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  4. In an AC circuit, a resistance of R ohm is connected in series with an inductance L. If phase angle between voltage and current is 45°, the value of inductive reactance will be

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Q. In an AC circuit, a resistance of $R\, ohm$ is connected in series with an inductance $L$. If phase angle between voltage and current is $45^{\circ}$, the value of inductive reactance will be

Alternating Current

Solution:

$\tan \phi=\frac{X_{L}}{R} $
$\Rightarrow \tan 45^{\circ}=\frac{X_{L}}{R}=1 $
$\Rightarrow X_{L}=R$