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Magnetization Dipole Force

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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

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Solution Summary

Magnetization Dipole Force are examined. The force on the dipole pointing is determined.

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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 ...

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