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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Question

Express in terms of L, C and E, the range of values of the resistance R for which oscillations will take place in the circuit shown when switch S is closed.

ellle
Transcribed Image Text:ellle
Expert Solution
Step 1

Write the KVL expression for the given circuit.

E=Rit+Lditdt+1CitdtEss=RIs+LsIs+1sCIsIs=EssR+Ls+1sC=EssLs2+RLs+1LC

Step 2

Write the expression for the natural frequency and the damping coefficient.

ωn=1LC2ζωn=RL2ζ1LC=RLζ=R2CL

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