Behaviour of Inductor for Ac and Dc Sources

Ideally, the inductors behaves as a short circuit for the dc and behaves as a open circuit for ac. Generally, it allows dc and opposes ac. Figure 1.6 shows the behaviour of the inductor at ideal condition. 

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The induced emf is represented in time domain by the equation (14). Similarly, the in frequency domain the induced emf is represented by

\small v=j\omega Li                    (19)

From (19)   \frac vi=j\omega L=JX_L     and  X_L=\omega L=2\pi\mathrm{fL}

Where X_L  is the reactance of the inductor measured in ohms and f is the frequency in Hz.