MHT CET · Physics · Electromagnetic Induction
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?
- A \(2.00 \mathrm{H}\)
- B \(0.20 \mathrm{H}\)
- C \(200 \mathrm{H}\)
- D \(20 \mathrm{H}\)
Answer & Solution
Correct Answer
(D) \(20 \mathrm{H}\)
Step-by-step Solution
Detailed explanation
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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