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Question about polarization density

  1. May 14, 2016 #1
    1. The problem statement, all variables and given/known data
    Given a sphere with radius R, centered at (0,0,0), it's dipole density given as ##P\left(\vec{r}\right)=\alpha\left(R-r\right)\hat{z}## where r is the distance from the center of the ball.

    I'm required to find:
    1. Bound charge density inside the sphere, bound charge density on the surface of the sphere.
    2. Electric potential in the entire space.
    3. Electric field inside the sphere and when r=R.

    2. Relevant equations


    3. The attempt at a solution
    I do not know where and how to start, I thought about converting to spherical coordinates because there is no dependency on ##\theta## or ##\phi## but I don't know how that'll help me.


    Thanks!
     
  2. jcsd
  3. May 14, 2016 #2

    Paul Colby

    User Avatar
    Gold Member

    In your course work, what equation connects charge density with the electric field. Have they talked about ##E## and ##D## fields?
     
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