A uniform current density fills a slab straddling the yz plane, from x = −a to x = +a....

A uniform current density fills a slab straddling the yz plane, from x = −a to x = +a. A magnetic dipole is situated at the origin.

(a) Find the force on the dipole, using Eq. 6.3.

(b) Do the same for a dipole pointing in the y direction

(c) In the electrostatic case, the expressions F = ∇(p · E) and F = (p · ∇)E are equivalent (prove it), but this is not the case for the magnetic analogs (explain why). As an example, calculate (m · ∇)B for the configurations in (a) and (b).

Equation 6.3