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Why does charge on a pointy conductor not uniformly spread?

  1. May 4, 2015 #1
    1. The problem statement, all variables and given/known data
    If charged is place on a spherical conductor, it distributes uniformly. If charged is placed on a conical conductor, it does not spread uniformly.

    2. Relevant equations
    Remember that, in a conductor, the motion of electrons is fluid.

    3. The attempt at a solution
    Taking the given example, a cone, if we placed charge on it, charge would spread. It would spread in the sense that every square centimeter would have a constant charge. Because surface area clumps near the cone's tip, however, charge would be more concentrated there.

    I get the impression that this attempt is bogus. I don't see why a surface's surface area is greater at a vertex than on a flat plane.
     
  2. jcsd
  3. May 4, 2015 #2
    Why do they distribute at all?
     
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