The magnetic potential energy stored in a certain inductor is $25 \mathrm{~mJ}$, when the current in the…

The magnetic potential energy stored in a certain inductor is $25 \mathrm{~mJ}$, when the current in the inductor is $50 \mathrm{~mA}$. What is inductance?
  1. $2.00 \mathrm{H}$
  2. $0.20 \mathrm{H}$
  3. $200 \mathrm{H}$
  4. $20 \mathrm{H}$

Solution

Magnetic potential energy $\mathrm{U}=\frac{1}{2} \mathrm{LI}^2$ $\begin{aligned} & \therefore \mathrm{L}=\frac{2 \mathrm{U}}{\mathrm{I}^2}=\frac{2 \times 25 \times 10^{-3}}{\left(50 \times 10^{-3}\right)^2} \\ & =20 \mathrm{H} \end{aligned}$

Asked in: MHT CET 2021 (21 Sep Shift 1)

Practice more Electromagnetic Induction questions on Aicharya