Electric Field of a Dielectric Sphere

  1. Nov 7, 2009 #1
    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
     
    Last edited: Nov 7, 2009
  2. jcsd
  3. Nov 7, 2009 #2

    kuruman

    User Avatar
    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.
     
  4. Nov 7, 2009 #3
    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]
     
  5. Nov 7, 2009 #4

    kuruman

    User Avatar
    Homework Helper
    Gold Member

    Use Gauss's Law to find the field in the two regions.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?