Problem 1. A DC source is connected to a series RLC circuit by a switch that closes at t = 0 s, as shown in the circuit below. Assume R = 80 t=0 a) Write the differential equation for vC(t). b) Solve for vC(t) L R 0000 w 2 mH V₁ = 50 V i(t) с 5 μF vc(t) i(0) = 0 vc(0) = 0

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Problem 1. A DC source is connected to a series RLC circuit by a switch that closes at t = 0 s, as shown in the
circuit below. Assume R = 80
t=0
a) Write the differential equation for vC(t).
b) Solve for vC(t)
L
R
0000
w
2 mH
V₁ = 50 V
i(t)
с
5 μF
vc(t)
i(0) = 0
vc(0) = 0
Transcribed Image Text:Problem 1. A DC source is connected to a series RLC circuit by a switch that closes at t = 0 s, as shown in the circuit below. Assume R = 80 t=0 a) Write the differential equation for vC(t). b) Solve for vC(t) L R 0000 w 2 mH V₁ = 50 V i(t) с 5 μF vc(t) i(0) = 0 vc(0) = 0
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