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:
Select the correct option:
A
$B^{2} A l$
B
$\frac{B^{2} A l}{4 \mu_{0}}$
C
$\frac{B^{2} A l}{\mu_{0}}$
D
$\frac{B^{2} A l}{2 \mu_{0}}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
$\frac{U}{V}=\frac{B^{2}}{2 \mu_{r} u_{0}} \Rightarrow U=\frac{B^{2}}{4 \mu_{0}} V=\frac{B^{2}}{4 \mu_{0}} A \ell$
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