Average power associated with an ideal inductor and ideal capacitor over a complete cycle of a.c. is respectively

1. Ideal Inductor:
- The voltage and current in an ideal inductor are out of phase by 90 degrees, with the current lagging the voltage by \(90^{\circ}\).
- The instantaneous power is given by \(p(t)=v(t) \times i(t)\).
- Over a complete cycle, the positive and negative power values cancel out, resulting in an average power of zero.
2. Ideal Capacitor:
- In an ideal capacitor, the voltage and current are also out of phase by 90 degrees, but this time, the current leads the voltage by \(90^{\circ}\).
- Similar to the inductor case, the instantaneous power alternates between positive and negative, resulting in an average power of zero over a complete cycle.