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Unformatted text preview: ECE 202H Spring 2011 Page 1 of 4 ECE 202H: Homework #6 Not to be Submitted All problems are provided for practice and are representative of problems that may be included on exams. Laplace Transforms in Circuit Analysis 1. An Indiana University physics Ph.D. student has, after ten years of difficult research, managed to transform a particular differential equation into the complex frequency domain. He has also determined that the differential equation in question may be modeled by the complex frequency circuit, below: Unfortunately for this Ph.D. student, IU does not offer engineering degrees, and no one on the campus has proven capable of converting this frequency domain circuit into the time domain so that he may complete his thesis. In need of help, he has enlisted you, an undergraduate in the ECE program here at Purdue, to solve this problem for him (perhaps prompting you to wonder why you aren’t pursuing a Ph.D. at IU instead of studying ECE at the undergraduate level at Purdue...). To help him earn his Ph.D. (and with the hope that you get a cut of his post-doctoral training salary), complete the following two tasks: a. Convert this frequency domain circuit into the time domain (i.e., R’s, L’s and C’s) b. Determine the initial conditions (at = 0 − ) on each reactive element (i.e., L’s and C’s) Note that there should be only one independent source in your circuit (the input at the left).Note that there should be only one independent source in your circuit (the input at the left)....
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- Spring '11
- Circuit Analysis, initial conditions, ECE 202H, Zero Input Responses