# Electric Field of a Dielectric Sphere

1. Nov 7, 2009

### Marvi

1. The problem statement, all variables and given/known data
A uniform charge q is distributed along a sphere of radius R.
a) What is the Electric Potential in the center of the sphere?

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

3. The attempt at a solution

Last edited: Nov 7, 2009
2. Nov 7, 2009

### kuruman

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.

3. Nov 7, 2009

### Marvi

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 : $$\frac{6kq}{R}$$

4. Nov 7, 2009

### kuruman

Use Gauss's Law to find the field in the two regions.