Eq.6.3 is F= D(M· B) Problem 6.5 A uniform current density J = Jo z fills a slab straddling the yz plane, from x = -a to x = +a. A magnetic dipole m = то ✰ is situated at the origin. (a) Find the force on the dipole, using Eq. 6.3. = (p V)E are (b) Do the same for a dipole pointing in the y direction: m = тоў. (c) In the electrostatic case, the expressions F = V (p. E) and F equivalent (prove it), but this is not the case for the magnetic analogs (explain why). As an example, calculate (m V)B for the configurations in (a) and (b).

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Can you please go in depth and break this problem down step by step because I'm really struggling. Sorry for it being so late on a Friday 

Eq.6.3
is
F= D(M· B)
Problem 6.5 A uniform current density J = Jo z fills a slab straddling the yz plane,
from x = -a to x = +a. A magnetic dipole m = то ✰ is situated at the origin.
(a) Find the force on the dipole, using Eq. 6.3.
= (p V)E are
(b) Do the same for a dipole pointing in the y direction: m =
тоў.
(c) In the electrostatic case, the expressions F = V (p. E) and F
equivalent (prove it), but this is not the case for the magnetic analogs (explain
why). As an example, calculate (m V)B for the configurations in (a) and (b).
Transcribed Image Text:Eq.6.3 is F= D(M· B) Problem 6.5 A uniform current density J = Jo z fills a slab straddling the yz plane, from x = -a to x = +a. A magnetic dipole m = то ✰ is situated at the origin. (a) Find the force on the dipole, using Eq. 6.3. = (p V)E are (b) Do the same for a dipole pointing in the y direction: m = тоў. (c) In the electrostatic case, the expressions F = V (p. E) and F equivalent (prove it), but this is not the case for the magnetic analogs (explain why). As an example, calculate (m V)B for the configurations in (a) and (b).
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