Target Exam

CUET

Subject

Physics

Chapter

Moving Charges and Magnetism

Question:

A wire of length L metre carrying a current I ampere is bent in the form of a circle. Its magnitude of magnetic moment will be

Options:

$IL/4p$

$I^2L^2/4p$

$I^2L/8p$

$IL^2/4p$

Correct Answer:

$IL^2/4p$

Explanation:

$\text{Length of loop } L = 2\pi r$

$\Rightarrow r = \frac{L}{2\pi}$

$\text{magnetic Moment } M = IA = I\pi r^2 = I \pi \frac{L^2}{4\pi^2}$

$ M =\frac{IL^2}{4\pi}$