Q. The resistance of an R-L circuit is $10\ \Omega$. An emf $E_{0}$ applied across the circuit at $\omega = 20\ $rad$\ s^{- 1}.$ If the current in the circuit is $\frac{i_{0}}{\sqrt{2}}$, what is the value of L?
A) 0.5 H
B) 2.25 H
C) 3.9 H
D) 1.0 H
Explanation
(a) $X_{L} = \ \omega L.$
or $L = \frac{X_{L}}{\omega} = \frac{10}{20} = 0.5\ H$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.