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09_Midterm_Solution

# 09_Midterm_Solution - EE 101A MIDTERM WINTER 09 NAME I.D...

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- 1 - EE 101A MIDTERM WINTER 09 NAME ________SOLUTION ____________ I.D. NUMBER ______________________________ SIGNATURE ______________________________ TIME : 90 MINUTES OPEN BOOKS, OPEN NOTES NO PC or WIRELESS COMMUNICATION DEVICES STATE YOUR ASSUMPTIONS AND REASONING NO CREDIT FOR ANSWERS WITHOUT REASONING (1) __________/50 (2) __________/30 (3) __________/20 Total __________/100

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- 2 - 1) Consider the circuit shown. The I-V characteristic of the non-linear component Z is shown in the following page. (50%) a) Determine the voltage V Z , current I Z and power of the component Z. Redraw the circuit as shown below. There are many ways to solve the problem : 1. Nodal Analysis; 2. Source Transformation to find Thevenin Equivalent Network; or 3. Superposition to find Thevenin Equivalent Network. We will illustrate the 3 rd method here. The first sub-circuit is shown on far right. V OC1 = -10V X [4K//(2K+2K)] / [ 2K + 4K//(2K+2K)] = 5V The second sub-circuit is shown on right. V OC2 = 1m X [2k//4K//(2K+2K)] = 1V The third sub-circuit is shown on far right. V OC3 /2K + V OC3 /4K + (V OC3 -V 1 )/2K + 1m = 0 V 1 /2K + (V 1 -V OC3 )/2K =1m Solve these two equations, V OC3 = 0.5 V V OC = V OC1 + V OC2 + V OC3 = 5V +1V 0.5V = 4.5V The sub-circuit for determining RT is shown on right. R
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09_Midterm_Solution - EE 101A MIDTERM WINTER 09 NAME I.D...

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