final - MAE140 - Linear Circuits - Fall 09 Final, December...

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MAE140 - Linear Circuits - Fall 09 Final, December 7 Instructions (i) This exam is open book. You may use whatever written materials you choose, including your class notes and textbook. You may use a hand calculator with no communication capabilities (ii) You have 170 minutes (iii) Do not forget to write your name, student number, and instructor (iv) On the questions for which we have given the answers, please provide detailed derivations. L L R L R L/2 A B (a) Question 1, Part I R C L D C i(0) L v(0) C (b) Question 1, Part II Figure 1: Circuit for Question 1. 1. Equivalent Circuits Part I: [5 points] Assuming zero initial conditions, find the impedance equivalent to the circuit in Figure 1(a) as seen from terminals A and B. The answer should be given as a ratio of two poly- nomials. Part II: [5 points] Assuming that the initial conditions of the inductor and capacitor are as indicated in the diagram, redraw the circuit shown in Figure 1(b) in the s-domain. Then use source trans- formations to find the s-domain Norton equivalent of this circuit as seen from terminals C and D. ( Hint:
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final - MAE140 - Linear Circuits - Fall 09 Final, December...

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