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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


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    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


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