A uniform current density J =Jo *zhat fills a slab straddling the yz plane, from x=-a to x=+a. A magnetic dipole m= mo *xhat is situated at the origin.
a) Find the force on the dipole, using F = ▽(m.B)
b) Do the same for a dipole pointing in the y direction m= mo *yhat
Please see the attachment.
The system looks like:
Symmetry dictates that the magnetic field at x>0 is the mirror image of the magnetic field for x<0. Hence the magnetic field along y-axis (x=0) is zero.
We shall use the red Ampere's loop ...
Magnetization Dipole Force are examined. The force on the dipole pointing is determined.