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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
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 t = 0. Note that the angle ϕ 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 t > 0.
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 Ï• so that the circuit passes directly into steady-state operation when the switch is closed.

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