question_answer

In an AC circuit the reactance of a coil is \[\sqrt{3}\] times its resistance, the phase difference between the voltage across the coil to the current through the coil will be:

A) \[\frac{\pi }{3}\]                        

B) \[\frac{\pi }{2}\]

C) \[\frac{\pi }{4}\]                        

D) \[\frac{\pi }{6}\]  

Correct Answer: A

Solution :

[a] It is L ? R Circuit \[{{X}_{L}}=\sqrt{30}R\] \[\tan \phi =\frac{{{X}_{L}}}{R}\frac{\sqrt{3}R}{R}\] \[\phi =\frac{\pi }{3}\,or\,60{}^\circ \]