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Mass m oscillations with conductivity

  1. Feb 12, 2016 #1
    Sphere of mass m, and charge q is hanged on a thread of lenght l in a constant gravitational field g.
    There is infinite horizontal conductive plan which is kept at potential 0.
    Find period of small oscillations of sphere.
    2eaifwo.jpg


    So my question is next, how do i get the force due tu charge q in newtons equation.?
     
  2. jcsd
  3. Feb 12, 2016 #2
    If the bottom surface is a conductor, then there will be an image change of -q. You basically treat the conductor like a mirror. So now in addition to gravity you have attraction between charges.

    So the force on the sphere will roughly be:
    F = mg + kq^2/(2d)^2
    for small oscillations.
     
    Last edited: Feb 12, 2016
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