EE338_HW5_Solutions

EE338_HW5_Solutions - 3/26/2008 EE338 Spring 2008 HW#5...

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3/26/2008 1 EE338 Spring 2008 HW#5 Solutions
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3/26/2008 2 4.43 n-type semiconductor, low-injection so that == R px pO δ τ 510 10 13 6 or ′ = −− Rxc m s 19 3 1
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3/26/2008 3 5.8 (a) GaAs: VV bi = 120 . , nx c m i = 18 10 63 . xWx x pn p == + 02 .. bg or x x p n = 025 . Also Nx x x N N dn ap p n d a =⇒ = = . Now NN n bi t ad i = F H G I K J ln 2 or 0 0259 2 2 l n . = () F H G I K J N n a i Then 0 0259 2 2 . exp . . N n a i = F H I K or Nn ai = L N M O Q P 2 2 0 0259 exp . . or c m a = 4.14 10 16 3 (b) da . c m d = 104 10 16 3 . (c) x V e N N n bi a d = + F H G I K J F H G I K J L N M O Q P 21 12 / = 2131 88510 16 10 14 19 . . L N M x x × + F H I K F H I K O Q P 4 1 1 4.14 10 104 10 16 16 xx . / or xm n = 0366 . μ (d) . p = 00916 . (e) ε max = = eN x eN x = −− 104 10 0 366 10 131 8 85 10 19 16 4 14 . x x b gb gb g b g or max ./ = 525 10 4 xV c m 5.12 (a) (b) For Nc m d = 10 16 3 , EE k T N n FF i d i −= F H G I K J ln = F H G I K J 0 0259 10 15 10 16 10 .l n . x or e V i 0 3473 . For m d = 10 15 3 , x i F H G I K J 0 0259 10 15 10 n . or e V i 0 2877 . Then V bi =− 0 3473 0 2877 or bi = 00596 . E x
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3/26/2008 4 5.15 ε max / = + ∈+ F H G I K J L N M O Q P 2 12 eV V N N NN bi R s ad af Normalize to εε max max / 2 V K bi R s + == + L N M O Q P F H G I K J a f (a) Nc m d = 10 18 3 (b) m d = 10 14 3 m a 3 bg max K × 10 7 b g m a 3 b g max K × 10 7 10 14 10 16 10 18 10 .
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EE338_HW5_Solutions - 3/26/2008 EE338 Spring 2008 HW#5...

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