7. At time t = 0 the charge on a capacitor is decreasing over time and is described as q(t) = CV e-t/RC where C is the capacitance of the capacitor, Vo is a DC voltage source, and R is the resistance in the circuit. The capacitor can be modeled as a parallel plate capacitor with circular plates of radius a and plate separation d, where a >> d. Your answers may include a, d, R, Vo. a. Determine the magnitude of the electric field E(t) in the capacitor. b. Determine the magnitude of the curling magnetic field B(t) inside the capacitor, at the circumference of the capacitor (r = a). c. Determine the magnitude of the of Poynting vector s(t) as a function of time. d. Is energy flowing in or out of the volume of the capacitor? Determine the maximum rate at which energy flows through the volume of the capacitor.