Physics - Magnetism Question with Solution | TestHub

Given, Radius of coil$\mathrm{r}=10\times {10}^{-2}\mathrm{ }\mathrm{m}$

Number of turns

N = 100 turn, Current in coil i = 1 A

Magnetic moment M = ?

By magnetic dipole moment of current loop

$\mathrm{M}=\mathrm{N}\mathrm{i}\mathrm{A},$where$\mathrm{A}=\mathrm{\pi }{\mathrm{r}}^2$

$\mathrm{M}=\mathrm{N}\mathrm{i}.\mathrm{\pi }{\mathrm{r}}^2$

$=100\times 1\times 3.142\times {\left(10\times {10}^{-2}\right)}^2$

$=100\times 3.142\times 100\times {10}^{-4}$

$=3.142\mathrm{ }\mathrm{A }{\mathrm{m}}^2$