V 5X + vc (t) iz(t) M R For the circuit to the left, the battery has V = +50 V, and switch S₁ closes at t = 0. The capac

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V 5x Vc T Iz T M R For The Circuit To The Left The Battery Has V 50 V And Switch S Closes At T 0 The Capac 1 (104.54 KiB) Viewed 18 times

V 5X + vc (t) iz(t) M R For the circuit to the left, the battery has V = +50 V, and switch S₁ closes at t = 0. The capacitor has capacitance C = 100μF and vc (0) = 150 V. The inductor has inductance L = 1H and starts at rest. Part (a): With R = 500, write an ordinary differential equation (ODE) for it (t). Part (b): With R = 5002, specify whether i(t) has an over- damped, critically damped, or underdamped response. Part (c): With R= 2002, write an ODE for iL (t). Part (d): With R= 2002, specify whether it (t) has an overdamped, critically damped, or underdamped response.