Q.
A coil of inductance $300\ mH$ and resistance $2\Omega$ is connected to a source of voltage $2V$. The current reaches half of its steady state value in
A) $0.15\ s$
B) $0.3\ s$
C) $0.05\ s$
D) $0.1\ s$
Explanation
(d) $i = i_{0}\left( 1 - e^{\frac{- Rt}{L}} \right) \Rightarrow$ For $i = \frac{i_{0}}{2},\ t = 0.693\frac{L}{R}$
$\Rightarrow t = 0.693 \times \frac{300 \times 10^{- 3}}{2} = 0.1\ sec$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.