A steel wire of length l has a magnetic moment M . It is then bent into a semicircular arc. The new magnetic moment is

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A steel wire of length

l

has a magnetic moment

M

. It is then bent into a semicircular arc. The new magnetic moment is

PhysicsMagnetic Properties of MatterNEET

Options:

A $\frac{M}{π}$
B $\frac{2 M}{π}$
C $\frac{3 M}{π}$
D $\frac{4 M}{π}$

Solution:

1636 Upvotes Verified Answer

The correct answer is:

\frac{2 M}{π}

Let pole strength

= m

So,

M = m l

When wire is in form of arc, then the distance between poles

= \frac{2 l}{π}

So,

M^{'} = \frac{m 2 l}{π} = \frac{2 M}{π}

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