Question

Due to a small magnetic dipole of magnetic moment M, the magnetic field at a point (which is at a distance r from centre) is perpendicular to the dipole moment. The magnetic potential at the same point is .

Answer 1

Dear Student,
If magnetic field due to a magnetic dipole at a distance 'r' from its center is perpendicular to the dipole moment of the magnet, then the direction of magnetic vector potential is the $\hat{\varphi }$ direction if we are in the cylindrical coordinate system $(r,\varphi ,z)$.
$\sin ce,\overrightarrow{B}=\overrightarrow{\nabla }\times \overrightarrow{A}$
Regards,
Manoj Singh.