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The switch in given Figure has been open for a long time and is closed at t = 0. The circuit parameters are L = 1 H, C = 0.5 μF, R = 100 Ω, and v_C(0) = 5 V.

(a) Find v_C(t) and i_L(t) for t ≥ 0.

(b) Is the circuit overdamped, critically damped, or underdamped?

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