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## Homework Statement

Consider a charge density of ρ=k/r , k>0 , located between a sphere surface of r=a and another sphere surface of r=b, b>a.

I'm supposed to find the electric field on all space, which I did. Now I have to find the electric potential in all space, which I also did for r>b, but I'm having problems finding it for a<r<b and for r<a.

## Homework Equations

These are the electric field equations I came up with:

r<a : E(r)=0

r>b: E(r)=(k*(b

^{2}-a

^{2)})/(ε

_{0}*2*r

^{2})

a<r<b: E(r)=(k*(1-a

^{2}/r

^{2}))/(2*ε

_{0})

Electric potential for r>b: V(r)=(b

^{2}-a

^{2})/(2ε

_{0}*r)

## The Attempt at a Solution

For finding the EP at r>b I just had to integrate E(r) for r>b with limits between r and ∞ which is equal to V(r)-V(∞) with V(∞)=0, but I cant come up with any solution for the other Epotentials, if someone could give me a hint I would appreciate.

Thanks!