Standard E field problem where I'm to find the field at 3 positions of a hollow sphere that has a charge density k/r^2
r ≤ a
a ≤ r < b
b ≤ r
The Attempt at a Solution
I guess the thing that is tripping me up are the limits. I know that before the radius gets to the inside surface of the sphere the E field is 0. But at a there must be something. But I've gone no measurable distance into a charge region, correct? So it must still be zero, I think.
The second part is just the volume integral of the density from a to r divided by the surface area.
And for three I want to say it will behave like a point charge but the hollowness of the sphere leads me to believe this isnt true. But rather, it should be the whole charge of the sphere from a to b.
I just want to understand conceptually what I'm doing. So no solutions really needed.