# Electric Field of a Dielectric Sphere

## Homework Statement

A uniform charge q is distributed along a sphere of radius R.
a) What is the Electric Potential in the center of the sphere?

## Homework Equations

V(r1)-V(r0) = - $$\int \stackrel{\rightarrow}{E}$$ * $$\stackrel{\rightarrow}{dl}$$

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## Answers and Replies

kuruman
Homework Helper
Gold Member
You will need to find the electric field both inside and outside the field and integrate the expression you posted from infinity to R using the field outside and then from R to zero using the field inside.

Thanks for answering, but actually I can't find the expression for the second part of the Electric field

The first is inside the sphere wich leads to $$\frac{Kq}{R}$$ but the Electric field of the outside part of the sphere I don't know what to do

obs: the answer is : $$\frac{6kq}{R}$$

kuruman