Magnetic Properties of Matter

JEE Main level, single correct, medium

5 of 57

Question 5 of 57

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 :

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Answer: (D) B2 Al4μ0\frac{\mathrm{B}^2 \mathrm{~A} l}{4 \mu_0}

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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