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Problem with solving laplace equation with a charged ring

  1. Oct 10, 2016 #1
    1. The problem statement, all variables and given/known data
    A ring charge of total charge Q and radius a is concentric with a grounded conducting sphere of radius b, b < a.
    Determine the potential everywhere. The ring is located in the equatorial plane, so both the sphere and the ring have their center at the same spot.

    2. Relevant equations
    ∇V=0

    3. The attempt at a solution
    Well the region r < b is V = 0.
    At first I thought about using the Laplace equatio for he next zone (b < r < a) making it zero on the surface of the sphere and Q/4πε on the ring, but then I am at a draw and don't know what to do next.
     
  2. jcsd
  3. Oct 10, 2016 #2

    haruspex

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    Everywhere in 3D, or just in the equatorial plane?
     
  4. Oct 10, 2016 #3

    haruspex

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    Don't forget the induced charge on the sphere.
     
  5. Oct 10, 2016 #4
    It is everywhere in 3D.
     
  6. Oct 11, 2016 #5

    haruspex

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    This one looks beyond me. The method of images might be applicable.
     
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