Solution Found!
A uniform current density fills a slab straddling the yz
Chapter 6, Problem 5P(choose chapter or problem)
Problem 5P
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
Questions & Answers
QUESTION:
Problem 5P
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
ANSWER:
Solution
Step 1 of 5
In this problem, we have to find the magnetic dipole of along x-axis. The free body diagram of this problem is given below.
