Find voltage v, current i, and energy W in the capacitor of Problem 2.27 at time t = 0, 1, 3, 5, and 10 ms. By integrating the power delivered by the capacitor, show that the energy dissipated in the element during the interval from 0 to t is equal to the energy lost by the capacitor.

Data from problem 2.27

A 10-μF capacitor discharges in an element such that its voltage is v = 2e^−1000t. Find the current and power delivered by the capacitor as functions of time.