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  4. A coil of inductive reactance 1/ √3 Ω and resistance 1 Ω is connected to a 200 V, 50 Hz A.C. supply. The time lag between maximum voltage and current is

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

KCETKCET 2017Alternating Current

Solution:

$\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 $