Ac through inductor only

Let an alternating emf be applied to a circuit containing inductor only such type of circuit is called inductive circuit.
Let the emf applied to the circuit is
ac-through-inductor-onlythen the induced emf across the inductor is

This emf opposes the growth of current in the circuit.
Applying kirchhoff’s voltage law in the loop of fig a
ac-through-inductor-onlyintegrating above expression we get
ac-through-inductor-onlyThis is the form of alternating current developed in the purely inductive circuit. equation i and ii shows that in a purely inductive circuit alternating emf leads the alternating current by π/2