An inductor having inductance L and a capacitor having capacitance C are connected in series. The current in the circuit increases linearly in time as described by I = Kt, where K is a constant. The capacitor is initially uncharged. Determine
(a) The voltage across the inductor as a function of time,
(b) The voltage across the capacitor as a function of time, and
(c) The time when the energy stored in the capacitor first exceeds that in the inductor.