UNIVERSITY OF CALIFORNIA AT BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences EE105 Monday Discussion September 10th 2007 1 Derivation of The Ideal Diode Equation n2i np x NA n2i pn x ND e VF VT x 1 e Ln V F VT e 1 1 xL e p 1 DERIVATION OF THE IDEAL DIODE EQUATION 2 d Jn dif f qDn np total x dx d Jp dif f qDp pn total x dx np total np np o pn total pn pn o d d np total np x np o dx dx d d pn x pn o pn total dx dx d d np x np o np x dx dx d d pn x pn o pn x dx dx V F qDnn2i Jn dif f x 0 e VT 1 LnNA V 2 F qDpni e VT 1 Jp dif f x 0 LpND Note here that our electron diffusion current is negative with respect to the x axis and thus positive with respect to the x axis To match up directions with the hole diffusion current we will negate our result for the electron diffusion current Jtotal Jn dif f Jp dif f V V 2 F F qD n qDn n2i p i Jtotal e VT 1 e VT 1 LnNA Lp ND 1 DERIVATION OF THE IDEAL DIODE EQUATION Jtotal Jtotal Dp Dn qn2i L N LN V n A p D F Js e VT 1 Is J s A I Jtotal A V F I Is e VT 1 BAM 3 e VF VT 1
View Full Document
Unlocking...