Question

The current in the shown circuit is found to be $4\sin (314t-\frac{\pi }{4})A$. Find the value of inductance.

Answer 1

Solution:-

In L-R circuit, we have given

V=$V_0\sin \left(314t\right)I=4\sin (314t-\frac{\pi }{4})$

$\varphi =\frac{\pi }{4}$

For calculating $L$, we use,

$\tan \varphi =\frac{\omega L}{R}\Rightarrow L=\frac{R\tan \varphi }{\omega }$

L=$\frac{314.\tan \frac{\pi }{4}}{314}$

L = 1H