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Electric field in the center of a circle?

Hi, I am stumped on this question and wish to get some guidance: You are helping to design an electron microscope. A new device to position the electron beam is a charged circle of conducting material, divided into two half circles separated by a thin insulator; one half can have a + charge and the other a - charge. The electron beam will go through the center of the circle, and your job is to calculate the electric field in the center of the circle as a function of the amount of positive charge on one half circle, the amount of negative charge on the other, and the radius of the circle. Use integration. I am confused where to begin. I am guessing I will have to use E = (kq) / r^2 somewhere. Any ideas? Thank you!

Asked By: - 1/22/2007
Best Answer - Chosen by Asker
Use angle as the variable of integration, and decompose the electric field vector between the center and any infinitesimal segment of the circle into x and y components. This is easy, since it's just Sin(a) da and Cos(a) da (while letting r = 1 to simplify things, it doesn't matter since it's a constant). Integrating... More
Answered By: scythian1950 - 1/22/2007
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