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Electrostatic potential in Legendre polynomials

  1. May 10, 2010 #1
    1. The problem statement, all variables and given/known data

    Two spherical shells of radius ‘a’ and ‘b’ (b>a) are centered about the origin of the
    axes, and are grounded. A point charge ‘q’ is placed between them at distance R from the
    origin (a<R<b).
    Expand the electrostatic potential in Legendre polynomials and find the Green function of
    the problem as a series. Explicitly find all pre-factors.

    2. Relevant equations

    3. The attempt at a solution

    The potential on the outer shell is q/b and the inner shell q/R, right? How do I represent this in legendre polynomials?
  2. jcsd
  3. May 10, 2010 #2


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    Homework Helper
    Gold Member

    Hi technion, welcome to PF!:smile:

    Is it safe to assume that the the shells are conductors? (You didn't tell us in your problem statement)

    Well, what is your reasoning behind this?

    What is the general expansion of the potential in terms of Legendre polynomials?
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