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Prove. The energy stored in an inductor when there is a steady state current in it is

Proof. During the transient period when the current is increasing form zero to the maximum value of I, the emf of the inductor is given by

During the current buildup, power is supplied to the inductor at a rate of

The energy dW supplied in time dt is

4) dW = Pdt = Li di

and the total energy supplied while the current increases from zero to I is

or

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