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Electric field of half a spherical shell

  1. Jan 29, 2009 #1
    1. The problem statement, all variables and given/known data

    Hey guys.
    I've been trying to solve this question using Gauss law but I can't think of a surface that can contain this thing.
    Is there another way to solve this?

    Thanks a lot.

    2. Relevant equations

    3. The attempt at a solution

    Attached Files:

  2. jcsd
  3. Jan 30, 2009 #2


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    Maybe it helps to draw a picture... suppose that the symmetry axis is the z-axis. Consider an intersection in the (x, y) plane, i.e. a circle of radius r(z) at height z. Draw some electric field lines to a point on the z-axis... the symmetry will provide some cancellations. If you use an angle [itex]\phi[/itex] to parametrize the circle, then you can divide the circle into small segments of length [itex]r(z) \, d\phi[/itex] and write down the contribution to the E-field from each segment. Once you have that, all you have to do is sum (i.e. integrate) over phi.

    Yes I know, it's a lot of work :sad:
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