Question

If capacitive reactance is $\sqrt{3}$ times that of resistance in an AC circuit of frequency 50 Hz, then the time lag between current and voltage in milli seconds is (write until two digits after the decimal point.)

Answer 1

$\tan \varphi =\sqrt{3}\Rightarrow \varphi =\frac{\pi }{3}$
$\varphi =\frac{2\pi }{T}\times t$
$\Rightarrow t=\frac{\varphi T}{2\pi }=\frac{\varphi }{2\pi f}$
$t=\frac{\pi }{3}\times \frac{1}{2\pi }\times \frac{1}{50}=\frac{1}{300}$
= $3.33\times {10}^{-3}sec$