Magnetism Question 236

Question: A bar magnet of length $ ‘\ell ’ $ and magnetic dipole moment ?M? is bent in the form of an are as shown in figure. The new magnetic dipole moment will be

Options:

A) $ \frac{3}{\pi }M $

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

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

D) M

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Magnetic dipole moment $ M=m\times \ell $

$ M’=m\times r $ From figure $ \ell =\frac{\pi r}{3} $ or $ r=\frac{3\ell }{\pi } $ so, $ M’=m\times r $

$ =\frac{m\times 3\ell }{\pi }=\frac{3}{\pi }M $