3) For the following circuit, the switch is initially closed and has been for a long time. Find the initial values of Vc(t), iL(t), VL(t) and Vr(t) at t=0-, and dil(t)/dt at t=0+. 80 V 30-01 0.1 H iz(t) 50 Ω VL(t) ww · + Vr(t) 50 F Vc(t) 4) Derive the formula for the inductor current iL(t) in problem 3 for t>0. 5) [Skip this!] Derive the formula for the capacitor voltage Vc(t) in problem 3 for t>0. 5) What value of the inductor in problem 3 would make the circuit critically damped?

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