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Homework Help: Coulomb's Law and Integration

  1. Feb 27, 2007 #1
    1. The problem statement, all variables and given/known data

    A rod is bent into a semi circle of 180 degrees. The bottom half has a charge of -q and the top half a charge of q. Find the electric field at the center of the circle, point P.


    2. Relevant equations

    E = kq/r^2


    3. The attempt at a solution

    I tried to set up an integral for this. I know that the horizontal components will cancel out, and the vertical will be additive, pointing in the negative y direction.

    S = integral

    0 - 180 S((2kq/r^2)sin(theta))d(theta), which is (2kq/r^2)(-2)

    4kq/r^2

    which seems wrong.

    Any help?
     
  2. jcsd
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