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Electric field in the center of uniformly polarized cylinder

  1. Aug 12, 2015 #1
    1. The problem statement, all variables and given/known data
    Hollow dielectric cylinder, with inner radius a, outer radius b, and height 2h is uniformly polarized by volume. Polarization vector is normal on the bases of a cylinder. Intensity of polarization vector is given, P. The surrounding area is vacuum. Calculate intensity of electric field in center of the cylinder (at point C)

    2. Relevant equations
    -Cylindrical geometry
    -Polarization vector

    3. The attempt at a solution
    If approximated, intensity of electric field could be E= -P/ε0 (field between two oppositely charged planes). But, we don't know the exact values for dimensions of a cylinder. Could someone give a hint on this, I am stuck here for a while.

    The result should be E= -Ph( 1/(√a2+h2)-1/(√b2+h2)) / ε0

    Thanks for replies.
     

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    Last edited: Aug 12, 2015
  2. jcsd
  3. Aug 12, 2015 #2

    TSny

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    Homework Helper
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    Certain parts of the surface of the cylinder will have an effective surface charge density due to the polarization.
     
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