<P> Any system possessing a net magnetic dipole moment m will produce a dipolar magnetic field (described below) in the space surrounding the system . While the net magnetic field produced by the system can also have higher - order multipole components, those will drop off with distance more rapidly, so that only the dipolar component will dominate the magnetic field of the system at distances far away from it . </P> <P> In three dimensions, the vector potential of the magnetic field produced by magnetic moment m is </P> <Dl> <Dd> A (r) = μ 0 4 π m × r r 3 (\ displaystyle \ mathbf (A) (\ mathbf (r)) = (\ frac (\ mu _ (0)) (4 \ pi)) (\ frac (\ mathbf (m) \ times \ mathbf (r)) (\ mathbf (r) ^ (3)))) </Dd> </Dl> <Dd> A (r) = μ 0 4 π m × r r 3 (\ displaystyle \ mathbf (A) (\ mathbf (r)) = (\ frac (\ mu _ (0)) (4 \ pi)) (\ frac (\ mathbf (m) \ times \ mathbf (r)) (\ mathbf (r) ^ (3)))) </Dd>

Current loop as a magnetic dipole and its magnetic dipole moment