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JEE Main 20252 AprilEvening Shift
Exam
JEE Main
Year
2025
Date
2 April
Shift
Evening Shift
Subject
Physics
Chapter
Magnetic Properties of Matter

JEE Main 2025 · 2 April · Evening Shift · Physics · Magnetic Properties of Matter

A solenoid having area A and length ' l ' is filled with a material...

A solenoid having area AA and length ' ll ' is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is :

Options

  1. AB2 Alμ0\frac{\mathrm{B}^2 \mathrm{~A} l}{\mu_0}
  2. BB2 Al2μ0\frac{\mathrm{B}^2 \mathrm{~A} l}{2 \mu_0}
  3. CB2Al\mathrm{B}^2 \mathrm{Al}
  4. DB2 Al4μ0\frac{\mathrm{B}^2 \mathrm{~A} l}{4 \mu_0}

Correct answer

D. B2 Al4μ0\frac{\mathrm{B}^2 \mathrm{~A} l}{4 \mu_0}

Step-by-step solution

UV=B22μru0⇒U=B24μ0 V=B24μ0 Aℓ\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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