Magnetic Effects Of Current Question 438

Question: The magnetic moment of a circular coil carrying current is

Options:

A) directly proportional to the length of the wire in the coil

B) inversely proportional to the length of the wire in the coil

C) directly proportional to the square of the length of the wire in the coil

D) inversely proportional to the square of the length of the wire in the coil

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Answer:

Correct Answer: C

Solution:

[c] $ M=NiA\Rightarrow M\propto A\Rightarrow M\propto r^{2} $ $ [ As,\ell =2\pi r\Rightarrow \ell \propto r ] $
$ \Rightarrow ,M\propto {{\ell }^{2}} $