202HW21-32Sp10 - EE202 HOMEWORK PROBLEMS (SET 3) SPRING 10...

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EE202 HOMEWORK PROBLEMS (SET 3) SPRING 10 TO THE STUDENT: ALWAYS CHECK THE ERRATA on the web. Quotes for your Parent's Parties: 1. Only with nodal analysis is the rest of the semester a possibility. –Ray DeCarlo 3. Politics is the art of preventing people from participating in affairs that properly concern them. –Paul Venerey. 4. The true worth of your travels lies not in where you came to be at journey’s end, but in whom you came to be along the way. ---????? 5. A single arrow is easily broken, but not ten in a bundle. –Japanese Proverb 6. Laugh at yourself before anyone else can. –Elsa Maxwell 7. If you are patient in one moment of anger, you will escape a hundred days of sorrow. –Chinese Proverb REVIEW PROBLEM FOR YOUR SPARE TIME, NOT TO BE TURNED IN 1. Consider the circuit This problem is to be solved using nodal analysis. (a) Draw the equivalent frequency domain circuit assuming i L (0 ! ) = 2 Aand v C 1 (0 ! ) = 40 V. (b) Write three nodal equations for the circuit of part (a) only in terms of the voltages V in (s), V out (s), I L (s), and of course the input and initial conditions. SIMPLIFY EACH EQUATION. (c) Put equations in Matrix form. (d) Using Crammer’s rule or equivalent, find the transfer function H ( s ) = V in ( s ) I in ( s ) of the circuit. (e) Find the response of the circuit to i L (0 ! ) = 2 . (f) Find the response of the circuit to v C 1 (0 ! ) = 40 and determine the zero input response. (g) Find the step response (the response due only to the step function with zero initial conditions) and then the zero-state response of the circuit to i in ( t ) = 8 u ( t ) A. (What principle should you use?) (h) Determine the complete response. (i) Find the zero-input response if i L (0 ! ) = 4 and v C 1 (0 ! ) = 20 . (What principle should you use? No additional calculations are necessary as above!!!!!)
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page 2 Spring 08 2 (j) Find the impulse response , i.e., the response due to an impulse input with zero initial conditions. DO NOT REPEAT the calculations done earlier.
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202HW21-32Sp10 - EE202 HOMEWORK PROBLEMS (SET 3) SPRING 10...

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