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Homework Help: Electic potential on a cone

  1. Jul 21, 2004 #1
    Thanks for taking the time to look at this. I'm getting ready to go to grad school, and I'm realizing that although I did ok in my classes, there are large gaps in my knowledge of physics. That said, I'm currently trying to work my way through an E&M book, and now I'm stuck.

    Here's the problem

    Pretend that you have an open ended cone with the vertex at the origin and the fat end a distance located at a height R. Coincidently, the Radius of the cone at this height is also R. This cone also carries a uniform surface charge sigma. Find the potential difference between the vertex of the cone and the point at the center of the its base.

    So obviously, V = 1 / (4 * pi * e0) * 2pi * int(sqrt(2)*r'dr / r) * sigma

    (right)

    so it's pretty easy to solve for the vertex, but I can't figure out how to solve the integral for the other point.
    Thanks for the help
    James
     
  2. jcsd
  3. Jul 23, 2004 #2
    Try setting up the integrand using cylindrical coordinates [tex](r, \theta, z)[/tex] since that is an obvious choice for cylindrical symmetry (note: you can also use spherical coordinates...they might seem more logical at first sight).
     
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