ECE453Fall2010HW8[1]

# ECE453Fall2010HW8[1] - Fall 2010 ECE 453 HW#8 Due...

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Unformatted text preview: Fall 2010 ECE 453 HW #8 Due 11/22 (Monday) HW # 8 Due Monday, November 22, 2010 These problems are based on Chapter 17, 18 of notes (see Notes#5). A few relevant equations I = 1 q dE ! " + " # ˜ G ( E ) f 1 ( E ) ! f 2 ( E ) ( ) (18.1) I Q 1 = 1 q dE ! " + " # E ! μ 1 q ˜ G ( E ) f 1 ( E ) ! f 2 ( E ) ( ) (18.2a) and I Q 2 = 1 q dE ! " + " # μ 2 ! E q ˜ G ( E ) f 1 ( E ) ! f 2 ( E ) ( ) (18.2b) where ! G ( E ) = q 2 h M ! L + ! ! " # \$ % & f 1 ( E ) = 1 exp(( E ! μ 1 ) / kT 1 ) + 1 and f 2 ( E ) = 1 exp(( E ! μ 2 ) / kT 2 ) + 1 I Q ( phonons ) = 1 h d ( ! ! ) ! " + " # M ! L + ! \$ % & ’ ( ) ph ! ! n 1 ( ! ) ! n 2 ( ! ) ( ) (18.6) where n 1 ( ! ) = 1 exp( ! ! / kT 1 ) " 1 and n 2 ( ! ) = 1 exp( ! ! / kT 2 ) " 1 Linearized versions: I = G ( V 1 ! V 2 ) + G S ( T 1 ! T 2 ) (18.3) I Q = G P ( V 1 ! V 2 ) + G Q ( T 1 ! T 2 ) (18.4) I Q ( phonons ) ! G ! ( T 1 " T 2 ) (18.7) where G = dE ! " + " # !...
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ECE453Fall2010HW8[1] - Fall 2010 ECE 453 HW#8 Due...

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