Physics - Magnetism Question with Solution | TestHub

The formula to calculate the magnetic potential due to a magnetic dipole can be written as

$V=\frac{{\mu }_0}{4\pi }\frac{M}{r^2} ...\left(1\right)$

Substitute the values of the known parameters into equation (1) and solve to calculate the required magnetic moment of the dipole.

$$\begin{gathered} 1.5\times {10}^{-5}={10}^{-7}\times \frac{M}{{\left(20\times {10}^{-2}\right)}^2} \\ \Rightarrow M=\frac{1.5\times {10}^{-5}\times 20\times 20\times {10}^{-4}}{{10}^{-7}} \\ \Rightarrow M=1.5\times 4=6 \mathrm{A} {\mathrm{m}}^2 \end{gathered}$$