Show that in a.c. circuit the, average power dissipated per cycle in a pure inductor is zero.

A voltage V_0sinomegat is applied to a series LCR circuit, Derive the expression for the average power dissipated over a cycle. Under what condition is (i) no power dissipated even though the current flows through the circuit,(ii) maximum power dissipated in the circuit?

Show that a purely inductive ac circuit dissipates no power.

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 .

A circuit is set up connecting L=100 mH, C= 5muF and R= 100Omega is series, An alternating emf of (150sqrt2)vol t,500/piHz is applied across this series combination. Calculate the impedance of the circuit. What is the average power dissipated in the inductor?

A circuit is set up connecting L=100 mH, C= 5muF and R= 100Omega is series, An alternating emf of (150sqrt2)vol t,500/piHz is applied across this series combination. Calculate the impedance of the circuit. What is the average power dissipated in the resistor

Show that the average power consumed in an inductor L connected to an source is zero.

Show that a purely capacitative ac circuit dissipates no power.

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.

Show that in the free oscillations of an LC circuit, the sum of energies stored in the capacitor and the inductor is constant in time.