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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


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    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.
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