Question

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

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

Answer 1

Answer: (B)

${\frac{1}{600} \,s}$

Answer 2

$\tan\phi = \frac{wL}{R} = \frac{1}{\sqrt{3}}$
$\Rightarrow \phi = 30$
$\omega t = \frac{\pi}{6}$
$\Rightarrow t = \frac{\pi}{2\pi \left(50\right)\left(6\right)}$
$= \frac{1}{600} \,S$