(adsbygoogle = window.adsbygoogle || []).push({}); 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?

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# Coulomb's Law and Integration

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