Vs +1 + R VR IR + VL + LV- IL I. C

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

Given the RLC circuit below and given that the sinusoidal voltage source has a magnitude of |Vs|, do the following:

  • Find an expression for the complex gain (|Aω| = V/ Vs)
  • Derive an expression for the cutoff frequencies of the circuit (Note: The cutoff frequency is the frequency at which the output voltage is roughly 1/√2 of the input voltage)
  • What is the expected behavior of the circuit as the frequency approaches infinity? What about when the frequency is 0? Finally, what is the frequency in which the voltage gain will be at maximum? Explain why.
Vs
+1
+
R
VR
IR
+
VL
+
LV-
IL
I.
C
Transcribed Image Text:Vs +1 + R VR IR + VL + LV- IL I. C
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