Suppose that a capacitor with capacitance C is charged to some voltage V and then allowed to discharge through a resistance R. Write an equation governing the rate at which energy in the capacitor decreases with time due to resistive heating. Show that the solution of this equation is E_EM(t) = E_EM(0)e^−2t/RC. You can ignore the internal resistance of the capacitor. Show that the heat produced in the resistor equals the energy originally stored in the capacitor.