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Separation of variables, laplace equation

  1. Sep 18, 2012 #1
    1. The problem statement, all variables and given/known data
    Two coaxial pipes(radius a) of the same diameter with a small gap between them are maintained at a potential difference V.

    By separation of variables and fitting coefficient, guess the potential within the pipe, near the gap.



    2. Relevant equations



    3. The attempt at a solution

    Cylindrical laplace equation.
    [itex] \frac{d^2 R}{dr ^2} + \frac{1}{r} \frac{dR}{dr} =0[/itex]

    Wow can I handle the boundary condition at r=a? R=V/2 or R=-V/2 or R=0?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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