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When a electric current is flowing in an inductor, there is energy stored in the magnetic field. Considering a pure inductor L, the instantaneous power which must be supplied to initiate the current in the inductor is
P=iv= Li(di/dt)
so the energy input to build to a final current i is given by the integral
Energy stored=integration of P dt
=integration of Li. di
=½LI²
WORK DONE=½LI²
HENCE PROVED
Explanation:
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