A series RLC circuit has the following parameters: R = 0.2 2, L = 200 mH, C = 8 mF and V(t) = 10 sin 8at V. The capacitor has an initial charge of 500 mC and no initial current. A. write the differential equation that describes the current in the circuit B. determine the natural frequency and the damping ratio C. solve for the current at any given time and specify the transient and steady state current. (use the conventional solution and MỤC for obtaining the current)

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A series RLC circuit has the following parameters: R = 0.2 Q, L
= 200 mH, C = 8 mF and V(t) = 10 sin 8nt V. The capacitor has
an initial charge of 500 mC and no initial current.
A. write the differential equation that describes the current
in the circuit
B. determine the natural frequency and the damping ratio
C. solve for the current at any given time and specify the
transient and steady state current. (use the conventional
solution and MUC for obtaining the current)
D. express the steady-state current in the amplitude-phase
form.
Transcribed Image Text:A series RLC circuit has the following parameters: R = 0.2 Q, L = 200 mH, C = 8 mF and V(t) = 10 sin 8nt V. The capacitor has an initial charge of 500 mC and no initial current. A. write the differential equation that describes the current in the circuit B. determine the natural frequency and the damping ratio C. solve for the current at any given time and specify the transient and steady state current. (use the conventional solution and MUC for obtaining the current) D. express the steady-state current in the amplitude-phase form.
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