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

Potential distribution in metal cylinder

  1. Jan 11, 2010 #1
    I have an electrode that I'm trying to model. It's got v=0 at z=0, and v=V at z=H. I've been playing around with the poisson equation, and keep getting terrible solutions to PDEs involving Bessel functions. Anyone know if there's a better way to do this (since I can't seem to solve it with the boundary conditions anyhow...and it's not a hw problem, so there's no one to ask)

  2. jcsd
  3. Jan 11, 2010 #2
    What kind of symmetry is there?
  4. Jan 12, 2010 #3


    User Avatar
    Science Advisor

    The answer depends on the boundary condition at r=R.
    Bessel function expansion is the easiest way to do it.
    The solution is given in most math-physics and EM textbooks.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook