- #1
Gale
- 684
- 2
two wires in the shape of a 9o degrees circular arc of radius R have charges
+(-) Q distributed uniformly on them. They are positioned opposite each other in the second and 4th quadrants. Show that the electric field at the origin is
[tex]\frac{4kQ}{\pi R^2}[/tex]
I tried starting with the electric field of a line
[tex]\frac{2k\lambda}{r}[/tex]
[tex]\lambda=\frac{Q}{d\theta}[/tex]
plugged that in, and then i wasn't sure what to do... integrate with respect to theta? but then i wasn't sure how to do that when theta was in the denom... help?
+(-) Q distributed uniformly on them. They are positioned opposite each other in the second and 4th quadrants. Show that the electric field at the origin is
[tex]\frac{4kQ}{\pi R^2}[/tex]
I tried starting with the electric field of a line
[tex]\frac{2k\lambda}{r}[/tex]
[tex]\lambda=\frac{Q}{d\theta}[/tex]
plugged that in, and then i wasn't sure what to do... integrate with respect to theta? but then i wasn't sure how to do that when theta was in the denom... help?