Finding the Magnetic Field of two slabs.

AI Thread Summary
The discussion centers on determining the magnetic field at the midpoint (y=0) between two slabs with opposing current directions. While the magnetic field from each slab can be calculated individually, the interaction at y=0 complicates the situation. The confusion arises from the assumption that the magnetic field would be zero at this point due to no net current, but both slabs contribute to the magnetic field. The participant seeks clarification on the appropriate Amperian loop for analysis and whether the magnetic field at y=0 is simply the sum of the fields from both slabs. Understanding the cumulative effect of the magnetic fields from both slabs is crucial for solving the problem.
georgedaisuki
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Homework Statement



There are two slabs on one another. The top slab has current coming out of the page and the bottom slab has current going into the page. y=0 is located between the two slabs. the current density of the top slab is J and the current density of the bottom slab is -J.

Homework Equations


Is the magnetic field due to the top slab the same as the magnetic field due to the bottom slab?
At y=0, what is the magnetic field?


The Attempt at a Solution


Finding the magnetic field of one slab with current going one way is easy enough but I am confused the properties of the magnetic field with two slabs on one another. I thought that at y=0, (between the slabs) since there's no current at y=0, the magnetic field would be zero. But I realized that at y=0, this location will experience magnetic field from both the top and the bottom. So what is the amperian loop for this? Will the loop contain both 2 slabs or will the loop be a box inside the two slabs..?
 
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Would the magnetic field be twice as strong as the magnetic field due to one slab? Is the magnetic field at y=0 the same as the magnetic field due to one slab? I am so confused. I need help.
 
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