A current I, distributed uniformly over the surface, flows down a wire of radius a. Find the (a)surface current density, K , (b) magnetic field inside and outside the wire, and (c)magnetic vector potential A inside and outside the wire. I have already solved the magnetic field and the vector potential, but I need the clarifications on the boundaries in getting the vector potential. Given that I set the reference point at a so that A(s=a)=0, and that the field inside the wire is 0, should the vector potential then be 0, too? or do I not ignore that it may be some constant C, and to calculate for that constant since A must be continuous at s=a?

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A current I, distributed uniformly over the surface, flows down a wire of radius a. Find the (a)surface current density, K , (b) magnetic field inside and outside the wire, and
(c)magnetic vector potential A inside and outside the wire.

I have already solved the magnetic field and the vector potential, but I need the clarifications on the boundaries in getting the vector potential.

Given that I set the reference point at a so that A(s=a)=0, and that the field inside the wire is 0, should the vector potential then be 0, too? or do I not ignore that it may be some constant C, and to calculate for that constant since A must be continuous at s=a?

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