Magnetism Question 245

Question: A steel wire of length $ \ell $ has a magnetic moment M. It is bent in L-shape. The new magnetic moment is

Options:

A) M

B) $ \frac{M}{\sqrt{2}} $

C) $ \frac{M}{2} $

D) $ 2M $

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Answer:

Correct Answer: B

Solution:

[b] Magnetic moment, $ M=m\ell $

$ \frac{M}{\ell }=m $ , where m is the polestrength.

Therefore distance between poles $ =\sqrt{{{(\ell /2)}^{2}}+{{(\ell /2)}^{2}}}=\frac{\ell }{2} $ So, $ M’=\frac{m\ell }{\sqrt{2}}=\frac{M}{\sqrt{2}} $