Know B, find A from B= curl A

1. Feb 11, 2004

jezse

magnetic flux density B for an infinitely long cylindrical conductor of radius b is know:

inside: B = (Mu*R*I)/(2*pi*b^2), R<b

outside: B = (Mu*I)/(2*pi*R^2), R>=b

I need to determine the vector magnetic potential A using only the relation B = curl A (del X A)

2. Feb 12, 2004

Tom Mattson

Staff Emeritus
Of course, the vector potential A is not unique, owing to gauge invariance of physical fields. Thus, you can use any gauge you wish, and an easy one to use is the one in which:

A=(1/2)Bxr

I got this from Goldstein, Classical Mechanics. I can't remember if I got the order of B and r correct, you should verify that curl[A] does indeed equal B.