Polarized Slab between Parallel Plate Electrode

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Homework Help Overview

The problem involves finding the electric field in a permanently polarized slab situated between parallel plate electrodes, with a specified potential difference. The context is within the study of electrostatics and dielectric materials.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to establish relationships between the electric fields inside and outside the slab using given equations, while expressing uncertainty about the applicability of their method due to missing information on permittivity.
  • Some participants question the implications of the term "permanently polarized," specifically whether it indicates independence from the applied electric field.
  • There is a follow-up inquiry regarding the implications of permanent polarization on the permittivity value.

Discussion Status

The discussion is ongoing, with participants exploring the meaning of permanent polarization and its effects on the problem setup. There is no explicit consensus yet, but questions raised indicate a productive examination of underlying assumptions.

Contextual Notes

The problem does not provide specific values for permittivity, which is a point of concern for participants as they analyze the equations involved.

Gandhi
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Homework Statement


Find the electric field everywhere for the following permanently polarized structures which do not support any free charge:
(b) Permanently polarized slab P_0 i_x of thickness b placed between parallel plate electrodes in free space at potential difference V_0



Homework Equations


D = ε_0 E + P
D = εE


The Attempt at a Solution


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

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When they say the polarization is permanent - do they mean that it does not depend on the applied field?
 
Simon Bridge said:
When they say the polarization is permanent - do they mean that it does not depend on the applied field?
It does not specify but I believe that is the case.
 
So what does that tell you about ##\epsilon##?
 

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