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 [2018]

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Solution

Q.
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 [2018]

1 0.138 H

2 138.88 H

3 1.389 H

4 13.89 H

Ans.
(4)

Magnetic potential energy stored in an inductor is given by

$U = \frac{1}{2} L I^{2} \Rightarrow 25 \times 10^{- 3} = \frac{1}{2} \times L \times {(60 \times 10^{- 3})}^{2}$

$L = \frac{25 \times 2 \times 10^{6} \times 10^{- 3}}{3600} = 13.89$ $H$

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