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Q25

Linear Systems

#0000098673

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The switch, S, in the circuit illustrated has been open for a long time. At time t = 0, the switch is closed.

The parameters of the circuit are specified as follows.

C = 200 μ F L = 10 mH R_{1} = 50 Ω R_{2} = 10 Ω R_{3} = 50 Ω V_{s} = 30 V + (40 V) \sin 500 t

What is the magnitude of the voltage across the inductor immediately after the switch is closed?