The switch in the circuit shown in Fig. P13.32 has been

Chapter 13, Problem 13.32

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The switch in the circuit shown in Fig. P13.32 has been open for a long time. The voltage of the sinusoidal source is The switch closes at Note that the angle in the voltage expression determines the value of the voltage at the moment when the switch closes, that is, a) Use the Laplace transform method to find i for b) Using the expression derived in (a), write the expression for the current after the switch has been closed for a long time. c) Using the expression derived in (a), write the expression for the transient component of i. d) Find the steady-state expression for i using the phasor method. Verify that your expression is equivalent to that obtained in (b). e) Specify the value of so that the circuit passes directly into steady-state operation when the switch is closed. Figure P13.32

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