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

About Dirichlet problem of Laplacian equation in 3D sperical coordinates

  1. Oct 8, 2011 #1
    i wanted to solve an electrostatic problem that includes an infinite conical conductor whose vertex is the origin of the spherical coordinates,
    and i knew that the general solution of laplacian equation in spherical coordinates is:
    u(r,θ)=Ʃ(An*rn+Bn*r-n-1), n>=0
    however, the boundary conditions on the cone prevents me from getting an overall analytical solution.

    the boundary conditions are that:
    u(r,θ0)=u0, where θ0 is the angle of the cone and u0 is the conductor's potential, which is a constant.

    anyone has some advice on solving this Dirichlet problem?
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?