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Irodov's 3.101 Help Required

  1. Sep 2, 2015 #1
    1. The problem statement, all variables and given/known data
    Find the capacitance of an isolated ball-shaped conductor of charge q
    of radius Ri surrounded by an adjacent concentric layer of dielectric
    with permittivity E and outside radius R2.

    2. Relevant equations
    Capture.JPG
    3. The attempt at a solution

    I haven't understood the very first line. Otherwise everything else is fine.
    From the first line, it says that we take a Gaussian surface between R1 and R2, and hence we have a charge q enclosed and we integrate this from R2 to R1. This is also fine. But my problem lies in the step where we take a Gaussian surface outside the capacitor and we integrate it from infinity to R2. But how is the charge enclosed q, should'nt it be zero?
     

    Attached Files:

  2. jcsd
  3. Sep 2, 2015 #2

    ehild

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    Gold Member

    You integrate with respect to r, he distance from the centre, from R2 to infinity. And you need to consider the charge enclosed by the Gaussian surface of radius r.
     
  4. Sep 2, 2015 #3
    aaaahhh! nice! Thank you very much
     
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