Question

i(t) R1 L1 Tooth 0.5H R2 350 V1 = 12V C1 + 2F Vo(t) 9 opens at t=0 Fig. 1. Switched RLC circuit. Switch S1 opens at t = 0 S.

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Answer #1

The circuit is simulated in Multisim software as per the instructions given. Since negative time doesn't exist in nature, the circuit is simulated by opening the switch at t=1 sec and simulating it from t = 0 to t = 7 seconds. If we shift the obtained graph to the left by one second the output is the required one. As no initial conditions are given the circuit is assumed to have '0' volts and '0' Amperes at t= -1 s (in sim. at t = 0s). The circuit simulation and graph are given below:

The switch is 'ON' for 1 sec. and remains open for next seven seconds (however we simulated for total of six seconds only). Ask for queries if any.

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