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Homework Help: Polarized Slab between Parallel Plate Electrode

  1. Aug 4, 2014 #1
    1. The problem statement, all variables and given/known data
    Find the electric field everywhere for the following permanently polarized structures which do not support any free charge:
    (b) Permanently polarized slab [itex]P_0 i_x[/itex] of thickness [itex]b[/itex] placed between parallel plate electrodes in free space at potential difference [itex]V_0[/itex]

    2. Relevant equations
    [itex]D = ε_0 E + P[/itex]
    [itex]D = εE[/itex]

    3. The attempt at a solution
    [itex]E_0(s-b) + E_i b = V_0[/itex] where E_0 is the electric field outside the slab and E_i is the electric field inside the slab.
    [itex]εE_i = ε_0E_0 + P_0[/itex]
    From here I was thinking, since I have a coupled equation, I would solve for [itex]E_i[/itex] and [itex]E_0[/itex] but I don't know if the above method will work since the value of ε was not given.
    Thanks for the help!

    Attached Files:

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  3. Aug 5, 2014 #2

    Simon Bridge

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    When they say the polarization is permanent - do they mean that it does not depend on the applied field?
  4. Aug 5, 2014 #3
    It does not specify but I believe that is the case.
  5. Aug 5, 2014 #4

    Simon Bridge

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    So what does that tell you about ##\epsilon##?
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