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Potential inside a sphere with two regions

  1. Nov 3, 2015 #1
    1. The problem statement, all variables and given/known data
    Suppose a charge is distributed in a lower half region of a sphere and the upper half has zero charge. What is the potential inside?

    2. Relevant equations
    Poisson Equation?

    3. The attempt at a solution
    My problem here is I don't know how to start, I think laplace equation can't be used because there is charge inside, so it should be poisson's equation. But what exactly should I do?
     
  2. jcsd
  3. Nov 3, 2015 #2

    mfb

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    I don't think you can avoid an integration over the sphere.
    What is the charge distribution?
     
  4. Nov 6, 2015 #3
    It just said that a charge Q is distributed uniformly in the lower hemisphere. Find the potential inside and outside.
     
  5. Nov 6, 2015 #4

    mfb

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    "uniformly" is the important keyword here.
     
  6. Nov 6, 2015 #5

    TSny

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    Are you meant to find the potential at all points inside, or just on the axis of the hemisphere?
     
  7. Nov 8, 2015 #6
    All points inside the sphere. If it were a hollow sphere, laplace equation will do but for this case, I think it should be poisson equation???
     
  8. Nov 8, 2015 #7

    mfb

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    A mathematical sphere is hollow. Filled it would be a ball.
     
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