- #1
glueball8
- 346
- 1
Homework Statement
I'll try to describe. There's a circle with radius R and a charge density of positive on the top half of the circle and a charge density of negative on the bottom. What is the electric field at a distance away (a) that's in the middle of the circle?
Homework Equations
[tex] E=\frac{1}{4 \pi \epsilon_{o}} \times \frac{Q}{R^2} [/tex]
The Attempt at a Solution
So I got til here.
[tex] dE=\frac{1}{4 \pi \epsilon_{o}} \times \frac{r}{\sqrt{a^2+r^2}} \times \frac{\pi*r*dr}{a^2+r^2} * X [/tex]
I don't know how to account for the y component of r. It have to times a multiple, X. Is X [tex] \frac{1}{\sqrt{2}} [/tex]? Just a guess.
Then I can take the integral after. Any tip on how to do X?
Thanks.