Show that the average power supplied to an ideal capacitor 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.

Show that average power over a complete cycle of AC through an ideal inductor is zero.

The average acceleration of a particle performing SHM over one complete oscillation is

Prove that an ideal capacitor in an AC circuit does not dissipate power .

A refrigerator has to transfer an average of 263 J of heat per second from temperature (-10)^@C to 25^@C . Calculate the average power consumed assuming ideal reversible cycle and no other losses.

A series LCR circuit with R=20 Omega ,L=1.5 H and C = 35 mu F is connected to a variable frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit , what is the average pourer transferred to the circuit in one complete cycle?

A circuit containing a 80 mH inductor and a 60 mu F capacitor in series is connected to a 230 V, 50 Hz supply. The resistance of the circuit is negligible. Suppose the circuit in above question has a resistance of 15 Omega . Obtain the average power transferred to each element of the circuit and the total power absorbed.

An ideal gas is taken through the cycle AtoBtoCtoA , as shown in the figure. If the net heat supplied to the gas in the cycle is 5 J, the work done by the gas in the process CtoA is

A 100 muF capacitor is charged with a 50 V source supply. Then source supply is removed and the capacitor is connected across an inductance of reactance 10 Omega , as a result of which 5A current flows through the inductance. Calculate thevalue of the inductance.