Problem 2. 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 = 40 2 t=0 a) Write the differential equation for vC(t). b) Solve for vC(t) L R w 2 mH V₁ = 50 V C i(t) 5 μF i(0)=0 vc(0) = 0 vc(t)

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Author:Robert L. Boylestad
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Problem 2. 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 = 40 2
t=0
a) Write the differential equation for vC(t).
b) Solve for vC(t)
L
R
w
2 mH
V₁ = 50 V
C
i(t)
5 μF
i(0)=0
vc(0) = 0
vc(t)
Transcribed Image Text:Problem 2. 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 = 40 2 t=0 a) Write the differential equation for vC(t). b) Solve for vC(t) L R w 2 mH V₁ = 50 V C i(t) 5 μF i(0)=0 vc(0) = 0 vc(t)
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