(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

an infinite slab is centered on the xy plane. the top of the slap is at z=a/2, the bottom of the slab is at z= -a/2. A volume current (J) is set up within the slab. find B everywhere

J = k (1 - z^2/a^2) [itex]\hat{y}[/itex]

2. Relevant equations

amperes law

3. The attempt at a solution

the only thing I am confused about is finding B inside the slab.

I was going to set up my amperian loop as a rectangle, which is oriented perpendicular to the volume current.

The rectangle would extend a distance z above and below z=0 (z still inside the slab)

however my text book mentions B is discontinious at a surface current, so i am uncertain if my amperian loop takes that into account.

But given the stuff we have learned so far, I am very confident that we are supposed to apply amperes law to this situation.

Can anyone explain if you can still apply amperes law for points inside a volume current?

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# Amperes law: magnetic field inside an infinite slab containing a volume current.

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