For a given ac `i=i_msinomegat`, show that the average power dissipated in a resistor R over complete cycle is `1/2i_m^2R`.

For a given a.c., I = I_0 sin omegat , show that the average power dissipated in a resistor R over a complete cycle is 1/2 I_0^2R .

(a) For a given a.c., i = i_(m) sin wt, show that the average power dissipated in a resistor R over a complete cycle is (1)/(2) i._(m)^(2) R . (b) A light bulb is rated at 100 W for a 220 V a.c. supply. Calculate the resistance of the bulb.

Give the expression for average power dissipated in a resistor over a complete as cycle.

When an ac source is connected to an ideal capacitor, show that the average power supplied by the source over a complete cycle is zero.

When an AC source is connected to an ideal inductor show that the average power supplied by the source over a complete cycle is zero.

In a series LCR circuit, an alternating emf (V) and current (I) are given by the equation V =V_0sinomegat,I=I_0sin(omegat+pi/3) The average power dissipated in the circuit over a cycle of AC is