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Electric Potential of grounded hollow metal sphere

  1. Feb 26, 2012 #1
    1. The problem statement, all variables and given/known data
    There is a solid metal ball of radius 'a' (with charge Q) that is placed inside a hollow metal sphere (inner radius = 'b', outer radius = 'c'). The metal sphere is grounded (so V = 0 at r = c).
    a) Find the electric potential V everywhere.
    b) Find the charge on the metal shell at r = c and r = b.

    2. Relevant equations
    V = U/q0.
    V = [itex]\frac{1}{4\pi\epsilon_{0}}\int\frac{dq}{r}[/itex]

    3. The attempt at a solution
    I considered the problem case by case:
    r<a : V = [itex]\frac{Q}{4\pi r\epsilon_{0}}[/itex]

    a<r<b
    b<r<c
    r>c

    Would the other three cases have the same result, since electric field is zero when b<r<c and r>c? (actually, when r>c, IS the electric field zero, since the sphere is grounded?)

    Thanks for your help!
     
  2. jcsd
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