Show that a purely inductive ac circuit dissipates no power.

Show that a purely capacitative ac circuit dissipates no power.

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

Consider a pure inductive A.C. circuit as shown in the figure. If the average power consumed is P, then

AC voltage is applied on purely inductive circuit of inductance L. If the voltage be e= E_0sin (omegat) then show mathematically current lags behind the voltage by a phase difference pi/2

An ac source is connected in series with an inductor of 5H and a resistor of 1000Omega . The rms value of voltage of the source is 100 V and the frequency of the source is 50cps. What is the rms value of the current in the circuit? What is the phase difference of the voltage and the current in the circuit? What is the power dissipated in the circuit?

60muF capacitor to a 110 V, 60 Hz ac supply. Determine the rms value of the current in the circuit. What is the net power absorbed by the circuit over a complete cycle?

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 .

Show that to get maximum power in an electrical circuit the external resistance should be equal to the internal resistance.

If an uncharged capacitor is connected to a battery, then show that half of the energy supplied by the battery to charge the capacitor is dissipated as heat.