A current i is flowing in a conductor of

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Target Exam

CUET

Subject

Physics

Chapter

Magnetism and Matter

Question:

A current i is flowing in a conductor of length l. When it is bent in the form of a loop then its magnetic moment will be-

Options:

$\frac{Il^2}{4\pi}$

$\frac{I^2}{4\pi}$

$\frac{4\pi}{Il^2}$

$4\pi Il^2$

Correct Answer:

$\frac{Il^2}{4\pi}$

Explanation:

$M = IA = I\pi r^2$

$2\pi r = l$

$\Rightarrow M = I \pi \frac{l^2}{4\pi^2} = \frac{Il^2}{4\pi}$