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Finding the potential between two charged conducting shells?

  1. Mar 7, 2012 #1
    1. The problem statement, all variables and given/known data
    Suppose we have an outer shell with charge -2Q and radius b. We also have an inner shell with charge Q and radius a. what is the potential when a<r<b.

    2. Relevant equations

    3. The attempt at a solution
    The method I have been using according to my professor is a mathematical coincidence and the proper method to solving this is to use integrals.

    How I solve it is that I sum the potential of the outer shell with the inner shell. So since we are inside the -2Q shell we have a constant V=-2Q/b. Since we are outside the Q shell we have V=Q/r.

    Thus the resulting potential is V=Q/r-2Q/b.

    I would like to learn the proper method where you have to take infinity as a reference and integrate. And then you get +C somewhere... lol Could someone please explain this? Thanks!
  2. jcsd
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