Q. What will be the self inductance of a coil, to be connected in a series with a resistance of $\pi\sqrt{3}\Omega$ such that the phase difference between the emf and the current at $50\ Hz$ frequency is $30{^\circ}$
A) 0.5 $henry$
B) 0.03$\ henry$
C) 0.05$\ henry$
D) 0.01$\ henry$
Explanation
(d) $\tan\phi = \frac{X_{L}}{R} = \frac{2\pi vL}{R} \Rightarrow \tan{30{^\circ}} = \frac{2\pi \times 50 \times L}{\pi\sqrt{3}} = 0.01\ H$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.