The switch moves from position A to position B at t = 0 30 Ω At=0 ww 80 V dv(0)/dt=-4 V/s ic(0)=-4A ic(0)=-2A a=1.25 v(0-)=0V iL(0-)=2A When the switch is in position B, we have a source-free series RCL circuit When the switch is in position B, we DO NOT have a source-free series RCL circuit dv(0)/dt=-8 V/s a=2.25 W =1 B 0.25 F w=0 = v(t) 4H m 102 v(t) = 2.354e-1-5.089e-0.3t V
The switch moves from position A to position B at t = 0 30 Ω At=0 ww 80 V dv(0)/dt=-4 V/s ic(0)=-4A ic(0)=-2A a=1.25 v(0-)=0V iL(0-)=2A When the switch is in position B, we have a source-free series RCL circuit When the switch is in position B, we DO NOT have a source-free series RCL circuit dv(0)/dt=-8 V/s a=2.25 W =1 B 0.25 F w=0 = v(t) 4H m 102 v(t) = 2.354e-1-5.089e-0.3t V
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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
Transcribed Image Text:The switch moves from position A to position B at t = 0
30 Ω
ww
A
80 V +
a=1.25
a=2.25
W =1
B
w =0
0.25 F
v(0-)=0V
iL(0-)=2A
When the switch is in position B, we have a source-free series RCL circuit
When the switch is in position B, we DO NOT have a source-free series RCL circuit
dv(0)/dt=-8 V/s
dv(0)/dt=-4 V/s
ic(0)=-4A
ic(0)=-2A
+
= v(t)
v(t) = 2.354e-1-5.089e-0.3t V
4H
m
v(t) = 5.333e-2-5.333e-0.5t V
1002
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