10 h 500mh RVL(t) VL(t) LVc(t) - ↓ IL(t) + C 200uF Ic(t)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter8: Symmetrical Components
Section: Chapter Questions
Problem 8.1P
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Question

For the circuit shown, just after t = 0s, the current through the inductor is IL(0+) = 0A and the voltage across the capacitor is Vc(0+) = 0V. 

a)Prove that the natural response of Vc(t) will be
overdamped
b) Find the roots of the characteristic equation that governs the transient behavior of Vc(t)

10 h
500mh
RVL(t)
VL(t) LVc(t)
-
↓
IL(t)
+
C 200uF
Ic(t)
Transcribed Image Text:10 h 500mh RVL(t) VL(t) LVc(t) - ↓ IL(t) + C 200uF Ic(t)
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