The voltage pulse described by the following equations is impressed across the terminals of a 0.5F capacitor. v(t) = 0 v(t) = 4t V v(t) = 4e (-1) V t0 0t1 1t 00 Derive the expressions for the capacitor current, power, and energy. b. Sketch the voltage, current, power, and energy as functions of time. Line the plots up vertically so that for a given time interval the behavior of each variable can easily be assessed. c. Specify the interval of time when energy is being stored in the capacitor. d. Evaluate the integral f pdt from (i) t=0 to 1 and (ii) t = 1 to %; comment on the significance of these two integrals