In an $a c$ circuit a resistance $R$ is connected in series with an inductance $L$. If the phase dif

Question

In an $a c$ circuit a resistance $R$ is connected in series with an inductance $L$. If the phase difference between the voltage and current be $\frac{\pi}{4}$, the value of inductive reactance will be

Professor PC Thomas Classes · Answer

The phase difference $\phi$ is given by $	an \phi = \frac{X_L}{R}$. Since $\phi = \frac{\pi}{4}$ and $	an(\frac{\pi}{4}) = 1$, we get $X_L = R$.