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# hw1 - ECE 524 Transients in Power Systems Session 5 Page...

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ECE 524: Transients in Power Systems Session 5; Page 1/2 Spring 2012 ECE 524: Homework #1 Due Session 9 (Feb 1 on campus, February 15 for Engineering Outreach) Solve each of these problems analytically and then simulate them using a transient simulation program. Compare your results. Problem 1. Do the following for the circuit below: R C 2 C 1 C 1 60 µ F = C 2 40 µ F = R 5ohm = The capacitor C 1 in the figure has an initial charge of 1.0 Coulomb; C 2 is discharged. Calculate the following: A. The peak current through the switch B. The current 200 microseconds after the switch closes C. The total energy dissipated in the resistor D. The ultimate energy stored in C 2 E. The ultimate voltage on C 1 F. Verify that energy is conserved Problem 2 : Given the simple LC network with the conditions given below find the following: X C 2 C 1 C 1 60 µ F = Q C1 1C = C 2 40 µ F = Q C2 0C = X 5ohm = at 60Hz A. Find the instantaneous current when the switch closes.

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hw1 - ECE 524 Transients in Power Systems Session 5 Page...

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