The magnetic potential energy stored in a certain inductor is 25 mJ, when the current in the inductor is 60 mA This inductor is of inductance

Question

The magnetic potential energy stored in a certain inductor is 25 mJ, when the current in the inductor is 60 mA This inductor is of inductance (A) 13.89 H (B) 0.138 H (C) 1.389 H (D) 138.88 H

Tardigrade Admin · Accepted Answer

Energy stored in inductor U = (1/2) LI2 25 × 10-3 = (1/2) × L × (60 × 10-3)2 L = (25 × 2 × 106 × 10-3/3600) = (500/36) = 13.89 H

Q. The magnetic potential energy stored in a certain inductor is $25 m J,$ when the current in the inductor is $60 m A$ This inductor is of inductance

13.89 H

0.138 H

1.389 H

138.88 H

Energy stored in inductor
$U = \frac{1}{2} L I^{2}$
$25 \times 1 0^{- 3} = \frac{1}{2} \times L \times (60 \times 1 0^{- 3})^{2}$
$L = \frac{25 \times 2 \times 1 0 ^{6} \times 1 0 ^{- 3}}{3600}$
$= \frac{500}{36}$
$= 13.89 H$

Q. The magnetic potential energy stored in a certain inductor is 25mJ, when the current in the inductor is 60mA This inductor is of inductance