Q1. In the following circuit, the switch was kept closed for a long time before it was opened at time t = 0. 692 1.5 Ω t

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Q1. In the following circuit, the switch was kept closed for a long time before it was opened at time t = 0. 692 1.5 Ω t=0 12 V 0.1 F 6 V 1.25 H a) Find the initial voltage across the capacitor vc (0) and the initial current in the inductor i, (0-). b) Construct the 2nd order differential equation for the current i, (t). c) Find the roots, s, and s2, of the characteristic equation and indicate whether the circuit is over-, under-, or critically-damped? d) Find the expression for i(t) for t > 0. لسا + VC