Question

A coil of inductive reactance $1/\sqrt{3}\Omega$ and resistance $1\Omega$ is connected to $200V$, $50Hz$ A.C. supply. The time lag between maximum voltage and current is

• A. $\frac{1}{600}s$
• B. $\frac{1}{200}s$
• C. $\frac{1}{300}s$
• D. $\frac{1}{500}s$

Answer 1

The correct option is A $\frac{1}{600}s$

$\omega =2\pi f=314rad/s$

$tan\varphi =\frac{1}{1/\sqrt{3}}\to \varphi =\frac{\pi }{6}$

$\omega t=\frac{\pi }{6}$

$t=\frac{1}{600}s$