Magnetic Effects Of Current Question 211

Question: The magnetic moment of a circular coil carrying current is [MP PET 2000]

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:

$ M=NiA\Rightarrow M\propto A $
$ \Rightarrow M\propto r^{2} $ $ ( \text{As}\ l=2\pi r\Rightarrow l\propto r ) $

Þ $ M\propto l^{2} $