I set up myself to find the electric field inside a charged circle, but not in the center of the circle. Instead, in a point on a diameter, at a distance R/2 from the center, where R is the radius.
2. The attempt at a solution
I've tried to set up an integral summing the contribution of all the circle but without success. Is it a good idea? How would you proceed?
I know that the electric field must be 0, but as I'm not really convinced, I wanted to verify it.
Any help is appreciated.
[tex]Q=2 \pi R \lambda[/tex].
[tex]dl=xd\theta[/tex] where dl is a differential arc on the circle, [tex]\theta[/tex] is the angle measured from the horizontal diameter to the dl element and x is the distance between the point where I want to find the electric field and the dl element.