- #1
alexmahone
- 304
- 0
- Homework Statement
- Show that the average electric field over a spherical surface, due to charges outside the sphere, is the same as the field at the center.
- Relevant Equations
- This is where I'm stuck.
I'm sure the average is going to be an integral, but [itex]\displaystyle\frac{1}{4\pi R^2}\oint\mathbf{E}\cdot d\mathbf{a}[/itex] gives me a scalar, not a vector.