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202HW13-20Sp10

# 202HW13-20Sp10 - page 1 Spring 10 EE202 HOMEWORK...

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page 1 Spring 10 1 EE202 H OMEWORK P ROBLEMS (S ET 2) S PRING 10 TO THE STUDENT: ALWAYS CHECK THE ERRATA on the web. Quotes for your Parent's Parties: 1. It requires a very unusual mind to undertake the analysis of the obvious. –Alfred North Whitehead. 2. No race can prosper until it learns that there is as much dignity in tilling a field as in writing a poem. –Booker T. Washington 3. No task, rightly done, is truly private. It is part of the world's work. –Woodrow Wilson 4. All stories are true; some actually happened. --Megan McKenna 5. The problem is not solved, but the paper work is complete.– M.F. Chang 6. It is much easier to recognize error than to find truth; for error lies on the surface and may be overcome; but truth lies in the depths … -- Goethe 7. The secret of patience is finding something to do in the meantime. -- Bits and Pieces, November 1982 D UE M ONDAY W EEK 4 (F EB 1) Suggestion: Do what you can by hand, but ALWAYS check in MATLAB, or use MATLAB and then do by hand to practice for Exam I. 13. For this problem it is NOT necessary or even desirable to find Z in ( s ) . (a ) For circuit (a) below, suppose R = 2.5 ! , L = 1 H, C = 0.2 F, v C (0 ! ) = 500 mV, and i L (0 ! ) = ! 200 mA. Assume v in ( t ) = 0 . Draw an equivalent circuit in the s-domain that accounts for the initial conditions. Find v out ( t ) for t ! 0 using s-domain techniques. (b ) For circuit (b) below, suppose R = 2 ! , L = 0.25 H, C = 0.25 F, v C (0 ! ) = 800 mV, and i L (0 ! ) = 200 mA. Assume i in ( t ) = 0 . Draw an equivalent circuit in the s-domain that accounts for the initial conditions. Find i out ( t ) for t ! 0 using s-domain techniques.

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page 2 Spring 10 2 (a) (b) 14. (a) For circuit (a) below, L = 0.5 H, C = 0.1 F, i L (0 ! ) = 2 A and v C (0 !
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202HW13-20Sp10 - page 1 Spring 10 EE202 HOMEWORK...

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