For t < 0, the circuit shown in Figure P5.68 is in DC steady state. The switch is closed at t = 0. Determine the current iL through the inductor for t > 0. Assume
R = 3k?, RS = 600?, VS = 2V, C = 2mF, and L = 1mH.
Analysis:
This circuit is not in any usually recognizable format, so write and solve a differential equation that models it. First, recognize that, at t>0, the switch is closed, eliminating R from the circuit. Use KCL to write the equation:
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