Lecture17(1)

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Unformatted text preview: notquation does not Quantitative p-n does not e apply here. apply here.apply here. p-type apply here.Region Depletion Region n-type p-type p-type Depletion n-type n-type Depletion Region E0 E0 E0 0E E 0 0E E 0 0E 0 B : ry Condition : Condition : Boundary Condition : -x ion : Boundary Boundary Condition :p Boundary Conditionoundary Boundary Condition oundary Condition : Boundary Condition : BoundaryxCondition : ConditionBoundary C n : Boundary Condition : x px ( )? ?( x p) ( x0 0( -x? n 0 n p ( x) n p0 x ) n px px) p x p )p ( x?n-xx p ) x? )pn (? xnn)( x ? xn ) pnxpn ( xxn )xnp? ( x p( p n Application of the p Minority Carrier n Diffusion Equation n n Boundary Condition pplication ofn the nMinorityMinorityDiffusion D ( p ) ( p ) G ( n )Application of the Carrier Carrierp Diffusion Equation ( )( ) ( ) Equation Since electric fields D G t x 2 2 p p p n t x minority carrier diff. eq. N 2 n P L n 2 L Since electric minority carrier diff. eq. EC exist in the depletion Georgia Tech ECE 3080ECE 3080 -Doolittl - Dr. Alan Dr. Al ia Tech ECE ( n) ( n) ( p) ( p) fields the minority region, exist in the 2 2 0 pD) 0( p) 0D n ( x (( n pp)) ( n p2)( nx ) ( n p ince electric fields ) ) S ) G dcarrier diffusion fieldsn DP ( (pn2pn ) D 2n( pnGL ( p epletion electric Since regions, GL DN P L 2 t xt2 px tx n x2 eexistminority depletion quation does not he in the enxist in the tdepletion 2 ( n p ) ( n p2)( n p ) ( n pegion, the apply here. 0 cregion, the minority 2 ( pn ) ( p2n() pn ) (0 pn ) arrier diffusion )0 r minority 0 DP 0 0 2 0 DN DP 20 2 equation does not x x px x2 n p n carrier diffusion diffusion c:pply here. arrier Boundary Condition : Boundary Condition : a Boundary Condition : Boundary Condition p n 2 2 p N p P 2 )0 n p n np (x n 2 equation ?equation does not? p (x x ) n (x x ) does not apply here. apply here. p p n n pn ( x )0 EE 332 Spring 2013 Quasi-Fermi Level of the Junction Law of the Junction EE 332 Spring 2013 Quantitative p-n Diode Solution Quantitative p-n Diode Minority Carrier Injection Solution p-type Depletion Region Depletion Region Ep-type 0 E0 Minority Carrier Injection E 0 E 0 n-type n-type0 E E 0 -xp xn Application of -xp Minority Carrier xn the Diffusion Equation Application of the Minority Carrier Diffusion: Equation Boundary Condition Boundary Condition : - - Boundary Condition : np (x xp ) ? np (x xp )F ? E- - FN Ei n ni e F EkT and p kT n ni e and p n p (x x p ) p p (x xp ) n p (x x p ) p p (x xp ) n p (x x p ) p p (x xp ) n p (x x p ) p p (x xp ) 2 ni 2 qVA kT ni e qV kT n p (x xp ) n p (x xp ) N A e NA 2 nn 2 qVA kT i qV n pn( x x x x ) ) ie kT p p( p NA e N N i i n pn ( x P i BoundaryxCondition : p( x) ? n xn ) ?...
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This document was uploaded on 02/18/2014.

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