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  4. A magnetised steel wire 31.4 cm long has pole strength of 0.2 Am . It is then bent in the form of a semicircle. What is the magnetic moment of the semicircle?

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Q. A magnetised steel wire $31.4 cm$ long has pole strength of $0.2 Am .$ It is then bent in the form of a semicircle. What is the magnetic moment of the semicircle?

Magnetism and Matter

Solution:

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When the wire is bent in the form of a semicircle of radius $r$, then
$L =\pi r =3.14 r$
$r=\frac{L}{3.14}=\frac{31.4}{3.14}=10 cm$
Distance between the two ends of wire
$2 r=20 cm =0.2 m$
$M=m \times 2 r=0.2 \times 0.2$
$M =0.04 Am ^{2}$