Question 2: In the circuit shown in Figure 2, let vs(t) = 6u(t), RI = 2 2, R2= 3 Q, L = 5 H,C = 0.5 F, i(0) = 1 A, and v(0) = 2 V. a- Draw the circuit in the s-domain for t 2 0. b- Find Vo(s) in the s-domain. c- Use the initial- and final-value theorems to find vo(0") and vo(0) d- Find vo(t) in the time domain by taking the inverse Laplace transform of Vo(s). KO") R1 Vol) R2 Figure 2

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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Question 2:
In the circuit shown in Figure 2, let vs(t) = 6u(t), R1 = 2 Q, R2= 3 Q, L = 5 H,C = 0.5 F, i(0) =
1 A, and v(0") = 2 V.
a- Draw the circuit in the s-domain for t 2 0.
b- Find Vo(s) in the s-domain.
c- Use the initial- and final-value theorems to find vo(0") and vo(o)
d- Find vo(t) in the time domain by taking the inverse Laplace transform of Vo(s).
v(0")
KO")
R1
Vol)
R2
Figure 2
HIP
Transcribed Image Text:Question 2: In the circuit shown in Figure 2, let vs(t) = 6u(t), R1 = 2 Q, R2= 3 Q, L = 5 H,C = 0.5 F, i(0) = 1 A, and v(0") = 2 V. a- Draw the circuit in the s-domain for t 2 0. b- Find Vo(s) in the s-domain. c- Use the initial- and final-value theorems to find vo(0") and vo(o) d- Find vo(t) in the time domain by taking the inverse Laplace transform of Vo(s). v(0") KO") R1 Vol) R2 Figure 2 HIP
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