When an alternating voltage E = E_o sin $$\omega$$t is applied to a circuit, a current $$I = {I_o}\sin \left( {\omega t + {\pi \over 2}} \right)$$ flows through it. The average power dissipated in the circuit is

A current carrying wire kept in a uniform magnetic field, will experience a maximum force when it is

The voltage across a resistor, an inductor, and a capacitor connected in series to an ac source are 20 V, 15 V and 30 V respectively. The resultant voltage in the circuit is

In a dc circuit the direction of current inside the battery and outside the battery respectively are -