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datran
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Homework Statement
Find the magnetic field from an infinite slab with constant current density, Jo, in the x direction.
ρ(z) = ρ1 x_hat for -b<z<b
ρ(z) = 0 for |z| >= b
Homework Equations
Ampere's Law.
The Attempt at a Solution
I draw a rectangular prism inside the slab with -b<z<b with length 2z.
I use Ampere's Law for the 4 sides and two sides are 0 due to being perpendicular to the current density.
My remaining line integrals give me: 2zB + 2zB = μInet
Inet = Itotal (A of amperian loop / A total slab)
Inet = Itotal (2zxy / 2bxy)
Inet = Jo dot dS (z/b)
I do not know what to do with that integral of Jo dot dS.
Am I on the right track?
Thank you!