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hw11

hw11 - • For circuit A — use loop analysis to determine...

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EE2120 Spring 2003 - Homework 11 Instructions You must work every problem Start each problem on a new page and number every page Copy the problem statement and circuit or figure, when appropriate, and then begin the solution Turn this handout in together with your work Show all your work, including every intermediate step used in arriving to your solution Keep the graded homework in your ° les. If necessary after grading, attach to it new pages correcting your mistakes. Neatness counts WARNING: Points will be deducted if you do not follow the instructions This homework consists of two parts. PART I Solve problems 5.24, 5.29, 5.34, 5.45, 5.50, 5.49, 5.58, 5.62, 5.63 PART II Consider the three circuits with inductors and capacitors shown in the Figure 1. Consider ° rst the case when the sources are all constant. Repeat the problems when the sources are v S ( t ) = 150 sin (2 π t ), i S ( t ) = 2 cos (10 π t ). Alternatively, solve the problems for generic sources v S ( t ) , i S ( t ) (the resulting di ff erential equations may contain the source and derivatives of the source)

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Unformatted text preview: • For circuit A), — use loop analysis to determine the di f erential equation relating the current i O ( t ) to the source voltage v S ( t ). — determine the di f erential equation for the voltage v C ( t ) • For circuit B), — use node analysis to determine the di f erential equation relating the source curretn, i S ( t ), to the node voltage v ( t ). — & nd the di f erential equation for the current through the capacitor • For circuit C), — use node analysis to determine the di f erential equation for the node voltage v ( t ) — Determine the di f erential equation for the current i L ( t ) through the inductor THIS HOMEWORK IS DUE ON TUESDAY, APRIL 22, AT 2PM IN ROOM 102 EE BUILDING Prepared by Dr. Jorge L. Aravena. Last revised on April 11, 2003 2 +-+-R R L L L C C C 1 R 2 R ) ( t v S ) ( t v S ) ( t i S ) ( t i L ) ( t i O −" +" ) ( t v C ) ( t v ) ( t v ) A ) B ) C Figure 1: Circuits with inductors and capacitors...
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hw11 - • For circuit A — use loop analysis to determine...

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