Finding electrostatic potential from charge distribution

[Plaetean]

Homework Statement

Question

Homework Equations

Equation

The Attempt at a Solution

Attempt I am not sure how to write the |r-r'| in a way that allows me to actually solve the integral. I have tried writing |r-r'| in spherical co ords, but all I seem to be able to get is this as the separation distance, which seems impossible to integrate. Any help on whether I have gone about the problem the wrong way, or a way to write |r-r'| in a more manageable form would be very much appreciated

 

[TSny]

Are you required to first find the potential using the formula you gave? Or, are you allowed to find E using some other equation (or law)?

 

[Plaetean]

No, perhaps I could do it just using Gauss' law instead, might be easier

 

[TSny]

No, perhaps I could do it just using Gauss' law instead, might be easier

Yes, give it a try.