NeedPhysHelp8
Nov22-10, 05:18 PM
1. The problem statement, all variables and given/known data
There is an infinite slab of material with magnetic susceptibility \chi_m parallel to xy plane and between z=-a and z=a. There is a free current with density J=J_0 \frac{z}{a} in the x direction, so it's positive for z>0, and negative for z<0.
What is the H field inside and outside the material? also asks for B and M but I figure those should be easy once I get H.
2. Relevant equations
I'm not quite sure if we can use this:
\int H \cdot dl = I_f_e_n_c
3. The attempt at a solution
Ok I'm not quite sure how to set up this question, or if I can use Amperes law because the current switches direction at the xy plane. I tried putting a rectangular ampere loop sitting on z=0 and going up to z=r with r<a with the enclosed current being I_f_e_n_c= \int J \cdot da . With this I got H= \frac{J_0 r^2}{2a}
My only problem is I'm not sure that H equals 0 on the xy plane because the current isn't symmetric.
Any help to get me started is much appreciated thanks!
There is an infinite slab of material with magnetic susceptibility \chi_m parallel to xy plane and between z=-a and z=a. There is a free current with density J=J_0 \frac{z}{a} in the x direction, so it's positive for z>0, and negative for z<0.
What is the H field inside and outside the material? also asks for B and M but I figure those should be easy once I get H.
2. Relevant equations
I'm not quite sure if we can use this:
\int H \cdot dl = I_f_e_n_c
3. The attempt at a solution
Ok I'm not quite sure how to set up this question, or if I can use Amperes law because the current switches direction at the xy plane. I tried putting a rectangular ampere loop sitting on z=0 and going up to z=r with r<a with the enclosed current being I_f_e_n_c= \int J \cdot da . With this I got H= \frac{J_0 r^2}{2a}
My only problem is I'm not sure that H equals 0 on the xy plane because the current isn't symmetric.
Any help to get me started is much appreciated thanks!