Problem P6.3 (20 points) The switches in the RLC circuit depicted in Figure P6.3 close simultaneously at t = 0. The circuit has no initially stored energy. (a) Construct the circuit in the s-domain corresponding to the RLC circuit for t ? 0. Then simplify the circuit by replacing the sub-circuit to the left of the terminal pair ab by its Thevenin equivalent. (b) Make use of the simplified circuit obtained in Part (a) to determine the capacitor current I(s). (c) Find the capacitor current in the time domain, namely i(t), t ? 0. R2 I=0 t=0 Figure P6.3: Us(t)-40V, Ri = R2 = 1000?, C = 2?F, L = 10H.

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