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## Homework Statement

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

## Homework Equations

∫Eda=Q/ε

## 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.

Thanks.