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## Homework Statement

A spherical shell with inner radius A and outer radius 3A which has a uniform charge density, i.e charge per unit volume, p0. Find difference in electric potential between the center of the shell and a point a distance 2A from the center.

## Homework Equations

The answer given is. -(p0A2)/3ε0

## The Attempt at a Solution

I am completely lost as to what I'm supposed to do here. I would think you'd find the potential at 2A and subtract it from that at the center. But how exactly do you do that?

I integrated the elctric field due to a charged sphere along 2A to A. So that makes:

*∫E*dr= ∫(ρ

*r)/3ε*

That makes:

_{0})dr=VThat makes:

[(ρ

*r*

^{2})/6ε)] from 2A to A which does not equal the answer.I think I'm stumped here. Any help would be greatly appreciated!