Electric field

soccerball3211

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May 16, 2005
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Two curved plastic rods, one of charge +q and the other of charge -q, form a circle of radius R = 6.40 cm in an xy plane. The x axis passes through both of the connecting points, and the charge is distributed uniformly on both rods. If q = 15.3 pC, what is the magnitude of the electric field produced at P, the center of the circle?
The part of the cirle that lies in the first and second quadrants contains +q and the part of the circle that lies in the third and fourth quadrants contains -q.

This is what I did:

let dq=lambda*ds

dE=k*dq/r^2
=k*lambda*ds/r^2
=k*lamda/r^2 integral from 0 to pi*R of ds

This gave me the electric field generated by +q

Can't I just do the same for the electric field generated by -q and then add them together?
 
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