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Concentric charged spheres work

  1. Feb 27, 2009 #1
    I have a problem that I am not sure I am working correctly.

    There are 2 concentric spheres, the inner of charge -q and radius Ra and outer of charge +q and radius Rb. I am to find the work that is required to put together these two spheres in such a way.

    Is it enough to find the energy stored in the electric field between them, or would this be incorrect? I guess this would be the same as the energy stored in a spherical capacitor like this.

    [tex] \frac{\epsilon}{2}\int_{r_a}^{r_b} E^{2} d^{3}r [/tex]

    Or, do I have to find first the energy to assemble the inner sphere, and then the outer sphere, and then the work required to bring them together?

    Thank you for any help.
  2. jcsd
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