Question

Solid cylindrical wire of infinitely length has radius R. I, a current, is flowing in the...

Solid cylindrical wire of infinitely length has radius R. I, a current, is flowing in the z direction. Through the cross section of the wire, the current flow is uniformly distributed.

1. Find the current density vector J in the wire. Show your steps and be clear on the formulas.

2. What's the magnitude of the magnetic field at points outside the wire? Use Ampere’s Law.

3. What's the magnitude of the magnetic field at points inside the wire? Again, use Ampere’s Law.

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