I think I figured out how to prove it using symmetry arguments. So we know the Net flux is zero since no charges are enclosed in the shell. So if we take any point, we know that the electric field radiates in a symmetric way, 360 degrees throughout the closed surface. This would imply there's a...
I still do not understand it. Why wouldn't there be an Electric field when the gaussian is zero? The positive charges have fields that are radial and emit everywhere. Why wouldn't those field lines radiate into the shell?
Can't it? You can have an electric field line passing through that surface and then exiting. net field is still zero but there is a field. I can see how the center would be zero due to fields cancelling.
hm, you highlighted the word any, let me think about it a bit more.
I am wondering about why the electric field in a hollow sphere with charges on its surface would be zero.
I have thought about the gaussian law argument for it. It only guarantees that the net number of electric field lines that pass the encloved surface are zero. But it says nothing about...