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).
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
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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