1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

More Vector Potential

  1. May 30, 2007 #1
    1. The problem statement, all variables and given/known data
    Find the vector potential and magnetic field everyehere of a cylinder of radius R and length L which carries a magnetization [itex] \vec{M} = ks^2 \hat{\phi} [/itex] where k is a constant and s is the distance from the axis of the cylinder.

    2. Relevant equations
    [tex] A(r) = \frac{\mu_{0}}{4\pi}\int \frac{J_{b}(s')}{s'} d\tau' +\frac{mu_{0}}{4\pi} \int\frac{K_{b}(s')}{s'} da'[/tex]

    [tex] B = \nabla \times A [/tex]
    3. The attempt at a solution
    Ok so lets consider the inside part
    the surface charge is zero inside the cylinder
    [tex] A(r) = \frac{\mu_{0}}{4\pi} \int\frac{J_{b}(s')}{s'} d\tau' [/tex]

    [tex] J_{b}(s) = \nabla \times M = 3ks \hat{z} [/tex]

    so [tex] A(r) = \frac{\mu_{0}}{4\pi} \int\frac{J_{b}(s')}{s'} d\tau' [/tex]

    [tex] A(r) = \frac{\mu_{0}}{4\pi} \hat{z}\int\frac{3ks'}{s'} s'ds'd\phi' dz' [/tex]

    is the setup right??

    thanks for your help and advice!!
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?

Similar Discussions: More Vector Potential
  1. Orbits and potential (Replies: 0)

  2. Potential Energy (Replies: 0)