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 2 a) Write the differential equation for vC(t). b) Solve for vC(t) t=0 R L 0000 www + V₁ = 50 V C 2 mH i(t) C 5 μF i(0)=0 vc(0) = 0 Ve(t)

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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 2
a) Write the differential equation for vC(t).
b) Solve for vC(t)
t=0
R
L
0000
www
+
V₁ = 50 V
C
2 mH
i(t)
C
5 μF
i(0)=0 vc(0) = 0
Ve(t)
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 2 a) Write the differential equation for vC(t). b) Solve for vC(t) t=0 R L 0000 www + V₁ = 50 V C 2 mH i(t) C 5 μF i(0)=0 vc(0) = 0 Ve(t)
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