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A wire of radius a carries a current I in the z direction that is uniformly distributed over its cross- sectional area. Use Ampere's Law to find a formula for the magnetic field inside the wire (including its magnitude and direction). If a = 1.00 mm and I = 200.0 A, what is the maximum strength of B inside the wire, in gauss?

Part 2.) For the wire in this problem, determine the magnetic vector potential A inside it. There are various approaches to this.

One way is to solve Ampere's Law [ ( A) = 0J] with appropriate boundary conditions. Another way is to use the relation of A to magnetic flux, A d = B da. Once you find A, verify that A gives back the field B you found in the previous problem.

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