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JEE Main 2025 (2 Apr, Shift 2) · Self-Inductance & Energy

Self-Inductance & Energy question from JEE Main 2025 (2 Apr, Shift 2)

Q33JEE Main 2025 · 2 APR · SHIFT 2Medium

Self-Inductance & Energy

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:

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Answer: (a)

Magnetic energy density in a medium $u = \dfrac{B^2}{2\mu}$ with $\mu = \mu_r\mu_0 = 2\mu_0$ .
$U = u \times (\text{volume}) = \dfrac{B^2}{4\mu_0}\times A l$
So the answer is (a) $\dfrac{B^2 A l}{4\mu_0}$ .

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