Question

Consider the circuit shown in Fig. 1 with Vs=10V. Assume there is no initial energy stored in the circuit, and the switch S was opens for a long time and it closes at time t-0 second. 1. For each of the following cases, find the expression of the voltage across the capacitor, Vt) for t 0: (a) R-5 k2, L-22 mH, and C 22 nF (b) R-0.5 kQ, L=22 mH, and C-22 nF IfL and C are the same as in parts (a) and (b), for what value of R will the response be critically damped. Find an expression of ve (t)? 2. 3. Repeat parts 1 & 2 with initial voltage across the capacitor equal -10v C Vc (t) Fig. 1

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