A uniform current density J J 0 z fills a slab straddling the yz plane, from x a to x a A magnetic dipole m m 0 x 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 m m 0 y (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) aB y (0,0

Question: A uniform current density J = J 0 z fills a slab straddling the yz plane, from x = a to x = +

A uniform current density J = J₀ z fills a slab straddling the yz plane, from x = – a to x = + a. A magnetic dipole m = m₀ x 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: m = m₀y.

(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).

aB y (0,0.

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a B Ho Jor Prob 514 m B 0 so Eq 63 says F 0 b m B motoJoz so F motoJox c Use p... View full answer

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