{"className":16176,"style":403},[368],[280,16178],{},"，载流子在扩散通过 ",[280,16181,16183,16200],{"className":16182},[283],[280,16184,16186],{"className":16185},[287],[289,16187,16188],{"xmlns":291},[293,16189,16190,16198],{},[296,16191,16192],{},[299,16193,16194,16196],{},[302,16195,899],{},[302,16197,234],{},[325,16199,14283],{"encoding":327},[280,16201,16203],{"className":16202,"ariaHidden":333},[332],[280,16204,16206,16209],{"className":16205},[337],[280,16207],{"className":16208,"style":1075},[341],[280,16210,16212,16215],{"className":16211},[346],[280,16213,899],{"className":16214,"style":915},[346,350],[280,16216,16218],{"className":16217},[355],[280,16219,16221,16241],{"className":16220},[359,360],[280,16222,16224,16238],{"className":16223},[364],[280,16225,16227],{"className":16226,"style":1097},[368],[280,16228,16229,16232],{"style":14313},[280,16230],{"className":16231,"style":377},[376],[280,16233,16235],{"className":16234},[381,382,383,384],[280,16236,234],{"className":16237},[346,350,384],[280,16239,396],{"className":16240},[395],[280,16242,16244],{"className":16243},[364],[280,16245,16247],{"className":16246,"style":1119},[368],[280,16248],{}," 的短暂时间内几乎不发生复合。",[482,16251,16252,16253,16581,16582,16741],{},"扩散方程 ",[280,16254,16256,16309],{"className":16255},[283],[280,16257,16259],{"className":16258},[287],[289,16260,16261],{"xmlns":291},[293,16262,16263,16307],{},[296,16264,16265,16289,16291],{},[2246,16266,16267,16279],{},[296,16268,16269,16275,16277],{},[8880,16270,16271,16273],{},[302,16272,2252],{},[958,16274,2630],{},[302,16276,1051],{"mathvariant":1050},[302,16278,1056],{},[296,16280,16281,16283],{},[302,16282,2252],{},[8880,16284,16285,16287],{},[302,16286,1833],{},[958,16288,2630],{},[314,16290,2696],{},[2246,16292,16293,16299],{},[296,16294,16295,16297],{},[302,16296,1051],{"mathvariant":1050},[302,16298,1056],{},[2622,16300,16301,16303,16305],{},[302,16302,9245],{},[302,16304,1056],{},[958,16306,2630],{},[325,16308,10118],{"encoding":327},[280,16310,16312,16456],{"className":16311,"ariaHidden":333},[332],[280,16313,16315,16318,16447,16450,16453],{"className":16314},[337],[280,16316],{"className":16317,"style":10128},[341],[280,16319,16321,16324,16444],{"className":16320},[346],[280,16322],{"className":16323},[1906,2387],[280,16325,16327],{"className":16326},[2246],[280,16328,16330,16436],{"className":16329},[359,360],[280,16331,16333,16433],{"className":16332},[364],[280,16334,16336,16379,16387],{"className":16335,"style":10147},[368],[280,16337,16338,16341],{"style":2403},[280,16339],{"className":16340,"style":2407},[376],[280,16342,16344],{"className":16343},[381,382,383,384],[280,16345,16347,16350],{"className":16346},[346,384],[280,16348,2252],{"className":16349},[346,350,384],[280,16351,16353,16356],{"className":16352},[346,384],[280,16354,1833],{"className":16355},[346,350,384],[280,16357,16359],{"className":16358},[355],[280,16360,16362],{"className":16361},[359],[280,16363,16365],{"className":16364},[364],[280,16366,16368],{"className":16367,"style":9836},[368],[280,16369,16370,16373],{"style":9839},[280,16371],{"className":16372,"style":2471},[376],[280,16374,16376],{"className":16375},[381,2475,2476,384],[280,16377,2630],{"className":16378},[346,384],[280,16380,16381,16384],{"style":2422},[280,16382],{"className":16383,"style":2407},[376],[280,16385],{"className":16386,"style":2430},[2429],[280,16388,16389,16392],{"style":10201},[280,16390],{"className":16391,"style":2407},[376],[280,16393,16395],{"className":16394},[381,382,383,384],[280,16396,16398,16427,16430],{"className":16397},[346,384],[280,16399,16401,16404],{"className":16400},[346,384],[280,16402,2252],{"className":16403},[346,350,384],[280,16405,16407],{"className":16406},[355],[280,16408,16410],{"className":16409},[359],[280,16411,16413],{"className":16412},[364],[280,16414,16416],{"className":16415,"style":9886},[368],[280,16417,16418,16421],{"style":9889},[280,16419],{"className":16420,"style":2471},[376],[280,16422,16424],{"className":16423},[381,2475,2476,384],[280,16425,2630],{"className":16426},[346,384],[280,16428,1051],{"className":16429},[346,384],[280,16431,1056],{"className":16432},[346,350,384],[280,16434,396],{"className":16435},[395],[280,16437,16439],{"className":16438},[364],[280,16440,16442],{"className":16441,"style":2501},[368],[280,16443],{},[280,16445],{"className":16446},[1950,2387],[280,16448],{"className":16449,"style":576},[409],[280,16451,2696],{"className":16452},[580],[280,16454],{"className":16455,"style":576},[409],[280,16457,16459,16462],{"className":16458},[337],[280,16460],{"className":16461,"style":10275},[341],[280,16463,16465,16468,16578],{"className":16464},[346],[280,16466],{"className":16467},[1906,2387],[280,16469,16471],{"className":16470},[2246],[280,16472,16474,16570],{"className":16473},[359,360],[280,16475,16477,16567],{"className":16476},[364],[280,16478,16480,16542,16550],{"className":16479,"style":10294},[368],[280,16481,16482,16485],{"style":2403},[280,16483],{"className":16484,"style":2407},[376],[280,16486,16488],{"className":16487},[381,382,383,384],[280,16489,16491],{"className":16490},[346,384],[280,16492,16494,16497],{"className":16493},[346,384],[280,16495,9245],{"className":16496},[346,350,384],[280,16498,16500],{"className":16499},[355],[280,16501,16503,16534],{"className":16502},[359,360],[280,16504,16506,16531],{"className":16505},[364],[280,16507,16509,16520],{"className":16508,"style":9836},[368],[280,16510,16511,16514],{"style":9984},[280,16512],{"className":16513,"style":2471},[376],[280,16515,16517],{"className":16516},[381,2475,2476,384],[280,16518,1056],{"className":16519},[346,350,384],[280,16521,16522,16525],{"style":9839},[280,16523],{"className":16524,"style":2471},[376],[280,16526,16528],{"className":16527},[381,2475,2476,384],[280,16529,2630],{"className":16530},[346,384],[280,16532,396],{"className":16533},[395],[280,16535,16537],{"className":16536},[364],[280,16538,16540],{"className":16539,"style":10355},[368],[280,16541],{},[280,16543,16544,16547],{"style":2422},[280,16545],{"className":16546,"style":2407},[376],[280,16548],{"className":16549,"style":2430},[2429],[280,16551,16552,16555],{"style":10201},[280,16553],{"className":16554,"style":2407},[376],[280,16556,16558],{"className":16557},[381,382,383,384],[280,16559,16561,16564],{"className":16560},[346,384],[280,16562,1051],{"className":16563},[346,384],[280,16565,1056],{"className":16566},[346,350,384],[280,16568,396],{"className":16569},[395],[280,16571,16573],{"className":16572},[364],[280,16574,16576],{"className":16575,"style":10392},[368],[280,16577],{},[280,16579],{"className":16580},[1950,2387]," 中的复合项 ",[280,16583,16585,16613],{"className":16584},[283],[280,16586,16588],{"className":16587},[287],[289,16589,16590],{"xmlns":291},[293,16591,16592,16610],{},[296,16593,16594],{},[2246,16595,16596,16602],{},[296,16597,16598,16600],{},[302,16599,1051],{"mathvariant":1050},[302,16601,1056],{},[2622,16603,16604,16606,16608],{},[302,16605,9245],{},[302,16607,1056],{},[958,16609,2630],{},[325,16611,16612],{"encoding":327},"\\frac{\\Delta n}{L_n^2}",[280,16614,16616],{"className":16615,"ariaHidden":333},[332],[280,16617,16619,16622],{"className":16618},[337],[280,16620],{"className":16621,"style":10275},[341],[280,16623,16625,16628,16738],{"className":16624},[346],[280,16626],{"className":16627},[1906,2387],[280,16629,16631],{"className":16630},[2246],[280,16632,16634,16730],{"className":16633},[359,360],[280,16635,16637,16727],{"className":16636},[364],[280,16638,16640,16702,16710],{"className":16639,"style":10294},[368],[280,16641,16642,16645],{"style":2403},[280,16643],{"className":16644,"style":2407},[376],[280,16646,16648],{"className":16647},[381,382,383,384],[280,16649,16651],{"className":16650},[346,384],[280,16652,16654,16657],{"className":16653},[346,384],[280,16655,9245],{"className":16656},[346,350,384],[280,16658,16660],{"className":16659},[355],[280,16661,16663,16694],{"className":16662},[359,360],[280,16664,16666,16691],{"className":16665},[364],[280,16667,16669,16680],{"className":16668,"style":9836},[368],[280,16670,16671,16674],{"style":9984},[280,16672],{"className":16673,"style":2471},[376],[280,16675,16677],{"className":16676},[381,2475,2476,384],[280,16678,1056],{"className":16679},[346,350,384],[280,16681,16682,16685],{"style":9839},[280,16683],{"className":16684,"style":2471},[376],[280,16686,16688],{"className":16687},[381,2475,2476,384],[280,16689,2630],{"className":16690},[346,384],[280,16692,396],{"className":16693},[395],[280,16695,16697],{"className":16696},[364],[280,16698,16700],{"className":16699,"style":10355},[368],[280,16701],{},[280,16703,16704,16707],{"style":2422},[280,16705],{"className":16706,"style":2407},[376],[280,16708],{"className":16709,"style":2430},[2429],[280,16711,16712,16715],{"style":10201},[280,16713],{"className":16714,"style":2407},[376],[280,16716,16718],{"className":16717},[381,382,383,384],[280,16719,16721,16724],{"className":16720},[346,384],[280,16722,1051],{"className":16723},[346,384],[280,16725,1056],{"className":16726},[346,350,384],[280,16728,396],{"className":16729},[395],[280,16731,16733],{"className":16732},[364],[280,16734,16736],{"className":16735,"style":10392},[368],[280,16737],{},[280,16739],{"className":16740},[1950,2387]," 几乎为零。",[482,16743,16744,16745,881],{},"方程简化为 ",[280,16746,16748,16788],{"className":16747},[283],[280,16749,16751],{"className":16750},[287],[289,16752,16753],{"xmlns":291},[293,16754,16755,16785],{},[296,16756,16757,16781,16783],{},[2246,16758,16759,16771],{},[296,16760,16761,16767,16769],{},[8880,16762,16763,16765],{},[302,16764,2252],{},[958,16766,2630],{},[302,16768,1051],{"mathvariant":1050},[302,16770,1056],{},[296,16772,16773,16775],{},[302,16774,2252],{},[8880,16776,16777,16779],{},[302,16778,1833],{},[958,16780,2630],{},[314,16782,1841],{},[958,16784,960],{},[325,16786,16787],{"encoding":327},"\\frac{d^2\\Delta n}{dx^2} \\approx 0",[280,16789,16791,16935],{"className":16790,"ariaHidden":333},[332],[280,16792,16794,16797,16926,16929,16932],{"className":16793},[337],[280,16795],{"className":16796,"style":10128},[341],[280,16798,16800,16803,16923],{"className":16799},[346],[280,16801],{"className":16802},[1906,2387],[280,16804,16806],{"className":16805},[2246],[280,16807,16809,16915],{"className":16808},[359,360],[280,16810,16812,16912],{"className":16811},[364],[280,16813,16815,16858,16866],{"className":16814,"style":10147},[368],[280,16816,16817,16820],{"style":2403},[280,16818],{"className":16819,"style":2407},[376],[280,16821,16823],{"className":16822},[381,382,383,384],[280,16824,16826,16829],{"className":16825},[346,384],[280,16827,2252],{"className":16828},[346,350,384],[280,16830,16832,16835],{"className":16831},[346,384],[280,16833,1833],{"className":16834},[346,350,384],[280,16836,16838],{"className":16837},[355],[280,16839,16841],{"className":16840},[359],[280,16842,16844],{"className":16843},[364],[280,16845,16847],{"className":16846,"style":9836},[368],[280,16848,16849,16852],{"style":9839},[280,16850],{"className":16851,"style":2471},[376],[280,16853,16855],{"className":16854},[381,2475,2476,384],[280,16856,2630],{"className":16857},[346,384],[280,16859,16860,16863],{"style":2422},[280,16861],{"className":16862,"style":2407},[376],[280,16864],{"className":16865,"style":2430},[2429],[280,16867,16868,16871],{"style":10201},[280,16869],{"className":16870,"style":2407},[376],[280,16872,16874],{"className":16873},[381,382,383,384],[280,16875,16877,16906,16909],{"className":16876},[346,384],[280,16878,16880,16883],{"className":16879},[346,384],[280,16881,2252],{"className":16882},[346,350,384],[280,16884,16886],{"className":16885},[355],[280,16887,16889],{"className":16888},[359],[280,16890,16892],{"className":16891},[364],[280,16893,16895],{"className":16894,"style":9886},[368],[280,16896,16897,16900],{"style":9889},[280,16898],{"className":16899,"style":2471},[376],[280,16901,16903],{"className":16902},[381,2475,2476,384],[280,16904,2630],{"className":16905},[346,384],[280,16907,1051],{"className":16908},[346,384],[280,16910,1056],{"className":16911},[346,350,384],[280,16913,396],{"className":16914},[395],[280,16916,16918],{"className":16917},[364],[280,16919,16921],{"className":16920,"style":2501},[368],[280,16922],{},[280,16924],{"className":16925},[1950,2387],[280,16927],{"className":16928,"style":576},[409],[280,16930,1841],{"className":16931},[580],[280,16933],{"className":16934,"style":576},[409],[280,16936,16938,16941],{"className":16937},[337],[280,16939],{"className":16940,"style":1028},[341],[280,16942,960],{"className":16943},[346],[482,16945,16946],{},"这个方程的解是一个线性分布，不再是指数衰减。",[482,16948,16949,16952],{},[485,16950,16951],{},"新的电流公式：",[479,16953,16954,17453,17595],{},[482,16955,16956,16957,881],{},"扩散电流 ",[280,16958,16960,17044],{"className":16959},[283],[280,16961,16963],{"className":16962},[287],[289,16964,16965],{"xmlns":291},[293,16966,16967,17041],{},[296,16968,16969,16975,16977,16979,16985,17001,17003,17005,17011],{},[299,16970,16971,16973],{},[302,16972,2029],{},[302,16974,1056],{},[314,16976,1841],{},[302,16978,667],{},[299,16980,16981,16983],{},[302,16982,1849],{},[302,16984,1056],{},[2246,16986,16987,16995],{},[296,16988,16989,16991,16993],{},[302,16990,2252],{},[302,16992,1051],{"mathvariant":1050},[302,16994,1056],{},[296,16996,16997,16999],{},[302,16998,2252],{},[302,17000,1833],{},[314,17002,1841],{},[302,17004,667],{},[299,17006,17007,17009],{},[302,17008,1849],{},[302,17010,1056],{},[2246,17012,17013,17035],{},[296,17014,17015,17017,17019,17021,17023,17029,17031,17033],{},[302,17016,1051],{"mathvariant":1050},[302,17018,1056],{},[314,17020,1828],{"stretchy":1827},[314,17022,316],{},[299,17024,17025,17027],{},[302,17026,1833],{},[302,17028,234],{},[314,17030,1838],{"stretchy":1827},[314,17032,316],{},[958,17034,960],{},[299,17036,17037,17039],{},[302,17038,899],{},[302,17040,234],{},[325,17042,17043],{"encoding":327},"J_n \\approx q D_n \\frac{d\\Delta n}{dx} \\approx q D_n \\frac{\\Delta n(-x_p) - 0}{W_p}",[280,17045,17047,17102,17239],{"className":17046,"ariaHidden":333},[332],[280,17048,17050,17053,17093,17096,17099],{"className":17049},[337],[280,17051],{"className":17052,"style":342},[341],[280,17054,17056,17059],{"className":17055},[346],[280,17057,2029],{"className":17058,"style":2044},[346,350],[280,17060,17062],{"className":17061},[355],[280,17063,17065,17085],{"className":17064},[359,360],[280,17066,17068,17082],{"className":17067},[364],[280,17069,17071],{"className":17070,"style":1097},[368],[280,17072,17073,17076],{"style":2297},[280,17074],{"className":17075,"style":377},[376],[280,17077,17079],{"className":17078},[381,382,383,384],[280,17080,1056],{"className":17081},[346,350,384],[280,17083,396],{"className":17084},[395],[280,17086,17088],{"className":17087},[364],[280,17089,17091],{"className":17090,"style":403},[368],[280,17092],{},[280,17094],{"className":17095,"style":576},[409],[280,17097,1841],{"className":17098},[580],[280,17100],{"className":17101,"style":576},[409],[280,17103,17105,17109,17112,17152,17230,17233,17236],{"className":17104},[337],[280,17106],{"className":17107,"style":17108},[341],"height:1.2251em;vertical-align:-0.345em;",[280,17110,667],{"className":17111,"style":690},[346,350],[280,17113,17115,17118],{"className":17114},[346],[280,17116,1849],{"className":17117,"style":1997},[346,350],[280,17119,17121],{"className":17120},[355],[280,17122,17124,17144],{"className":17123},[359,360],[280,17125,17127,17141],{"className":17126},[364],[280,17128,17130],{"className":17129,"style":1097},[368],[280,17131,17132,17135],{"style":2360},[280,17133],{"className":17134,"style":377},[376],[280,17136,17138],{"className":17137},[381,382,383,384],[280,17139,1056],{"className":17140},[346,350,384],[280,17142,396],{"className":17143},[395],[280,17145,17147],{"className":17146},[364],[280,17148,17150],{"className":17149,"style":403},[368],[280,17151],{},[280,17153,17155,17158,17227],{"className":17154},[346],[280,17156],{"className":17157},[1906,2387],[280,17159,17161],{"className":17160},[2246],[280,17162,17164,17219],{"className":17163},[359,360],[280,17165,17167,17216],{"className":17166},[364],[280,17168,17171,17188,17196],{"className":17169,"style":17170},[368],"height:0.8801em;",[280,17172,17173,17176],{"style":2403},[280,17174],{"className":17175,"style":2407},[376],[280,17177,17179],{"className":17178},[381,382,383,384],[280,17180,17182,17185],{"className":17181},[346,384],[280,17183,2252],{"className":17184},[346,350,384],[280,17186,1833],{"className":17187},[346,350,384],[280,17189,17190,17193],{"style":2422},[280,17191],{"className":17192,"style":2407},[376],[280,17194],{"className":17195,"style":2430},[2429],[280,17197,17198,17201],{"style":10201},[280,17199],{"className":17200,"style":2407},[376],[280,17202,17204],{"className":17203},[381,382,383,384],[280,17205,17207,17210,17213],{"className":17206},[346,384],[280,17208,2252],{"className":17209},[346,350,384],[280,17211,1051],{"className":17212},[346,384],[280,17214,1056],{"className":17215},[346,350,384],[280,17217,396],{"className":17218},[395],[280,17220,17222],{"className":17221},[364],[280,17223,17225],{"className":17224,"style":2501},[368],[280,17226],{},[280,17228],{"className":17229},[1950,2387],[280,17231],{"className":17232,"style":576},[409],[280,17234,1841],{"className":17235},[580],[280,17237],{"className":17238,"style":576},[409],[280,17240,17242,17246,17249,17289],{"className":17241},[337],[280,17243],{"className":17244,"style":17245},[341],"height:1.5746em;vertical-align:-0.5423em;",[280,17247,667],{"className":17248,"style":690},[346,350],[280,17250,17252,17255],{"className":17251},[346],[280,17253,1849],{"className":17254,"style":1997},[346,350],[280,17256,17258],{"className":17257},[355],[280,17259,17261,17281],{"className":17260},[359,360],[280,17262,17264,17278],{"className":17263},[364],[280,17265,17267],{"className":17266,"style":1097},[368],[280,17268,17269,17272],{"style":2360},[280,17270],{"className":17271,"style":377},[376],[280,17273,17275],{"className":17274},[381,382,383,384],[280,17276,1056],{"className":17277},[346,350,384],[280,17279,396],{"className":17280},[395],[280,17282,17284],{"className":17283},[364],[280,17285,17287],{"className":17286,"style":403},[368],[280,17288],{},[280,17290,17292,17295,17450],{"className":17291},[346],[280,17293],{"className":17294},[1906,2387],[280,17296,17298],{"className":17297},[2246],[280,17299,17301,17442],{"className":17300},[359,360],[280,17302,17304,17439],{"className":17303},[364],[280,17305,17307,17359,17367],{"className":17306,"style":3549},[368],[280,17308,17309,17312],{"style":2403},[280,17310],{"className":17311,"style":2407},[376],[280,17313,17315],{"className":17314},[381,382,383,384],[280,17316,17318],{"className":17317},[346,384],[280,17319,17321,17324],{"className":17320},[346,384],[280,17322,899],{"className":17323,"style":915},[346,350,384],[280,17325,17327],{"className":17326},[355],[280,17328,17330,17351],{"className":17329},[359,360],[280,17331,17333,17348],{"className":17332},[364],[280,17334,17336],{"className":17335,"style":2464},[368],[280,17337,17339,17342],{"style":17338},"top:-2.357em;margin-left:-0.1389em;margin-right:0.0714em;",[280,17340],{"className":17341,"style":2471},[376],[280,17343,17345],{"className":17344},[381,2475,2476,384],[280,17346,234],{"className":17347},[346,350,384],[280,17349,396],{"className":17350},[395],[280,17352,17354],{"className":17353},[364],[280,17355,17357],{"className":17356,"style":3629},[368],[280,17358],{},[280,17360,17361,17364],{"style":2422},[280,17362],{"className":17363,"style":2407},[376],[280,17365],{"className":17366,"style":2430},[2429],[280,17368,17369,17372],{"style":3574},[280,17370],{"className":17371,"style":2407},[376],[280,17373,17375],{"className":17374},[381,382,383,384],[280,17376,17378,17381,17384,17387,17390,17430,17433,17436],{"className":17377},[346,384],[280,17379,1051],{"className":17380},[346,384],[280,17382,1056],{"className":17383},[346,350,384],[280,17385,1828],{"className":17386},[1906,384],[280,17388,316],{"className":17389},[346,384],[280,17391,17393,17396],{"className":17392},[346,384],[280,17394,1833],{"className":17395},[346,350,384],[280,17397,17399],{"className":17398},[355],[280,17400,17402,17422],{"className":17401},[359,360],[280,17403,17405,17419],{"className":17404},[364],[280,17406,17408],{"className":17407,"style":2464},[368],[280,17409,17410,17413],{"style":2467},[280,17411],{"className":17412,"style":2471},[376],[280,17414,17416],{"className":17415},[381,2475,2476,384],[280,17417,234],{"className":17418},[346,350,384],[280,17420,396],{"className":17421},[395],[280,17423,17425],{"className":17424},[364],[280,17426,17428],{"className":17427,"style":3629},[368],[280,17429],{},[280,17431,1838],{"className":17432},[1950,384],[280,17434,316],{"className":17435},[413,384],[280,17437,960],{"className":17438},[346,384],[280,17440,396],{"className":17441},[395],[280,17443,17445],{"className":17444},[364],[280,17446,17448],{"className":17447,"style":3996},[368],[280,17449],{},[280,17451],{"className":17452},[1950,2387],[482,17454,17455,17456,17525,17526,881],{},"电流现在由物理宽度 ",[280,17457,17459,17476],{"className":17458},[283],[280,17460,17462],{"className":17461},[287],[289,17463,17464],{"xmlns":291},[293,17465,17466,17474],{},[296,17467,17468],{},[299,17469,17470,17472],{},[302,17471,899],{},[302,17473,234],{},[325,17475,14283],{"encoding":327},[280,17477,17479],{"className":17478,"ariaHidden":333},[332],[280,17480,17482,17485],{"className":17481},[337],[280,17483],{"className":17484,"style":1075},[341],[280,17486,17488,17491],{"className":17487},[346],[280,17489,899],{"className":17490,"style":915},[346,350],[280,17492,17494],{"className":17493},[355],[280,17495,17497,17517],{"className":17496},[359,360],[280,17498,17500,17514],{"className":17499},[364],[280,17501,17503],{"className":17502,"style":1097},[368],[280,17504,17505,17508],{"style":14313},[280,17506],{"className":17507,"style":377},[376],[280,17509,17511],{"className":17510},[381,382,383,384],[280,17512,234],{"className":17513},[346,350,384],[280,17515,396],{"className":17516},[395],[280,17518,17520],{"className":17519},[364],[280,17521,17523],{"className":17522,"style":1119},[368],[280,17524],{}," 决定，而不是扩散长度 ",[280,17527,17529,17546],{"className":17528},[283],[280,17530,17532],{"className":17531},[287],[289,17533,17534],{"xmlns":291},[293,17535,17536,17544],{},[296,17537,17538],{},[299,17539,17540,17542],{},[302,17541,9245],{},[302,17543,1056],{},[325,17545,13599],{"encoding":327},[280,17547,17549],{"className":17548,"ariaHidden":333},[332],[280,17550,17552,17555],{"className":17551},[337],[280,17553],{"className":17554,"style":342},[341],[280,17556,17558,17561],{"className":17557},[346],[280,17559,9245],{"className":17560},[346,350],[280,17562,17564],{"className":17563},[355],[280,17565,17567,17587],{"className":17566},[359,360],[280,17568,17570,17584],{"className":17569},[364],[280,17571,17573],{"className":17572,"style":1097},[368],[280,17574,17575,17578],{"style":1100},[280,17576],{"className":17577,"style":377},[376],[280,17579,17581],{"className":17580},[381,382,383,384],[280,17582,1056],{"className":17583},[346,350,384],[280,17585,396],{"className":17586},[395],[280,17588,17590],{"className":17589},[364],[280,17591,17593],{"className":17592,"style":403},[368],[280,17594],{},[482,17596,17597,17598,881],{},"反向饱和电流变为：",[280,17599,17601,17670],{"className":17600},[283],[280,17602,17604],{"className":17603},[287],[289,17605,17606],{"xmlns":291},[293,17607,17608,17667],{},[296,17609,17610,17616,17618,17620,17622,17630],{},[299,17611,17612,17614],{},[302,17613,15263],{},[958,17615,960],{},[314,17617,2696],{},[302,17619,323],{},[302,17621,667],{},[2622,17623,17624,17626,17628],{},[302,17625,1056],{},[302,17627,312],{},[958,17629,2630],{},[296,17631,17632,17634,17648,17650,17665],{},[314,17633,1828],{"fence":333},[2246,17635,17636,17642],{},[299,17637,17638,17640],{},[302,17639,1849],{},[302,17641,234],{},[299,17643,17644,17646],{},[302,17645,899],{},[302,17647,1846],{},[314,17649,3694],{},[2246,17651,17652,17658],{},[299,17653,17654,17656],{},[302,17655,1849],{},[302,17657,1056],{},[299,17659,17660,17662],{},[302,17661,899],{},[302,17663,17664],{},"P",[314,17666,1838],{"fence":333},[325,17668,17669],{"encoding":327},"I_0 = A q n_i^2 \\left( \\frac{D_p}{W_N} + \\frac{D_n}{W_P} \\right)",[280,17671,17673,17728],{"className":17672,"ariaHidden":333},[332],[280,17674,17676,17679,17719,17722,17725],{"className":17675},[337],[280,17677],{"className":17678,"style":342},[341],[280,17680,17682,17685],{"className":17681},[346],[280,17683,15263],{"className":17684,"style":15308},[346,350],[280,17686,17688],{"className":17687},[355],[280,17689,17691,17711],{"className":17690},[359,360],[280,17692,17694,17708],{"className":17693},[364],[280,17695,17697],{"className":17696,"style":7465},[368],[280,17698,17699,17702],{"style":15323},[280,17700],{"className":17701,"style":377},[376],[280,17703,17705],{"className":17704},[381,382,383,384],[280,17706,960],{"className":17707},[346,384],[280,17709,396],{"className":17710},[395],[280,17712,17714],{"className":17713},[364],[280,17715,17717],{"className":17716,"style":403},[368],[280,17718],{},[280,17720],{"className":17721,"style":576},[409],[280,17723,2696],{"className":17724},[580],[280,17726],{"className":17727,"style":576},[409],[280,17729,17731,17735,17738,17741,17792,17795],{"className":17730},[337],[280,17732],{"className":17733,"style":17734},[341],"height:1.8em;vertical-align:-0.65em;",[280,17736,323],{"className":17737},[346,350],[280,17739,667],{"className":17740,"style":690},[346,350],[280,17742,17744,17747],{"className":17743},[346],[280,17745,1056],{"className":17746},[346,350],[280,17748,17750],{"className":17749},[355],[280,17751,17753,17784],{"className":17752},[359,360],[280,17754,17756,17781],{"className":17755},[364],[280,17757,17759,17770],{"className":17758,"style":2725},[368],[280,17760,17761,17764],{"style":2728},[280,17762],{"className":17763,"style":377},[376],[280,17765,17767],{"className":17766},[381,382,383,384],[280,17768,312],{"className":17769},[346,350,384],[280,17771,17772,17775],{"style":2740},[280,17773],{"className":17774,"style":377},[376],[280,17776,17778],{"className":17777},[381,382,383,384],[280,17779,2630],{"className":17780},[346,384],[280,17782,396],{"className":17783},[395],[280,17785,17787],{"className":17786},[364],[280,17788,17790],{"className":17789,"style":2759},[368],[280,17791],{},[280,17793],{"className":17794,"style":8600},[409],[280,17796,17798,17805,17949,17952,17955,17958,18100],{"className":17797},[8604],[280,17799,17801],{"className":17800,"style":8609},[1906,8608],[280,17802,1828],{"className":17803},[8613,17804],"size2",[280,17806,17808,17811,17946],{"className":17807},[346],[280,17809],{"className":17810},[1906,2387],[280,17812,17814],{"className":17813},[2246],[280,17815,17817,17938],{"className":17816},[359,360],[280,17818,17820,17935],{"className":17819},[364],[280,17821,17824,17876,17884],{"className":17822,"style":17823},[368],"height:0.9857em;",[280,17825,17826,17829],{"style":2403},[280,17827],{"className":17828,"style":2407},[376],[280,17830,17832],{"className":17831},[381,382,383,384],[280,17833,17835],{"className":17834},[346,384],[280,17836,17838,17841],{"className":17837},[346,384],[280,17839,899],{"className":17840,"style":915},[346,350,384],[280,17842,17844],{"className":17843},[355],[280,17845,17847,17868],{"className":17846},[359,360],[280,17848,17850,17865],{"className":17849},[364],[280,17851,17853],{"className":17852,"style":12509},[368],[280,17854,17856,17859],{"style":17855},"top:-2.3567em;margin-left:-0.1389em;margin-right:0.0714em;",[280,17857],{"className":17858,"style":2471},[376],[280,17860,17862],{"className":17861},[381,2475,2476,384],[280,17863,1846],{"className":17864,"style":1972},[346,350,384],[280,17866,396],{"className":17867},[395],[280,17869,17871],{"className":17870},[364],[280,17872,17874],{"className":17873,"style":12531},[368],[280,17875],{},[280,17877,17878,17881],{"style":2422},[280,17879],{"className":17880,"style":2407},[376],[280,17882],{"className":17883,"style":2430},[2429],[280,17885,17886,17889],{"style":3574},[280,17887],{"className":17888,"style":2407},[376],[280,17890,17892],{"className":17891},[381,382,383,384],[280,17893,17895],{"className":17894},[346,384],[280,17896,17898,17901],{"className":17897},[346,384],[280,17899,1849],{"className":17900,"style":1997},[346,350,384],[280,17902,17904],{"className":17903},[355],[280,17905,17907,17927],{"className":17906},[359,360],[280,17908,17910,17924],{"className":17909},[364],[280,17911,17913],{"className":17912,"style":2464},[368],[280,17914,17915,17918],{"style":15511},[280,17916],{"className":17917,"style":2471},[376],[280,17919,17921],{"className":17920},[381,2475,2476,384],[280,17922,234],{"className":17923},[346,350,384],[280,17925,396],{"className":17926},[395],[280,17928,17930],{"className":17929},[364],[280,17931,17933],{"className":17932,"style":3629},[368],[280,17934],{},[280,17936,396],{"className":17937},[395],[280,17939,17941],{"className":17940},[364],[280,17942,17944],{"className":17943,"style":15541},[368],[280,17945],{},[280,17947],{"className":17948},[1950,2387],[280,17950],{"className":17951,"style":351},[409],[280,17953,3694],{"className":17954},[413],[280,17956],{"className":17957,"style":351},[409],[280,17959,17961,17964,18097],{"className":17960},[346],[280,17962],{"className":17963},[1906,2387],[280,17965,17967],{"className":17966},[2246],[280,17968,17970,18089],{"className":17969},[359,360],[280,17971,17973,18086],{"className":17972},[364],[280,17974,17976,18027,18035],{"className":17975,"style":15378},[368],[280,17977,17978,17981],{"style":2403},[280,17979],{"className":17980,"style":2407},[376],[280,17982,17984],{"className":17983},[381,382,383,384],[280,17985,17987],{"className":17986},[346,384],[280,17988,17990,17993],{"className":17989},[346,384],[280,17991,899],{"className":17992,"style":915},[346,350,384],[280,17994,17996],{"className":17995},[355],[280,17997,17999,18019],{"className":17998},[359,360],[280,18000,18002,18016],{"className":18001},[364],[280,18003,18005],{"className":18004,"style":12509},[368],[280,18006,18007,18010],{"style":17855},[280,18008],{"className":18009,"style":2471},[376],[280,18011,18013],{"className":18012},[381,2475,2476,384],[280,18014,17664],{"className":18015,"style":915},[346,350,384],[280,18017,396],{"className":18018},[395],[280,18020,18022],{"className":18021},[364],[280,18023,18025],{"className":18024,"style":12531},[368],[280,18026],{},[280,18028,18029,18032],{"style":2422},[280,18030],{"className":18031,"style":2407},[376],[280,18033],{"className":18034,"style":2430},[2429],[280,18036,18037,18040],{"style":15481},[280,18038],{"className":18039,"style":2407},[376],[280,18041,18043],{"className":18042},[381,382,383,384],[280,18044,18046],{"className":18045},[346,384],[280,18047,18049,18052],{"className":18048},[346,384],[280,18050,1849],{"className":18051,"style":1997},[346,350,384],[280,18053,18055],{"className":18054},[355],[280,18056,18058,18078],{"className":18057},[359,360],[280,18059,18061,18075],{"className":18060},[364],[280,18062,18064],{"className":18063,"style":2464},[368],[280,18065,18066,18069],{"style":15511},[280,18067],{"className":18068,"style":2471},[376],[280,18070,18072],{"className":18071},[381,2475,2476,384],[280,18073,1056],{"className":18074},[346,350,384],[280,18076,396],{"className":18077},[395],[280,18079,18081],{"className":18080},[364],[280,18082,18084],{"className":18083,"style":2489},[368],[280,18085],{},[280,18087,396],{"className":18088},[395],[280,18090,18092],{"className":18091},[364],[280,18093,18095],{"className":18094,"style":15541},[368],[280,18096],{},[280,18098],{"className":18099},[1950,2387],[280,18101,18103],{"className":18102,"style":8609},[1950,8608],[280,18104,1838],{"className":18105},[8613,17804],[241,18107,18109],{"id":18108},"六理想晶体管i-v方程p23-27","六、理想晶体管I-V方程（P23-27）",[231,18111,18112],{},[234,18113,18114],{},"在理想二极管中，正向电流由注入到准中性区的少数载流子扩散并复合所驱动。电流大小随外加电压呈指数增长。",[3314,18116,18118],{"id":18117},"理想二极管假设-page-24","理想二极管假设 (Page 24)",[1699,18120],{},[3314,18122,18124],{"id":18123},"推导逻辑-page-25-26","推导逻辑 (Page 25-26)",[234,18126,18127,18128,18305,18306,18481,18482,18552,18553,18622],{},"根据假设4，耗尽区内 ",[280,18129,18131,18165],{"className":18130},[283],[280,18132,18134],{"className":18133},[287],[289,18135,18136],{"xmlns":291},[293,18137,18138,18162],{},[296,18139,18140,18158,18160],{},[2246,18141,18142,18152],{},[296,18143,18144,18146],{},[302,18145,2252],{},[299,18147,18148,18150],{},[302,18149,2029],{},[302,18151,1056],{},[296,18153,18154,18156],{},[302,18155,2252],{},[302,18157,1833],{},[314,18159,2696],{},[958,18161,960],{},[325,18163,18164],{"encoding":327},"\\frac{dJ_n}{dx}=0",[280,18166,18168,18296],{"className":18167,"ariaHidden":333},[332],[280,18169,18171,18175,18287,18290,18293],{"className":18170},[337],[280,18172],{"className":18173,"style":18174},[341],"height:1.2412em;vertical-align:-0.345em;",[280,18176,18178,18181,18284],{"className":18177},[346],[280,18179],{"className":18180},[1906,2387],[280,18182,18184],{"className":18183},[2246],[280,18185,18187,18276],{"className":18186},[359,360],[280,18188,18190,18273],{"className":18189},[364],[280,18191,18194,18211,18219],{"className":18192,"style":18193},[368],"height:0.8962em;",[280,18195,18196,18199],{"style":2403},[280,18197],{"className":18198,"style":2407},[376],[280,18200,18202],{"className":18201},[381,382,383,384],[280,18203,18205,18208],{"className":18204},[346,384],[280,18206,2252],{"className":18207},[346,350,384],[280,18209,1833],{"className":18210},[346,350,384],[280,18212,18213,18216],{"style":2422},[280,18214],{"className":18215,"style":2407},[376],[280,18217],{"className":18218,"style":2430},[2429],[280,18220,18221,18224],{"style":15481},[280,18222],{"className":18223,"style":2407},[376],[280,18225,18227],{"className":18226},[381,382,383,384],[280,18228,18230,18233],{"className":18229},[346,384],[280,18231,2252],{"className":18232},[346,350,384],[280,18234,18236,18239],{"className":18235},[346,384],[280,18237,2029],{"className":18238,"style":2044},[346,350,384],[280,18240,18242],{"className":18241},[355],[280,18243,18245,18265],{"className":18244},[359,360],[280,18246,18248,18262],{"className":18247},[364],[280,18249,18251],{"className":18250,"style":2464},[368],[280,18252,18253,18256],{"style":3610},[280,18254],{"className":18255,"style":2471},[376],[280,18257,18259],{"className":18258},[381,2475,2476,384],[280,18260,1056],{"className":18261},[346,350,384],[280,18263,396],{"className":18264},[395],[280,18266,18268],{"className":18267},[364],[280,18269,18271],{"className":18270,"style":2489},[368],[280,18272],{},[280,18274,396],{"className":18275},[395],[280,18277,18279],{"className":18278},[364],[280,18280,18282],{"className":18281,"style":2501},[368],[280,18283],{},[280,18285],{"className":18286},[1950,2387],[280,18288],{"className":18289,"style":576},[409],[280,18291,2696],{"className":18292},[580],[280,18294],{"className":18295,"style":576},[409],[280,18297,18299,18302],{"className":18298},[337],[280,18300],{"className":18301,"style":1028},[341],[280,18303,960],{"className":18304},[346]," 且 ",[280,18307,18309,18343],{"className":18308},[283],[280,18310,18312],{"className":18311},[287],[289,18313,18314],{"xmlns":291},[293,18315,18316,18340],{},[296,18317,18318,18336,18338],{},[2246,18319,18320,18330],{},[296,18321,18322,18324],{},[302,18323,2252],{},[299,18325,18326,18328],{},[302,18327,2029],{},[302,18329,234],{},[296,18331,18332,18334],{},[302,18333,2252],{},[302,18335,1833],{},[314,18337,2696],{},[958,18339,960],{},[325,18341,18342],{"encoding":327},"\\frac{dJ_p}{dx}=0",[280,18344,18346,18472],{"className":18345,"ariaHidden":333},[332],[280,18347,18349,18352,18463,18466,18469],{"className":18348},[337],[280,18350],{"className":18351,"style":6449},[341],[280,18353,18355,18358,18460],{"className":18354},[346],[280,18356],{"className":18357},[1906,2387],[280,18359,18361],{"className":18360},[2246],[280,18362,18364,18452],{"className":18363},[359,360],[280,18365,18367,18449],{"className":18366},[364],[280,18368,18370,18387,18395],{"className":18369,"style":6471},[368],[280,18371,18372,18375],{"style":2403},[280,18373],{"className":18374,"style":2407},[376],[280,18376,18378],{"className":18377},[381,382,383,384],[280,18379,18381,18384],{"className":18380},[346,384],[280,18382,2252],{"className":18383},[346,350,384],[280,18385,1833],{"className":18386},[346,350,384],[280,18388,18389,18392],{"style":2422},[280,18390],{"className":18391,"style":2407},[376],[280,18393],{"className":18394,"style":2430},[2429],[280,18396,18397,18400],{"style":3574},[280,18398],{"className":18399,"style":2407},[376],[280,18401,18403],{"className":18402},[381,382,383,384],[280,18404,18406,18409],{"className":18405},[346,384],[280,18407,2252],{"className":18408},[346,350,384],[280,18410,18412,18415],{"className":18411},[346,384],[280,18413,2029],{"className":18414,"style":2044},[346,350,384],[280,18416,18418],{"className":18417},[355],[280,18419,18421,18441],{"className":18420},[359,360],[280,18422,18424,18438],{"className":18423},[364],[280,18425,18427],{"className":18426,"style":2464},[368],[280,18428,18429,18432],{"style":3610},[280,18430],{"className":18431,"style":2471},[376],[280,18433,18435],{"className":18434},[381,2475,2476,384],[280,18436,234],{"className":18437},[346,350,384],[280,18439,396],{"className":18440},[395],[280,18442,18444],{"className":18443},[364],[280,18445,18447],{"className":18446,"style":3629},[368],[280,18448],{},[280,18450,396],{"className":18451},[395],[280,18453,18455],{"className":18454},[364],[280,18456,18458],{"className":18457,"style":2501},[368],[280,18459],{},[280,18461],{"className":18462},[1950,2387],[280,18464],{"className":18465,"style":576},[409],[280,18467,2696],{"className":18468},[580],[280,18470],{"className":18471,"style":576},[409],[280,18473,18475,18478],{"className":18474},[337],[280,18476],{"className":18477,"style":1028},[341],[280,18479,960],{"className":18480},[346]," 。这意味着 ",[280,18483,18485,18503],{"className":18484},[283],[280,18486,18488],{"className":18487},[287],[289,18489,18490],{"xmlns":291},[293,18491,18492,18500],{},[296,18493,18494],{},[299,18495,18496,18498],{},[302,18497,2029],{},[302,18499,1056],{},[325,18501,18502],{"encoding":327},"J_n",[280,18504,18506],{"className":18505,"ariaHidden":333},[332],[280,18507,18509,18512],{"className":18508},[337],[280,18510],{"className":18511,"style":342},[341],[280,18513,18515,18518],{"className":18514},[346],[280,18516,2029],{"className":18517,"style":2044},[346,350],[280,18519,18521],{"className":18520},[355],[280,18522,18524,18544],{"className":18523},[359,360],[280,18525,18527,18541],{"className":18526},[364],[280,18528,18530],{"className":18529,"style":1097},[368],[280,18531,18532,18535],{"style":2297},[280,18533],{"className":18534,"style":377},[376],[280,18536,18538],{"className":18537},[381,382,383,384],[280,18539,1056],{"className":18540},[346,350,384],[280,18542,396],{"className":18543},[395],[280,18545,18547],{"className":18546},[364],[280,18548,18550],{"className":18549,"style":403},[368],[280,18551],{}," 和 ",[280,18554,18556,18573],{"className":18555},[283],[280,18557,18559],{"className":18558},[287],[289,18560,18561],{"xmlns":291},[293,18562,18563,18571],{},[296,18564,18565],{},[299,18566,18567,18569],{},[302,18568,2029],{},[302,18570,234],{},[325,18572,6632],{"encoding":327},[280,18574,18576],{"className":18575,"ariaHidden":333},[332],[280,18577,18579,18582],{"className":18578},[337],[280,18580],{"className":18581,"style":1075},[341],[280,18583,18585,18588],{"className":18584},[346],[280,18586,2029],{"className":18587,"style":2044},[346,350],[280,18589,18591],{"className":18590},[355],[280,18592,18594,18614],{"className":18593},[359,360],[280,18595,18597,18611],{"className":18596},[364],[280,18598,18600],{"className":18599,"style":1097},[368],[280,18601,18602,18605],{"style":2297},[280,18603],{"className":18604,"style":377},[376],[280,18606,18608],{"className":18607},[381,382,383,384],[280,18609,234],{"className":18610},[346,350,384],[280,18612,396],{"className":18613},[395],[280,18615,18617],{"className":18616},[364],[280,18618,18620],{"className":18619,"style":1119},[368],[280,18621],{}," 各自恒定地穿过耗尽区。",[234,18624,18625,18626,18654],{},"因此，总电流 ",[280,18627,18629,18642],{"className":18628},[283],[280,18630,18632],{"className":18631},[287],[289,18633,18634],{"xmlns":291},[293,18635,18636,18640],{},[296,18637,18638],{},[302,18639,2029],{},[325,18641,2029],{"encoding":327},[280,18643,18645],{"className":18644,"ariaHidden":333},[332],[280,18646,18648,18651],{"className":18647},[337],[280,18649],{"className":18650,"style":911},[341],[280,18652,2029],{"className":18653,"style":2044},[346,350]," (在整个器件中都恒定 )，等于耗尽区边界处的少数载流子扩散电流之和：",[280,18656,18658],{"className":18657},[4205],[280,18659,18661,18726],{"className":18660},[283],[280,18662,18664],{"className":18663},[287],[289,18665,18666],{"xmlns":291,"display":4214},[293,18667,18668,18723],{},[296,18669,18670,18672,18674,18680,18682,18685,18687,18689,18691,18697,18699,18701,18707,18709,18711,18713,18715,18721],{},[302,18671,2029],{},[314,18673,2696],{},[299,18675,18676,18678],{},[302,18677,2029],{},[302,18679,1056],{},[314,18681,1828],{"stretchy":1827},[13136,18683,18684],{},"at ",[302,18686,1833],{},[314,18688,2696],{},[314,18690,316],{},[299,18692,18693,18695],{},[302,18694,1833],{},[302,18696,234],{},[314,18698,1838],{"stretchy":1827},[314,18700,3694],{},[299,18702,18703,18705],{},[302,18704,2029],{},[302,18706,234],{},[314,18708,1828],{"stretchy":1827},[13136,18710,18684],{},[302,18712,1833],{},[314,18714,2696],{},[299,18716,18717,18719],{},[302,18718,1833],{},[302,18720,1056],{},[314,18722,1838],{"stretchy":1827},[325,18724,18725],{"encoding":327},"J = J_n(\\text{at } x=-x_p) + J_p(\\text{at } x=x_n)",[280,18727,18729,18747,18814,18875,18942],{"className":18728,"ariaHidden":333},[332],[280,18730,18732,18735,18738,18741,18744],{"className":18731},[337],[280,18733],{"className":18734,"style":911},[341],[280,18736,2029],{"className":18737,"style":2044},[346,350],[280,18739],{"className":18740,"style":576},[409],[280,18742,2696],{"className":18743},[580],[280,18745],{"className":18746,"style":576},[409],[280,18748,18750,18753,18793,18796,18802,18805,18808,18811],{"className":18749},[337],[280,18751],{"className":18752,"style":1862},[341],[280,18754,18756,18759],{"className":18755},[346],[280,18757,2029],{"className":18758,"style":2044},[346,350],[280,18760,18762],{"className":18761},[355],[280,18763,18765,18785],{"className":18764},[359,360],[280,18766,18768,18782],{"className":18767},[364],[280,18769,18771],{"className":18770,"style":1097},[368],[280,18772,18773,18776],{"style":2297},[280,18774],{"className":18775,"style":377},[376],[280,18777,18779],{"className":18778},[381,382,383,384],[280,18780,1056],{"className":18781},[346,350,384],[280,18783,396],{"className":18784},[395],[280,18786,18788],{"className":18787},[364],[280,18789,18791],{"className":18790,"style":403},[368],[280,18792],{},[280,18794,1828],{"className":18795},[1906],[280,18797,18799],{"className":18798},[346,13446],[280,18800,18684],{"className":18801},[346],[280,18803,1833],{"className":18804},[346,350],[280,18806],{"className":18807,"style":576},[409],[280,18809,2696],{"className":18810},[580],[280,18812],{"className":18813,"style":576},[409],[280,18815,18817,18820,18823,18863,18866,18869,18872],{"className":18816},[337],[280,18818],{"className":18819,"style":3433},[341],[280,18821,316],{"className":18822},[346],[280,18824,18826,18829],{"className":18825},[346],[280,18827,1833],{"className":18828},[346,350],[280,18830,18832],{"className":18831},[355],[280,18833,18835,18855],{"className":18834},[359,360],[280,18836,18838,18852],{"className":18837},[364],[280,18839,18841],{"className":18840,"style":1097},[368],[280,18842,18843,18846],{"style":1100},[280,18844],{"className":18845,"style":377},[376],[280,18847,18849],{"className":18848},[381,382,383,384],[280,18850,234],{"className":18851},[346,350,384],[280,18853,396],{"className":18854},[395],[280,18856,18858],{"className":18857},[364],[280,18859,18861],{"className":18860,"style":1119},[368],[280,18862],{},[280,18864,1838],{"className":18865},[1950],[280,18867],{"className":18868,"style":351},[409],[280,18870,3694],{"className":18871},[413],[280,18873],{"className":18874,"style":351},[409],[280,18876,18878,18881,18921,18924,18930,18933,18936,18939],{"className":18877},[337],[280,18879],{"className":18880,"style":3433},[341],[280,18882,18884,18887],{"className":18883},[346],[280,18885,2029],{"className":18886,"style":2044},[346,350],[280,18888,18890],{"className":18889},[355],[280,18891,18893,18913],{"className":18892},[359,360],[280,18894,18896,18910],{"className":18895},[364],[280,18897,18899],{"className":18898,"style":1097},[368],[280,18900,18901,18904],{"style":2297},[280,18902],{"className":18903,"style":377},[376],[280,18905,18907],{"className":18906},[381,382,383,384],[280,18908,234],{"className":18909},[346,350,384],[280,18911,396],{"className":18912},[395],[280,18914,18916],{"className":18915},[364],[280,18917,18919],{"className":18918,"style":1119},[368],[280,18920],{},[280,18922,1828],{"className":18923},[1906],[280,18925,18927],{"className":18926},[346,13446],[280,18928,18684],{"className":18929},[346],[280,18931,1833],{"className":18932},[346,350],[280,18934],{"className":18935,"style":576},[409],[280,18937,2696],{"className":18938},[580],[280,18940],{"className":18941,"style":576},[409],[280,18943,18945,18948,18988],{"className":18944},[337],[280,18946],{"className":18947,"style":1862},[341],[280,18949,18951,18954],{"className":18950},[346],[280,18952,1833],{"className":18953},[346,350],[280,18955,18957],{"className":18956},[355],[280,18958,18960,18980],{"className":18959},[359,360],[280,18961,18963,18977],{"className":18962},[364],[280,18964,18966],{"className":18965,"style":1097},[368],[280,18967,18968,18971],{"style":1100},[280,18969],{"className":18970,"style":377},[376],[280,18972,18974],{"className":18973},[381,382,383,384],[280,18975,1056],{"className":18976},[346,350,384],[280,18978,396],{"className":18979},[395],[280,18981,18983],{"className":18982},[364],[280,18984,18986],{"className":18985,"style":403},[368],[280,18987],{},[280,18989,1838],{"className":18990},[1950],[234,18992,18993],{},"我们来计算这两个分量：",[3263,18995,18997,18998,18997,19124],{"id":18996},"计算-jpxnj_px_njpxn计算-jnxpj_n-x_pjnxp","计算 ",[280,18999,19001,19029],{"className":19000},[283],[280,19002,19004],{"className":19003},[287],[289,19005,19006],{"xmlns":291},[293,19007,19008,19026],{},[296,19009,19010,19016,19018,19024],{},[299,19011,19012,19014],{},[302,19013,2029],{},[302,19015,234],{},[314,19017,1828],{"stretchy":1827},[299,19019,19020,19022],{},[302,19021,1833],{},[302,19023,1056],{},[314,19025,1838],{"stretchy":1827},[325,19027,19028],{"encoding":327},"J_p(x_n)",[280,19030,19032],{"className":19031,"ariaHidden":333},[332],[280,19033,19035,19038,19078,19081,19121],{"className":19034},[337],[280,19036],{"className":19037,"style":3433},[341],[280,19039,19041,19044],{"className":19040},[346],[280,19042,2029],{"className":19043,"style":2044},[346,350],[280,19045,19047],{"className":19046},[355],[280,19048,19050,19070],{"className":19049},[359,360],[280,19051,19053,19067],{"className":19052},[364],[280,19054,19056],{"className":19055,"style":1097},[368],[280,19057,19058,19061],{"style":2297},[280,19059],{"className":19060,"style":377},[376],[280,19062,19064],{"className":19063},[381,382,383,384],[280,19065,234],{"className":19066},[346,350,384],[280,19068,396],{"className":19069},[395],[280,19071,19073],{"className":19072},[364],[280,19074,19076],{"className":19075,"style":1119},[368],[280,19077],{},[280,19079,1828],{"className":19080},[1906],[280,19082,19084,19087],{"className":19083},[346],[280,19085,1833],{"className":19086},[346,350],[280,19088,19090],{"className":19089},[355],[280,19091,19093,19113],{"className":19092},[359,360],[280,19094,19096,19110],{"className":19095},[364],[280,19097,19099],{"className":19098,"style":1097},[368],[280,19100,19101,19104],{"style":1100},[280,19102],{"className":19103,"style":377},[376],[280,19105,19107],{"className":19106},[381,382,383,384],[280,19108,1056],{"className":19109},[346,350,384],[280,19111,396],{"className":19112},[395],[280,19114,19116],{"className":19115},[364],[280,19117,19119],{"className":19118,"style":403},[368],[280,19120],{},[280,19122,1838],{"className":19123},[1950],[280,19125,19127,19157],{"className":19126},[283],[280,19128,19130],{"className":19129},[287],[289,19131,19132],{"xmlns":291},[293,19133,19134,19154],{},[296,19135,19136,19142,19144,19146,19152],{},[299,19137,19138,19140],{},[302,19139,2029],{},[302,19141,1056],{},[314,19143,1828],{"stretchy":1827},[314,19145,316],{},[299,19147,19148,19150],{},[302,19149,1833],{},[302,19151,234],{},[314,19153,1838],{"stretchy":1827},[325,19155,19156],{"encoding":327},"J_n(-x_p)",[280,19158,19160],{"className":19159,"ariaHidden":333},[332],[280,19161,19163,19166,19206,19209,19212,19252],{"className":19162},[337],[280,19164],{"className":19165,"style":3433},[341],[280,19167,19169,19172],{"className":19168},[346],[280,19170,2029],{"className":19171,"style":2044},[346,350],[280,19173,19175],{"className":19174},[355],[280,19176,19178,19198],{"className":19177},[359,360],[280,19179,19181,19195],{"className":19180},[364],[280,19182,19184],{"className":19183,"style":1097},[368],[280,19185,19186,19189],{"style":2297},[280,19187],{"className":19188,"style":377},[376],[280,19190,19192],{"className":19191},[381,382,383,384],[280,19193,1056],{"className":19194},[346,350,384],[280,19196,396],{"className":19197},[395],[280,19199,19201],{"className":19200},[364],[280,19202,19204],{"className":19203,"style":403},[368],[280,19205],{},[280,19207,1828],{"className":19208},[1906],[280,19210,316],{"className":19211},[346],[280,19213,19215,19218],{"className":19214},[346],[280,19216,1833],{"className":19217},[346,350],[280,19219,19221],{"className":19220},[355],[280,19222,19224,19244],{"className":19223},[359,360],[280,19225,19227,19241],{"className":19226},[364],[280,19228,19230],{"className":19229,"style":1097},[368],[280,19231,19232,19235],{"style":1100},[280,19233],{"className":19234,"style":377},[376],[280,19236,19238],{"className":19237},[381,382,383,384],[280,19239,234],{"className":19240},[346,350,384],[280,19242,396],{"className":19243},[395],[280,19245,19247],{"className":19246},[364],[280,19248,19250],{"className":19249,"style":1119},[368],[280,19251],{},[280,19253,1838],{"className":19254},[1950],[280,19256,19258],{"className":19257},[4205],[280,19259,19261,19334],{"className":19260},[283],[280,19262,19264],{"className":19263},[287],[289,19265,19266],{"xmlns":291,"display":4214},[293,19267,19268,19331],{},[296,19269,19270,19276,19278,19284,19286,19288,19290,19292,19298,19314],{},[299,19271,19272,19274],{},[302,19273,2029],{},[302,19275,234],{},[314,19277,1828],{"stretchy":1827},[299,19279,19280,19282],{},[302,19281,1833],{},[302,19283,1056],{},[314,19285,1838],{"stretchy":1827},[314,19287,2696],{},[314,19289,316],{},[302,19291,667],{},[299,19293,19294,19296],{},[302,19295,1849],{},[302,19297,234],{},[2246,19299,19300,19308],{},[296,19301,19302,19304,19306],{},[302,19303,2252],{},[302,19305,1051],{"mathvariant":1050},[302,19307,234],{},[296,19309,19310,19312],{},[302,19311,2252],{},[302,19313,1833],{},[299,19315,19316,19319],{},[302,19317,19318],{"mathvariant":1050},"∣",[296,19320,19321,19323,19325],{},[302,19322,1833],{},[314,19324,2696],{},[299,19326,19327,19329],{},[302,19328,1833],{},[302,19330,1056],{},[325,19332,19333],{"encoding":327},"J_p(x_n) = -qD_p \\frac{d\\Delta p}{dx}|_{x=x_n}",[280,19335,19337,19438],{"className":19336,"ariaHidden":333},[332],[280,19338,19340,19343,19383,19386,19426,19429,19432,19435],{"className":19339},[337],[280,19341],{"className":19342,"style":3433},[341],[280,19344,19346,19349],{"className":19345},[346],[280,19347,2029],{"className":19348,"style":2044},[346,350],[280,19350,19352],{"className":19351},[355],[280,19353,19355,19375],{"className":19354},[359,360],[280,19356,19358,19372],{"className":19357},[364],[280,19359,19361],{"className":19360,"style":1097},[368],[280,19362,19363,19366],{"style":2297},[280,19364],{"className":19365,"style":377},[376],[280,19367,19369],{"className":19368},[381,382,383,384],[280,19370,234],{"className":19371},[346,350,384],[280,19373,396],{"className":19374},[395],[280,19376,19378],{"className":19377},[364],[280,19379,19381],{"className":19380,"style":1119},[368],[280,19382],{},[280,19384,1828],{"className":19385},[1906],[280,19387,19389,19392],{"className":19388},[346],[280,19390,1833],{"className":19391},[346,350],[280,19393,19395],{"className":19394},[355],[280,19396,19398,19418],{"className":19397},[359,360],[280,19399,19401,19415],{"className":19400},[364],[280,19402,19404],{"className":19403,"style":1097},[368],[280,19405,19406,19409],{"style":1100},[280,19407],{"className":19408,"style":377},[376],[280,19410,19412],{"className":19411},[381,382,383,384],[280,19413,1056],{"className":19414},[346,350,384],[280,19416,396],{"className":19417},[395],[280,19419,19421],{"className":19420},[364],[280,19422,19424],{"className":19423,"style":403},[368],[280,19425],{},[280,19427,1838],{"className":19428},[1950],[280,19430],{"className":19431,"style":576},[409],[280,19433,2696],{"className":19434},[580],[280,19436],{"className":19437,"style":576},[409],[280,19439,19441,19444,19447,19450,19490,19561],{"className":19440},[337],[280,19442],{"className":19443,"style":6169},[341],[280,19445,316],{"className":19446},[346],[280,19448,667],{"className":19449,"style":690},[346,350],[280,19451,19453,19456],{"className":19452},[346],[280,19454,1849],{"className":19455,"style":1997},[346,350],[280,19457,19459],{"className":19458},[355],[280,19460,19462,19482],{"className":19461},[359,360],[280,19463,19465,19479],{"className":19464},[364],[280,19466,19468],{"className":19467,"style":1097},[368],[280,19469,19470,19473],{"style":2360},[280,19471],{"className":19472,"style":377},[376],[280,19474,19476],{"className":19475},[381,382,383,384],[280,19477,234],{"className":19478},[346,350,384],[280,19480,396],{"className":19481},[395],[280,19483,19485],{"className":19484},[364],[280,19486,19488],{"className":19487,"style":1119},[368],[280,19489],{},[280,19491,19493,19496,19558],{"className":19492},[346],[280,19494],{"className":19495},[1906,2387],[280,19497,19499],{"className":19498},[2246],[280,19500,19502,19550],{"className":19501},[359,360],[280,19503,19505,19547],{"className":19504},[364],[280,19506,19508,19522,19530],{"className":19507,"style":6191},[368],[280,19509,19510,19513],{"style":4331},[280,19511],{"className":19512,"style":2407},[376],[280,19514,19516,19519],{"className":19515},[346],[280,19517,2252],{"className":19518},[346,350],[280,19520,1833],{"className":19521},[346,350],[280,19523,19524,19527],{"style":2422},[280,19525],{"className":19526,"style":2407},[376],[280,19528],{"className":19529,"style":2430},[2429],[280,19531,19532,19535],{"style":4351},[280,19533],{"className":19534,"style":2407},[376],[280,19536,19538,19541,19544],{"className":19537},[346],[280,19539,2252],{"className":19540},[346,350],[280,19542,1051],{"className":19543},[346],[280,19545,234],{"className":19546},[346,350],[280,19548,396],{"className":19549},[395],[280,19551,19553],{"className":19552},[364],[280,19554,19556],{"className":19555,"style":5519},[368],[280,19557],{},[280,19559],{"className":19560},[1950,2387],[280,19562,19564,19567],{"className":19563},[346],[280,19565,19318],{"className":19566},[346],[280,19568,19570],{"className":19569},[355],[280,19571,19573,19639],{"className":19572},[359,360],[280,19574,19576,19636],{"className":19575},[364],[280,19577,19579],{"className":19578,"style":1097},[368],[280,19580,19581,19584],{"style":1100},[280,19582],{"className":19583,"style":377},[376],[280,19585,19587],{"className":19586},[381,382,383,384],[280,19588,19590,19593,19596],{"className":19589},[346,384],[280,19591,1833],{"className":19592},[346,350,384],[280,19594,2696],{"className":19595},[580,384],[280,19597,19599,19602],{"className":19598},[346,384],[280,19600,1833],{"className":19601},[346,350,384],[280,19603,19605],{"className":19604},[355],[280,19606,19608,19628],{"className":19607},[359,360],[280,19609,19611,19625],{"className":19610},[364],[280,19612,19614],{"className":19613,"style":2464},[368],[280,19615,19616,19619],{"style":2467},[280,19617],{"className":19618,"style":2471},[376],[280,19620,19622],{"className":19621},[381,2475,2476,384],[280,19623,1056],{"className":19624},[346,350,384],[280,19626,396],{"className":19627},[395],[280,19629,19631],{"className":19630},[364],[280,19632,19634],{"className":19633,"style":2489},[368],[280,19635],{},[280,19637,396],{"className":19638},[395],[280,19640,19642],{"className":19641},[364],[280,19643,19646],{"className":19644,"style":19645},[368],"height:0.2501em;",[280,19647],{},[280,19649,19651],{"className":19650},[4205],[280,19652,19654,19772],{"className":19653},[283],[280,19655,19657],{"className":19656},[287],[289,19658,19659],{"xmlns":291,"display":4214},[293,19660,19661,19769],{},[296,19662,19663,19665,19667,19669,19675,19677,19680,19690,19692,19708,19710,19712,19714,19717,19719,19721,19723,19733,19735],{},[314,19664,2696],{},[314,19666,316],{},[302,19668,667],{},[299,19670,19671,19673],{},[302,19672,1849],{},[302,19674,234],{},[314,19676,3344],{},[314,19678,19679],{"stretchy":1827},"[",[299,19681,19682,19684],{},[302,19683,234],{},[296,19685,19686,19688],{},[302,19687,1056],{},[958,19689,960],{},[314,19691,1828],{"stretchy":1827},[8880,19693,19694,19696],{},[302,19695,10917],{},[296,19697,19698,19700,19702,19704,19706],{},[302,19699,667],{},[302,19701,304],{},[302,19703,10924],{"mathvariant":1050},[302,19705,11573],{},[302,19707,11576],{},[314,19709,316],{},[958,19711,11581],{},[314,19713,1838],{"stretchy":1827},[314,19715,19716],{"stretchy":1827},"]",[314,19718,3344],{},[314,19720,1828],{"stretchy":1827},[314,19722,316],{},[2246,19724,19725,19727],{},[958,19726,11581],{},[299,19728,19729,19731],{},[302,19730,9245],{},[302,19732,234],{},[314,19734,1838],{"stretchy":1827},[8880,19736,19737,19739],{},[302,19738,10917],{},[296,19740,19741,19743,19745,19751,19753,19759,19761,19763],{},[314,19742,316],{},[314,19744,1828],{"stretchy":1827},[299,19746,19747,19749],{},[302,19748,1833],{},[302,19750,1056],{},[314,19752,316],{},[299,19754,19755,19757],{},[302,19756,1833],{},[302,19758,1846],{},[314,19760,1838],{"stretchy":1827},[302,19762,10924],{"mathvariant":1050},[299,19764,19765,19767],{},[302,19766,9245],{},[302,19768,234],{},[325,19770,19771],{"encoding":327},"= -qD_p \\cdot [p_{n0}(e^{qV\u002FkT}-1)] \\cdot (-\\frac{1}{L_p}) e^{-(x_n-x_N)\u002FL_p}",[280,19773,19775,19787,19848,19960,19982],{"className":19774,"ariaHidden":333},[332],[280,19776,19778,19781,19784],{"className":19777},[337],[280,19779],{"className":19780,"style":1281},[341],[280,19782,2696],{"className":19783},[580],[280,19785],{"className":19786,"style":576},[409],[280,19788,19790,19793,19796,19799,19839,19842,19845],{"className":19789},[337],[280,19791],{"className":19792,"style":1075},[341],[280,19794,316],{"className":19795},[346],[280,19797,667],{"className":19798,"style":690},[346,350],[280,19800,19802,19805],{"className":19801},[346],[280,19803,1849],{"className":19804,"style":1997},[346,350],[280,19806,19808],{"className":19807},[355],[280,19809,19811,19831],{"className":19810},[359,360],[280,19812,19814,19828],{"className":19813},[364],[280,19815,19817],{"className":19816,"style":1097},[368],[280,19818,19819,19822],{"style":2360},[280,19820],{"className":19821,"style":377},[376],[280,19823,19825],{"className":19824},[381,382,383,384],[280,19826,234],{"className":19827},[346,350,384],[280,19829,396],{"className":19830},[395],[280,19832,19834],{"className":19833},[364],[280,19835,19837],{"className":19836,"style":1119},[368],[280,19838],{},[280,19840],{"className":19841,"style":351},[409],[280,19843,3344],{"className":19844},[413],[280,19846],{"className":19847,"style":351},[409],[280,19849,19851,19855,19858,19904,19907,19951,19954,19957],{"className":19850},[337],[280,19852],{"className":19853,"style":19854},[341],"height:1.188em;vertical-align:-0.25em;",[280,19856,19679],{"className":19857},[1906],[280,19859,19861,19864],{"className":19860},[346],[280,19862,234],{"className":19863},[346,350],[280,19865,19867],{"className":19866},[355],[280,19868,19870,19896],{"className":19869},[359,360],[280,19871,19873,19893],{"className":19872},[364],[280,19874,19876],{"className":19875,"style":7465},[368],[280,19877,19878,19881],{"style":1100},[280,19879],{"className":19880,"style":377},[376],[280,19882,19884],{"className":19883},[381,382,383,384],[280,19885,19887,19890],{"className":19886},[346,384],[280,19888,1056],{"className":19889},[346,350,384],[280,19891,960],{"className":19892},[346,384],[280,19894,396],{"className":19895},[395],[280,19897,19899],{"className":19898},[364],[280,19900,19902],{"className":19901,"style":403},[368],[280,19903],{},[280,19905,1828],{"className":19906},[1906],[280,19908,19910,19913],{"className":19909},[346],[280,19911,10917],{"className":19912},[346,350],[280,19914,19916],{"className":19915},[355],[280,19917,19919],{"className":19918},[359],[280,19920,19922],{"className":19921},[364],[280,19923,19925],{"className":19924,"style":11018},[368],[280,19926,19927,19930],{"style":11021},[280,19928],{"className":19929,"style":377},[376],[280,19931,19933],{"className":19932},[381,382,383,384],[280,19934,19936,19939,19942,19945,19948],{"className":19935},[346,384],[280,19937,667],{"className":19938,"style":690},[346,350,384],[280,19940,304],{"className":19941,"style":351},[346,350,384],[280,19943,10924],{"className":19944},[346,384],[280,19946,11573],{"className":19947,"style":11755},[346,350,384],[280,19949,11576],{"className":19950,"style":915},[346,350,384],[280,19952],{"className":19953,"style":351},[409],[280,19955,316],{"className":19956},[413],[280,19958],{"className":19959,"style":351},[409],[280,19961,19963,19966,19969,19973,19976,19979],{"className":19962},[337],[280,19964],{"className":19965,"style":1862},[341],[280,19967,11581],{"className":19968},[346],[280,19970,19972],{"className":19971},[1950],")]",[280,19974],{"className":19975,"style":351},[409],[280,19977,3344],{"className":19978},[413],[280,19980],{"className":19981,"style":351},[409],[280,19983,19985,19989,19992,19995,20095,20098],{"className":19984},[337],[280,19986],{"className":19987,"style":19988},[341],"height:2.2935em;vertical-align:-0.9721em;",[280,19990,1828],{"className":19991},[1906],[280,19993,316],{"className":19994},[346],[280,19996,19998,20001,20092],{"className":19997},[346],[280,19999],{"className":20000},[1906,2387],[280,20002,20004],{"className":20003},[2246],[280,20005,20007,20084],{"className":20006},[359,360],[280,20008,20010,20081],{"className":20009},[364],[280,20011,20014,20062,20070],{"className":20012,"style":20013},[368],"height:1.3214em;",[280,20015,20016,20019],{"style":4331},[280,20017],{"className":20018,"style":2407},[376],[280,20020,20022],{"className":20021},[346],[280,20023,20025,20028],{"className":20024},[346],[280,20026,9245],{"className":20027},[346,350],[280,20029,20031],{"className":20030},[355],[280,20032,20034,20054],{"className":20033},[359,360],[280,20035,20037,20051],{"className":20036},[364],[280,20038,20040],{"className":20039,"style":1097},[368],[280,20041,20042,20045],{"style":1100},[280,20043],{"className":20044,"style":377},[376],[280,20046,20048],{"className":20047},[381,382,383,384],[280,20049,234],{"className":20050},[346,350,384],[280,20052,396],{"className":20053},[395],[280,20055,20057],{"className":20056},[364],[280,20058,20060],{"className":20059,"style":1119},[368],[280,20061],{},[280,20063,20064,20067],{"style":2422},[280,20065],{"className":20066,"style":2407},[376],[280,20068],{"className":20069,"style":2430},[2429],[280,20071,20072,20075],{"style":4351},[280,20073],{"className":20074,"style":2407},[376],[280,20076,20078],{"className":20077},[346],[280,20079,11581],{"className":20080},[346],[280,20082,396],{"className":20083},[395],[280,20085,20087],{"className":20086},[364],[280,20088,20090],{"className":20089,"style":4738},[368],[280,20091],{},[280,20093],{"className":20094},[1950,2387],[280,20096,1838],{"className":20097},[1950],[280,20099,20101,20104],{"className":20100},[346],[280,20102,10917],{"className":20103},[346,350],[280,20105,20107],{"className":20106},[355],[280,20108,20110],{"className":20109},[359],[280,20111,20113],{"className":20112},[364],[280,20114,20116],{"className":20115,"style":11018},[368],[280,20117,20118,20121],{"style":11021},[280,20119],{"className":20120,"style":377},[376],[280,20122,20124],{"className":20123},[381,382,383,384],[280,20125,20127,20130,20133,20173,20176,20216,20219,20222],{"className":20126},[346,384],[280,20128,316],{"className":20129},[346,384],[280,20131,1828],{"className":20132},[1906,384],[280,20134,20136,20139],{"className":20135},[346,384],[280,20137,1833],{"className":20138},[346,350,384],[280,20140,20142],{"className":20141},[355],[280,20143,20145,20165],{"className":20144},[359,360],[280,20146,20148,20162],{"className":20147},[364],[280,20149,20151],{"className":20150,"style":2464},[368],[280,20152,20153,20156],{"style":2467},[280,20154],{"className":20155,"style":2471},[376],[280,20157,20159],{"className":20158},[381,2475,2476,384],[280,20160,1056],{"className":20161},[346,350,384],[280,20163,396],{"className":20164},[395],[280,20166,20168],{"className":20167},[364],[280,20169,20171],{"className":20170,"style":2489},[368],[280,20172],{},[280,20174,316],{"className":20175},[413,384],[280,20177,20179,20182],{"className":20178},[346,384],[280,20180,1833],{"className":20181},[346,350,384],[280,20183,20185],{"className":20184},[355],[280,20186,20188,20208],{"className":20187},[359,360],[280,20189,20191,20205],{"className":20190},[364],[280,20192,20194],{"className":20193,"style":12509},[368],[280,20195,20196,20199],{"style":12512},[280,20197],{"className":20198,"style":2471},[376],[280,20200,20202],{"className":20201},[381,2475,2476,384],[280,20203,1846],{"className":20204,"style":1972},[346,350,384],[280,20206,396],{"className":20207},[395],[280,20209,20211],{"className":20210},[364],[280,20212,20214],{"className":20213,"style":12531},[368],[280,20215],{},[280,20217,1838],{"className":20218},[1950,384],[280,20220,10924],{"className":20221},[346,384],[280,20223,20225,20228],{"className":20224},[346,384],[280,20226,9245],{"className":20227},[346,350,384],[280,20229,20231],{"className":20230},[355],[280,20232,20234,20254],{"className":20233},[359,360],[280,20235,20237,20251],{"className":20236},[364],[280,20238,20240],{"className":20239,"style":2464},[368],[280,20241,20242,20245],{"style":2467},[280,20243],{"className":20244,"style":2471},[376],[280,20246,20248],{"className":20247},[381,2475,2476,384],[280,20249,234],{"className":20250},[346,350,384],[280,20252,396],{"className":20253},[395],[280,20255,20257],{"className":20256},[364],[280,20258,20260],{"className":20259,"style":3629},[368],[280,20261],{},[280,20263,20265],{"className":20264},[4205],[280,20266,20268,20332],{"className":20267},[283],[280,20269,20271],{"className":20270},[287],[289,20272,20273],{"xmlns":291,"display":4214},[293,20274,20275,20329],{},[296,20276,20277,20279,20281,20295,20305,20307,20323,20325,20327],{},[314,20278,2696],{},[302,20280,667],{},[2246,20282,20283,20289],{},[299,20284,20285,20287],{},[302,20286,1849],{},[302,20288,234],{},[299,20290,20291,20293],{},[302,20292,9245],{},[302,20294,234],{},[299,20296,20297,20299],{},[302,20298,234],{},[296,20300,20301,20303],{},[302,20302,1056],{},[958,20304,960],{},[314,20306,1828],{"stretchy":1827},[8880,20308,20309,20311],{},[302,20310,10917],{},[296,20312,20313,20315,20317,20319,20321],{},[302,20314,667],{},[302,20316,304],{},[302,20318,10924],{"mathvariant":1050},[302,20320,11573],{},[302,20322,11576],{},[314,20324,316],{},[958,20326,11581],{},[314,20328,1838],{"stretchy":1827},[325,20330,20331],{"encoding":327},"= q \\frac{D_p}{L_p} p_{n0} (e^{qV\u002FkT}-1)",[280,20333,20335,20347,20594],{"className":20334,"ariaHidden":333},[332],[280,20336,20338,20341,20344],{"className":20337},[337],[280,20339],{"className":20340,"style":1281},[341],[280,20342,2696],{"className":20343},[580],[280,20345],{"className":20346,"style":576},[409],[280,20348,20350,20353,20356,20492,20538,20541,20585,20588,20591],{"className":20349},[337],[280,20351],{"className":20352,"style":4638},[341],[280,20354,667],{"className":20355,"style":690},[346,350],[280,20357,20359,20362,20489],{"className":20358},[346],[280,20360],{"className":20361},[1906,2387],[280,20363,20365],{"className":20364},[2246],[280,20366,20368,20481],{"className":20367},[359,360],[280,20369,20371,20478],{"className":20370},[364],[280,20372,20374,20422,20430],{"className":20373,"style":4657},[368],[280,20375,20376,20379],{"style":4331},[280,20377],{"className":20378,"style":2407},[376],[280,20380,20382],{"className":20381},[346],[280,20383,20385,20388],{"className":20384},[346],[280,20386,9245],{"className":20387},[346,350],[280,20389,20391],{"className":20390},[355],[280,20392,20394,20414],{"className":20393},[359,360],[280,20395,20397,20411],{"className":20396},[364],[280,20398,20400],{"className":20399,"style":1097},[368],[280,20401,20402,20405],{"style":1100},[280,20403],{"className":20404,"style":377},[376],[280,20406,20408],{"className":20407},[381,382,383,384],[280,20409,234],{"className":20410},[346,350,384],[280,20412,396],{"className":20413},[395],[280,20415,20417],{"className":20416},[364],[280,20418,20420],{"className":20419,"style":1119},[368],[280,20421],{},[280,20423,20424,20427],{"style":2422},[280,20425],{"className":20426,"style":2407},[376],[280,20428],{"className":20429,"style":2430},[2429],[280,20431,20432,20435],{"style":4351},[280,20433],{"className":20434,"style":2407},[376],[280,20436,20438],{"className":20437},[346],[280,20439,20441,20444],{"className":20440},[346],[280,20442,1849],{"className":20443,"style":1997},[346,350],[280,20445,20447],{"className":20446},[355],[280,20448,20450,20470],{"className":20449},[359,360],[280,20451,20453,20467],{"className":20452},[364],[280,20454,20456],{"className":20455,"style":1097},[368],[280,20457,20458,20461],{"style":2360},[280,20459],{"className":20460,"style":377},[376],[280,20462,20464],{"className":20463},[381,382,383,384],[280,20465,234],{"className":20466},[346,350,384],[280,20468,396],{"className":20469},[395],[280,20471,20473],{"className":20472},[364],[280,20474,20476],{"className":20475,"style":1119},[368],[280,20477],{},[280,20479,396],{"className":20480},[395],[280,20482,20484],{"className":20483},[364],[280,20485,20487],{"className":20486,"style":4738},[368],[280,20488],{},[280,20490],{"className":20491},[1950,2387],[280,20493,20495,20498],{"className":20494},[346],[280,20496,234],{"className":20497},[346,350],[280,20499,20501],{"className":20500},[355],[280,20502,20504,20530],{"className":20503},[359,360],[280,20505,20507,20527],{"className":20506},[364],[280,20508,20510],{"className":20509,"style":7465},[368],[280,20511,20512,20515],{"style":1100},[280,20513],{"className":20514,"style":377},[376],[280,20516,20518],{"className":20517},[381,382,383,384],[280,20519,20521,20524],{"className":20520},[346,384],[280,20522,1056],{"className":20523},[346,350,384],[280,20525,960],{"className":20526},[346,384],[280,20528,396],{"className":20529},[395],[280,20531,20533],{"className":20532},[364],[280,20534,20536],{"className":20535,"style":403},[368],[280,20537],{},[280,20539,1828],{"className":20540},[1906],[280,20542,20544,20547],{"className":20543},[346],[280,20545,10917],{"className":20546},[346,350],[280,20548,20550],{"className":20549},[355],[280,20551,20553],{"className":20552},[359],[280,20554,20556],{"className":20555},[364],[280,20557,20559],{"className":20558,"style":11018},[368],[280,20560,20561,20564],{"style":11021},[280,20562],{"className":20563,"style":377},[376],[280,20565,20567],{"className":20566},[381,382,383,384],[280,20568,20570,20573,20576,20579,20582],{"className":20569},[346,384],[280,20571,667],{"className":20572,"style":690},[346,350,384],[280,20574,304],{"className":20575,"style":351},[346,350,384],[280,20577,10924],{"className":20578},[346,384],[280,20580,11573],{"className":20581,"style":11755},[346,350,384],[280,20583,11576],{"className":20584,"style":915},[346,350,384],[280,20586],{"className":20587,"style":351},[409],[280,20589,316],{"className":20590},[413],[280,20592],{"className":20593,"style":351},[409],[280,20595,20597,20600,20603],{"className":20596},[337],[280,20598],{"className":20599,"style":1862},[341],[280,20601,11581],{"className":20602},[346],[280,20604,1838],{"className":20605},[1950],{"title":20607,"searchDepth":20608,"depth":20608,"links":20609},"",4,[20610,20612,20613,20614,20618,20650],{"id":243,"depth":20611,"text":244},2,{"id":470,"depth":20611,"text":471},{"id":1340,"depth":20611,"text":1341},{"id":3171,"depth":20611,"text":3172,"children":20615},[20616,20617],{"id":3265,"depth":20608,"text":3265},{"id":3298,"depth":20608,"text":3298},{"id":3306,"depth":20611,"text":3307,"children":20619},[20620,20627,20634,20640,20641,20642],{"id":3316,"depth":20621,"text":3317,"children":20622},3,[20623,20624,20625,20626],{"id":3323,"depth":20608,"text":3324},{"id":3388,"depth":20608,"text":3388},{"id":4746,"depth":20608,"text":4746},{"id":6401,"depth":20608,"text":6401},{"id":6570,"depth":20621,"text":6571,"children":20628},[20629,20630,20631,20632,20633],{"id":6577,"depth":20608,"text":6578},{"id":7128,"depth":20608,"text":7128},{"id":8063,"depth":20608,"text":8063},{"id":9222,"depth":20608,"text":9223},{"id":9637,"depth":20608,"text":9637},{"id":10402,"depth":20621,"text":10403,"children":20635},[20636,20637,20638,20639],{"id":10554,"depth":20608,"text":10554},{"id":10880,"depth":20608,"text":10880},{"id":11176,"depth":20608,"text":11177},{"id":11782,"depth":20608,"text":11782},{"id":13510,"depth":20621,"text":13511},{"id":13561,"depth":20621,"text":3298},{"id":13569,"depth":20621,"text":13569,"children":20643},[20644,20646,20647,20648],{"id":13577,"depth":20608,"text":20645},"问题的直接回答：LnL_nLn​ 远大于典型器件尺寸",{"id":14244,"depth":20608,"text":14245},{"id":14254,"depth":20608,"text":14255},{"id":15549,"depth":20608,"text":20649},"B. “短基区”模型（实际器件）（非重点，主要看区别）",{"id":18108,"depth":20611,"text":18109,"children":20651},[20652,20653],{"id":18117,"depth":20621,"text":18118},{"id":18123,"depth":20621,"text":18124,"children":20654},[20655],{"id":18996,"depth":20608,"text":20656},"计算 Jp(xn)J_p(x_n)Jp​(xn​)计算 Jn(−xp)J_n(-x_p)Jn​(−xp​)",[189],"正向偏置与低水平注入、结定律、连续性方程与扩散方程、理想晶体管 I-V 方程的推导","md",null,{"slots":20662},{},{"text":20664,"minutes":20665,"time":20666,"words":20667},"14 min read",13.365,801900,2673,{"title":146,"description":20658},{"loc":145,"images":20670},[20671,20672,20673,20674,20675,20676,20677,20678,20679,20680,20681,20682,20683,20684,20685,20686],{"loc":267},{"loc":275},{"loc":477},{"loc":641},{"loc":922},{"loc":932},{"loc":3258},{"loc":3279},{"loc":3287},{"loc":3303},{"loc":13525},{"loc":13533},{"loc":13546},{"loc":13553},{"loc":13566},{"loc":13574},[176,20688],"课程笔记","tech","phwC3OE3_6jVNWt44TYypoWnjQ0pVl4MalHnt5bJdC4",[20692,20693],{"title":141,"path":140,"stem":139,"date":142,"type":20689,"children":-1},{"title":166,"path":165,"stem":164,"date":167,"type":20689,"children":-1},1789011906808]