The voltage across a 5-μF capacitor is known to be vc = 125t e^(−1000t) V for t ≥ 0.
(a) Find the current through the capacitor for t > 0. Assume the passive sign convention.
(b) Find the power at the terminals of the capacitor when t = 15 μs.
(c) Is the capacitor absorbing or delivering power at t = 15 μs?
(d) Find the energy stored in the capacitor at t = 15μs.