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Find the magnetic field a distance r from the center of a long wire that has radius a and carries a uniform current per unit area j in the positive z direction.

First find the magnetic field outside the wire (i.e., when the distance r is greater than a).

Now find the magnetic field inside the wire (i.e., when the distance r is less than a).

Find the magnetic field a distance r from the center of a long wire that has radius-example-1

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Answer: See attached image.

Find the magnetic field a distance r from the center of a long wire that has radius-example-1
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