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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. - Physics

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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.

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Solution

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.

Concept: Power in Ac Circuit: the Power Factor
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