i(0-)=2.6A i(0-)=0A Vc(0-)=24V Vc(0-)=9.6V For t>0, we have a source-free RLC circuit For t>0, we have a RLC circuit with a step voltage source a=10 (alpha) a=20 (alpha) For t>0 the system is critically damped For t>0 the system is underamped The current response is in the form of i(t)=[(A + B*t)e-at] The current response is in the form of i(t)=[ Ae-at] i(t)=-9.6*t*e-2⁰t A i(t)=-t*e-2⁰t A Capacitor voltage at t= is zero Capacitor voltage at t=∞ is NOT zero Inductor current at t=∞ is zero Inductor current at t=% is NOT zero The 30V voltage source has effect on the circuit for t>0 The 30V voltage source has NO effect on the circuit for t>0

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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For the circuit below mark all that apply
30 V +
10 Ω
t = 0
40 Ω
ww
60 Ω
i(t)
1mF
2.5 Η
Transcribed Image Text:For the circuit below mark all that apply 30 V + 10 Ω t = 0 40 Ω ww 60 Ω i(t) 1mF 2.5 Η
☐ i(0-)=2.6A
☐ i(0-)=0A
OVC(0-)=24V
☐ Vc(0-)=9.6V
For t>0, we have a source-free RLC circuit
For t>0, we have a RLC circuit with a step voltage source
a=10 (alpha)
a=20 (alpha)
For t>0 the system is critically damped
For t>0 the system is underamped
The current response is in the form of i(t)=[ (A + B*t)e-at]
The current response is in the form of i(t)=[ Ae-at]
i(t)=-9.6*t*e-20t A
O i(t)=-t*e-20t A
Capacitor voltage at t=∞ is zero
Capacitor voltage at t=∞ is NOT zero
Inductor current at t=∞ is zero
Inductor current at t=∞ is NOT zero
The 30V voltage source has effect on the circuit for t>0
The 30V voltage source has NO effect on the circuit for t>0
Transcribed Image Text:☐ i(0-)=2.6A ☐ i(0-)=0A OVC(0-)=24V ☐ Vc(0-)=9.6V For t>0, we have a source-free RLC circuit For t>0, we have a RLC circuit with a step voltage source a=10 (alpha) a=20 (alpha) For t>0 the system is critically damped For t>0 the system is underamped The current response is in the form of i(t)=[ (A + B*t)e-at] The current response is in the form of i(t)=[ Ae-at] i(t)=-9.6*t*e-20t A O i(t)=-t*e-20t A Capacitor voltage at t=∞ is zero Capacitor voltage at t=∞ is NOT zero Inductor current at t=∞ is zero Inductor current at t=∞ is NOT zero The 30V voltage source has effect on the circuit for t>0 The 30V voltage source has NO effect on the circuit for t>0
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