In a pulse power circuit, the voltage of a 10-μF capacitor is zero for t < 0 and v = 5(1−e−4000t) (t > 0). (a) Symbolically derive the current through the capacitor and the energy stored in the capacitor. (b) Check your derived results by checking numerically the current and the energy stored at t = 0 ms and t = 10 ms with the answers. (c) What are the numerical values of the capacitor’s voltage and current just before and after t = 0 (i.e., vc(0-) = vc(0+) and ic(0-) ≠ ic(0+)? Does this make physical sense? Answer: 200mA, 8.5×10-16 mA, 0J, 0.125 mJ
In a pulse power circuit, the voltage of a 10-μF capacitor is zero for t < 0 and v = 5(1−e−4000t) (t > 0). (a) Symbolically derive the current through the capacitor and the energy stored in the capacitor. (b) Check your derived results by checking numerically the current and the energy stored at t = 0 ms and t = 10 ms with the answers. (c) What are the numerical values of the capacitor’s voltage and current just before and after t = 0 (i.e., vc(0-) = vc(0+) and ic(0-) ≠ ic(0+)? Does this make physical sense? Answer: 200mA, 8.5×10-16 mA, 0J, 0.125 mJ
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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In a pulse power circuit, the voltage of a 10-μF capacitor is zero for t < 0 and v = 5(1−e−4000t) (t > 0). (a) Symbolically derive the current through the capacitor and the energy stored in the capacitor. (b) Check your derived results by checking numerically the current and the energy stored at t = 0 ms and t = 10 ms with the answers. (c) What are the numerical values of the capacitor’s voltage and current just before and after t = 0 (i.e., vc(0-) = vc(0+) and ic(0-) ≠ ic(0+)? Does this make physical sense? Answer: 200mA, 8.5×10-16 mA, 0J, 0.125 mJ
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