JEE Mains · Physics · STD 12 -6. Electromagnetic induction
A solenoid having area \(A\) and length ' \(l\) ' is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is :
- A \(\frac{\mathrm{B}^2 \mathrm{~A} l}{\mu_0}\)
- B \(\frac{\mathrm{B}^2 \mathrm{~A} l}{2 \mu_0}\)
- C \(\mathrm{B}^2 \mathrm{Al}\)
- D \(\frac{\mathrm{B}^2 \mathrm{~A} l}{4 \mu_0}\)
Answer & Solution
Correct Answer
(D) \(\frac{\mathrm{B}^2 \mathrm{~A} l}{4 \mu_0}\)
Step-by-step Solution
Detailed explanation
\(\frac{\mathrm{U}}{\mathrm{V}}=\frac{\mathrm{B}^2}{2 \mu_{\mathrm{r}} \mathrm{u}_0} \Rightarrow \mathrm{U}=\frac{\mathrm{B}^2}{4 \mu_0} \mathrm{~V}=\frac{\mathrm{B}^2}{4 \mu_0} \mathrm{~A} \ell\)
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