20085ee2_1_EE2_HW8_sol

20085ee2_1_EE2_HW8_sol - HW 8 solution by Alvin...

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Unformatted text preview: HW 8 solution by Alvin (Hsing-Ting) Yu Permittivity of free space cm F m F 14 12 10 854 . 8 10 854 . 8-- = = Permittivity of silicon cm F m F rs s 14 12 10 854 . 8 9 . 11 10 854 . 8 9 . 11-- = = = rs : Relative permittivity of silicon = 11.9 I. p15 The general equation of minority carrier density is p p L x L x Be Ae x p ' ' ) ' ( + = - (72) p162 From Taylors series, x e x + 1 as x<<1 and, when Wn << Lp, thus x<<Lp, we get ] ' 1 [ ] ' 1 [ ) ' ( p p L x B L x A x p + +- = (82) p170 Applying the boundary conditions ] 1 [ ] 1 [ ) ( ) ( p p L Wn B L Wn A Wn p B A p + +- = = + = By solving the above equations we get ] 1 [ 2 ) ( ] 1 [ 2 ) ( Wn L p B Wn L p A p p- = + = Substituting these values in Equation 82 we get ) ' 1 )( ( ) ' ( Wn x p x p- = (83) p170 II.p16 n region: narrow base => Wn << Lp p172 p region: wide base => Wp >> Ln p167 ) 1 )( (- + = + = kT qV n po n n no p F e L n D W p D q Jn Jp J III.p17 (Please also take a look at the solution of problem V below, and example on p154) V n N N q kT V i D A bi 7 . ln 2 = = +- (25) p139 Permittivity of free space cm F m F 14 12 10 854 . 8 10 854 . 8-- = = Permittivity of silicon cm F m F rs s 14 12 10 854 . 8 9 . 11...
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This note was uploaded on 02/09/2011 for the course EE 2 taught by Professor Vis during the Spring '07 term at UCLA.

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20085ee2_1_EE2_HW8_sol - HW 8 solution by Alvin...

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