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Calculating the Electric Potential from an Electric Field problem

  1. Jun 3, 2007 #1
    1. The problem statement, all variables and given/known data

    A nonconducting sphere has radius R = 2.31cm and uniformly distributed charge q = +3.50 fC. Take the electric potential at the sphere's center to be Vo = 0. What is V at radial distance (a) r = 1.45cm and (b) r = R?

    2. Relevant equations

    V = the negative integral from i to f of E * ds

    For a, E is kqr/R^3.

    For b, E is kq/r^2

    3. The attempt at a solution

    When I plug all this in I get -5.37 x 10^-4 V and -.001V, respectively. However, when I look at the answer explanation in the student manual, it seems to indicate that ds (or in this case rs) = r/2. Why is it r/2? How is the book getting that for ds? At first I thought ds was equal to r, but I guess I'm not grasping something. Could someone explain why this is so? I basically have the right answer, but only if I divide both my answers by 2.
     
  2. jcsd
  3. Jun 3, 2007 #2

    Pythagorean

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    Gold Member

    what are your limits of integration and what's your formula for V after you integrate?
     
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