In the circuit below, the switch has been closed for a long time and opens at t = 0. t=0 X₂ Vs: 30-V RI : 20. Ω R2 = 100-92 R3=40-924 C:=4 µF + पृ (+) 1 Please determine the following. a) The initial voltage vc (0) across the capacitor b) The final voltage vc (o) across the capacitor when the switch is open c) When the switch is open, transform the circuit into a series RC circuit for the transient period. d) Write a differential equation for the capacitor voltage in the circuit shown in part c. e) Find the solution of the differential equation for t≥ 0

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter21: Resistive-capacitive Series Circuits
Section: Chapter Questions
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In the circuit below, the switch has been closed for a long time and opens at t = 0.
t=0
Vs: 30-V
RI
20-92
R2 = 100-92
R3=40-924
C:=4 µF
+
पृ (+)
1
Please determine the following.
a) The initial voltage vc (0) across the capacitor
b) The final voltage vc (∞o) across the capacitor when the switch is open
c) When the switch is open, transform the circuit into a series RC circuit for the transient
period.
d) Write a differential equation for the capacitor voltage in the circuit shown in part c.
e) Find the solution of the differential equation for t≥ 0
Transcribed Image Text:In the circuit below, the switch has been closed for a long time and opens at t = 0. t=0 Vs: 30-V RI 20-92 R2 = 100-92 R3=40-924 C:=4 µF + पृ (+) 1 Please determine the following. a) The initial voltage vc (0) across the capacitor b) The final voltage vc (∞o) across the capacitor when the switch is open c) When the switch is open, transform the circuit into a series RC circuit for the transient period. d) Write a differential equation for the capacitor voltage in the circuit shown in part c. e) Find the solution of the differential equation for t≥ 0
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