Magnetic Effects & Magnetism

JEE Main level, numerical answer, medium

242 of 276

Question 242 of 276

A straight magnetic strip has a magnetic moment of 44Am244 \mathrm{Am}^2. If the strip is bent in a semicircular shape, its magnetic moment will be _______ Am2\mathrm{Am}^2.
(given
π=227\pi=\frac{22}{7} )

Show answer and solution

Answer: 28

Magnetic moment of straight wire =mxℓ=44=\mathrm{mx} \ell=44

Magnetic moment of arc

=m×2r=m×2ℓπ=44×2π=88π=28\begin{aligned}& =\mathrm{m} \times 2 \mathrm{r} \\& =\mathrm{m} \times \frac{2 \ell}{\pi} \\& =\frac{44 \times 2}{\pi}=\frac{88}{\pi}=28\end{aligned}

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