Determine the voltage across the capacitor, Electrical Engineering

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(a) Let a unit impulse of current i(t) = δ(t) be applied to a parallel combination of R = 3 and C = 1/2 F. Determine the voltage vC(t) across the capacitor.

(b) Repeat (a) for i(t) = δ(t - 3). (Note that the capacitance value is chosen here for calculational ease, even though it is too big and not typical.)

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