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The switch in the circuit in Fig. P12.30 has been in position a for a long time. At t = 0, the switch moves instantaneously to position b. a) Derive the integrodifferential equation that gov- erns the behavior of the current i, for t > 0*. b) Show that I de[s + (1/RC)] [ + (1/RC)s + (1/LC)]' I (s) Figure P12.30 a Ide 1 D: = 0 R

The switch in the circuit in Fig. P12.30 has been in position a for a long time. At t = 0, the switch moves instantaneously to position b. a) Derive the integrodifferential equation that gov- erns the behavior of the current i, for t > 0*. b) Show that I de[s + (1/RC)] [ + (1/RC)s + (1/LC)]' I (s) Figure P12.30 a Ide 1 D: = 0 R

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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The switch in the circuit in Fig. P12.30 has been in position a for a long time. At t = 0, the switch moves instantaneously to position b. a) Derive the integrodifferential equation that gov- erns the behavior of the current i, for t > 0*. b) Show that I ac[s + (1/RC)] I(s) = [s² + (1/RC)s + (1/LC)]' · Figure P12.30 a Idc IC L
Transcribed Image Text:The switch in the circuit in Fig. P12.30 has been in position a for a long time. At t = 0, the switch moves instantaneously to position b. a) Derive the integrodifferential equation that gov- erns the behavior of the current i, for t > 0*. b) Show that I ac[s + (1/RC)] I(s) = [s² + (1/RC)s + (1/LC)]' · Figure P12.30 a Idc IC L
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