An inductor-coil possessing some resistance is connected to an AC source. Which of the following quantities exhibit a zero average value over one complete cycle?

Step-by-step solution

For an AC circuit, the current is given by I = I₀ ( t - ) . The average value of current over one complete cycle is I = 1 T ₀^T I₀ ( t - ) dt = 0 . The Joule heat dissipated per unit time is P = I^2 R = I₀^2 R ^2( t - ) . Its average value over one cycle is P = 1 2 I₀^2 R 0 . The magnetic energy stored in the inductor is U = 1 2 L I^2 = 1 2 L I₀^2 ^2( t - ) . Its average value over one cycle is U = 1 4 L I₀^2 0 . The induced emf in the inductor is e = -L dI dt = -L I₀ ( t - ) . Its average value over one complete c