Electric Field of a Dielectric Sphere

  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. kuruman

    kuruman 3,449
    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. 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. kuruman

    kuruman 3,449
    Homework Helper
    Gold Member

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