The magnetic potential due to a magnetic dipole at a point on its...

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

$V = \dfrac{{\mu}_{0}}{4\pi}\dfrac{M}{{r}^{2}} . . . \left(1\right)$

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

$1 . 5 \times {10}^{- 5} = {10}^{- 7} \times \dfrac{M}{{\left(20 \times {10}^{- 2}\right)}^{2}} ⇒ M = \dfrac{1 . 5 \times {10}^{- 5} \times 20 \times 20 \times {10}^{- 4}}{{10}^{- 7}} ⇒ M = 1 . 5 \times 4 = 6A{m}^{2}$