4.61. A dc source is connected to a series RLC circuit by a switch that closes at t = 0, as shown in Figure P4.61. The initial conditions are i(0+) = 0 and vc(0+) = 0. Write the dif- ferential equation for vc(t). Solve for vc(t) given that R = 80 N. t = 0 R 2 mH C v, = 50 V i(t) vc(t) 5 µF -

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*P4.61. A dc source is connected to a series RLC
circuit by a switch that closes at t = 0, as
shown in Figure P4.61. The initial conditions
are i(0+) = 0 and vc(0+) = 0. Write the dif-
ferential equation for vc(t). Solve for vc(t)
given that R = 80 2.
t = 0
R
2 mH
+
V = 50 V
i(t)
vclt)
5 µF
i(0) = 0
vc(0) = 0
Figure P4.61
Transcribed Image Text:*P4.61. A dc source is connected to a series RLC circuit by a switch that closes at t = 0, as shown in Figure P4.61. The initial conditions are i(0+) = 0 and vc(0+) = 0. Write the dif- ferential equation for vc(t). Solve for vc(t) given that R = 80 2. t = 0 R 2 mH + V = 50 V i(t) vclt) 5 µF i(0) = 0 vc(0) = 0 Figure P4.61
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