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Physics · Electromagnetic Induction

JEE Main 2025 — 2 April, Evening Shift — Question 58

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

  1. Option A:

    B2AlB^{2} A l

  2. Option B:

    B2AIμ0\frac{B^{2} A I}{\mu_{0}}

  3. Option C:

    B2AI2μ0\frac{B^{2} A I}{2 \mu_{0}}

  4. Option D:

    B2AI4μ0\frac{B^{2} A I}{4 \mu_{0}}

    Correct

Answer: D

Step-by-step solution

E=(B22μ)×E=\left(\frac{B^{2}}{2 \mu}\right) \times Volume

μ=2μ0\mu=2 \mu_{0} =B2Al4μ0=\frac{B^{2} A l}{4 \mu_{0}}

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Paper
2 April, Evening Shift
Subject
Physics
Chapter
Electromagnetic Induction
Topic
Self-Inductance and Mutual Inductance and Energy Density
A solenoid having area A and length I is filled with a material… | JEE Main 2025 PYQ with Solution · DhiX AI