Chapter6.pdf

# Chapter6.pdf - Semiconductor Physics and Devices Basic...

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Semiconductor Physics and Devices: Basic Principles, 4 th edition Chapter 6 By D. A. Neamen Exercise Solutions ______________________________________________________________________________________ Chapter 6 Exercise Solutions Ex 6.1 6 10 / 15 10 10 6 t no n e n R cm 3 s 1 For 0 t , 21 6 15 10 10 10 n R cm 3 s 1 1 t s, 20 6 1 / 1 15 10 68 . 3 10 10 e R n cm 3 s 1 4 t s, 19 6 1 / 4 15 10 83 . 1 10 10 e R n cm 3 s 1 10 t s, 16 6 1 / 10 15 10 54 . 4 10 10 e R n cm 3 s 1 _______________________________________ Ex 6.2 (a) 1 14 50 / 14 10 10 e e t 50 t ns (b) 13 50 / 14 10 10 t e 7 13 14 9 10 15 . 1 10 10 ln 10 50 t s or 115 t ns _______________________________________ Ex 6.3 (a)   po t po e g t p / 1  po t e / 7 21 1 10 10 5 po t e / 14 1 10 5 (i)   0 1 10 5 0 0 14 e p (ii) 1 / 1 14 7 1 10 5 10 e p 14 10 16 . 3 cm 3 (iii) 1 / 5 14 7 1 10 5 10 5 e p 14 10 966 . 4 cm 3 (iv)  e p 1 10 5 14 14 10 5 cm 3 (b) d N p 01 . 0 10 5 max 14 Yes, low-injection condition is met. _______________________________________ Ex 6.4 (a) 2 / 1 7 10 5 25 no n n D L 3 10 536 . 3 cm or 36 . 35 L m (b) n L x e n / 15 10 ( 0 x ) or n L x e n / 15 10 ( 0 x ) (i) 15 0 15 10 10 e n cm 3 (ii) 14 36 . 35 / 30 15 10 28 . 4 10 e n cm 3 (iii) 14 36 . 35 / 50 15 10 43 . 2 10 e n cm 3 (iv) 13 36 . 35 / 85 15 10 04 . 9 10 e n cm 3 (v) 13 36 . 35 / 120 15 10 36 . 3 10 e n cm 3 _______________________________________ Ex 6.5 t D t x t D e t x p p p p t p 4 exp 4 , 2 0 2 / 1 / 0 (a)  3 7 0 10 4 10 100 400 t p cm or 40 m (i) 20 x m. 6 2 3 3 10 4 10 2 exp 10 545 . 3 36788 . 0 p 18 . 38 (ii) 40 x m,   0 exp 10 545 . 3 36788 . 0

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