11. The switch in the circuit in Figure has been open for a long time. At t = 0, the switch closes. a) Derive the integrodifferential equation that governs the behavior of the voltage v, for t ≥ 0. b) Show that Vo(s) Vac/RC s² + (1/RC)s + (1/LC) c) Show that lo(s) = Vac/RC s[s² + (1/RC)s + (1/LC)] R t=0 Vac izo C Lolio Po
11. The switch in the circuit in Figure has been open for a long time. At t = 0, the switch closes. a) Derive the integrodifferential equation that governs the behavior of the voltage v, for t ≥ 0. b) Show that Vo(s) Vac/RC s² + (1/RC)s + (1/LC) c) Show that lo(s) = Vac/RC s[s² + (1/RC)s + (1/LC)] R t=0 Vac izo C Lolio Po
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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![11.
The switch in the circuit in Figure has been open for a long time. At t = 0, the switch closes.
a) Derive the integrodifferential equation that governs the behavior of the voltage vo for t≥ 0.
b) Show that
Vac/RC
Vo(s)
s² + (1/RC)s + (1/LC)
c) Show that
lo(s) =
Vac/RC
s[s² + (1/RC)s + (1/LC)]
R
t=0
Vac
Lio Vo
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc12a3358-77cb-4e4c-8e25-68008f46381b%2F89b41082-df47-48c2-8040-831ca82827be%2Flv4x959_processed.png&w=3840&q=75)
Transcribed Image Text:11.
The switch in the circuit in Figure has been open for a long time. At t = 0, the switch closes.
a) Derive the integrodifferential equation that governs the behavior of the voltage vo for t≥ 0.
b) Show that
Vac/RC
Vo(s)
s² + (1/RC)s + (1/LC)
c) Show that
lo(s) =
Vac/RC
s[s² + (1/RC)s + (1/LC)]
R
t=0
Vac
Lio Vo
C
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