For t ≥ 0 the voltage across a 200-pF capacitor is 5e^−4000t V.

(a) What is the charge on the capacitor at t = 0 and t= + ∞?

(b) Derive an expression for the current through the capacitor for t ≥ 0.

(c) For t > 0 is the device absorbing or delivering power?