Question

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.

Answer 1

The average power supplied by the source over a complete cycle is given as 

P = VIcosϕ

where cosϕ is called the power factor.
For pure inductive circuit, the phase difference between current and voltage is `pi/2`

`=>cosphi=cos""pi/2=0`

Therefore, the average power dissipated is zero.