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quiz2_sol - v t = 1V and k = 1mA V 2 Which region is the...

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EE 101 Handout #14 Prof. Abbas El Gamal February 18, 2002 Quiz #2 Solution Problem 1: Consider the circuit in the figure below. Write the node voltage equations for the circuit in the matrix form Y e = ˜ i . The matrix Y and the vector ˜ i must be in terms of R 1 , R 2 , R 3 , v s , i s 1 , and i s 2 only. Write your answer in the spaces below. v s i s 2 i s 1 R 1 R 2 R 3 R 4 n 1 n 2 n 3 Solution: 1 0 0 - 1 /R 3 1 /R 2 + 1 /R 3 0 0 0 1 /R 4 e 1 e 2 e 3 = v s i s 1 i s 2 - i s 1
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Problem 2: Consider the nMOS transistor circuit in the figure, assuming first order static model with
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Unformatted text preview: v t = 1V and k = 1mA / V 2 . Which region is the transistor operating in? Find R . Put your fnal answers in the box below. 5V 8mA 2kΩ R Solution: The transistor is in saturation, since v ds = 5 ≥ v gs-v t = v gs-1. Thus i d = k 2 ( v gs-v t ) 2 . Substituting, we obtain 8mA = 1mA 2 ( v gs-1) 2 , which gives v gs = 5V, and there±ore R = ∞ ....
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