Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Know B, find A from B= curl A

  1. Feb 11, 2004 #1
    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. jcsd
  3. Feb 12, 2004 #2

    Tom Mattson

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    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.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook