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set10new

# set10new - f er of Figure(c(a Use the T model or simpli f...

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ECE3050 Homework Set 10 The fi gures show a common-source ampli fi er, a common-drain ampli fi er, and a common-gate am- pli fi er. For each circuit, it is given that R tg = 1 k , R ts = 100 , and R td = 10 k . The transistors have the parameters I D = 1 . 5 mA , V DS = 10 V , K = 0 . 005 A / V 2 , and λ = 0 V 1 . 1. For each transistor, show that g m = 1 / 182 . 6 S , r s = 182 . 6 , and r 0 = k . 2. For the common-source ampli fi er of Figure (a): (a) Replace the MOSFET with the T model or simpli fi ed T model and show that v o = i 0 d R td = 10 4 i 0 d i 0 d = i 0 s = v tg r s + R ts = v tg 282 . 6 v o v tg = R td r s + R ts = 35 . 4 (b) Replace the MOSFET with the π model and show that v o = i 0 d R td = 10 4 i 0 d i 0 d = v tg 1 g m + R ts = v tg 282 . 6 v o v tg = R td 1 g m + R ts = 35 . 4 3. For the common-drain ampli fi er of Figure (b): (a) Use the T model or simpli fi ed T model to show that v o v tg = R ts r s + R ts = 0 . 354 r out = R ts k r s = 64 . 61 1

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(b) Use the π model to show that v o v tg = R ts 1 g m + R ts = 0 . 354 r out = R ts k 1 g m = 64 . 61
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Unformatted text preview: f er of Figure (c) (a) Use the T model or simpli f ed T model to show that v o v ts = − 1 r s + R ts × ( − R td ) = R td r s + R ts = 35 . 4 r out = R td = 10k Ω (b) Use the π model to show that v o v ts = − 1 1 g m + R ts × ( − R td ) = R td 1 g m + R ts = 35 . 4 r out = R td = 10k Ω 5. What are the new answers to problems 4 through 6 if the body lead connects to ac ground and χ = 0 . 3 ? Answers: For problem 2, v o /v tg = − 32 . and r out = 10k Ω . For problem 3, v o /v tg = 0 . 32 and r out = 58 . 4 Ω . For problem 4, v o /v ts = 32 and r out = 10k Ω . 2...
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