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Total Charge (Spheres and Potential)

  1. Oct 10, 2008 #1
    1. The problem statement, all variables and given/known data
    A conducting sphere of radius a, at potential V0, is surrounded by a thin concentric spherical shell of radius b over which someone has glued a surface charge. sigma = kcos(theta) where k is a constant

    i know V(r, theta) and induced surface charge on the conductor


    2. Relevant equations

    Q = integral (sigma) da

    3. The attempt at a solution
    trying to use equation 1 but i'm not sure first off the limits on r for each
     
  2. jcsd
  3. Oct 10, 2008 #2

    gabbagabbahey

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    da is the infinitesimal area element of the surface...the entire surface is at r=b....what is your expression for da?
     
  4. Oct 10, 2008 #3
    but what about the charge coming from the inner sphere at Vo my da is going to rdrdtheta
     
  5. Oct 10, 2008 #4

    gabbagabbahey

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    why is there a dr term in your da, isn't r constant over a spherical surface?

    Are you trying to compute the total charge on the outer shell, or the conductor, or both?
     
  6. Oct 10, 2008 #5
    trying to find the charge for both
     
  7. Oct 10, 2008 #6

    gabbagabbahey

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    Well, you'll have to compute the charge of each individually and then add them up.
     
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