If the switch shown in Figure P5.63 is closed at t = 0 and:

VS = 170V RS = 7 k?

R1 = 2.3k? R2 = 7k?

L = 30mH C = 130?F

determine the current iL through the inductor and the voltage vC across the capacitor as t ??.


As , the circuit will return to DC steady state conditions. In the long-term DC steady state the inductor may be modeled as a short circuit and the capacitor as an open circuit. Therefore, in this case, the current through R2 is zero and thus the voltage across the capacitor must be equal to the voltage across R1. Furthermore, the current through the inductor and R1 is simply VS/(RS + R1).

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