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