Electric Field of a Dielectric Sphere

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) = - [tex]\int \stackrel{\rightarrow}{E}[/tex] * [tex]\stackrel{\rightarrow}{dl}[/tex]


3. The attempt at a solution

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.

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 [tex]\frac{Kq}{R}[/tex] but the Electric field of the outside part of the sphere I don't know what to do

obs: the answer is : [tex]\frac{6kq}{R}[/tex]

kuruman

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