Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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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
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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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