Electric field inside a charged insulator

AI Thread Summary
The discussion focuses on determining the electric field inside a charged insulator, specifically as a function of position x. The user has calculated the electric field outside the insulator as ρ*d/2ε₀ but is uncertain how to express the electric field inside. They recognize that the electric field is linear from x = 0 to x = d/2, with a value of zero at x = 0 and matching the external field at x = d/2. The user seeks clarification on the appropriate equation to represent this linear relationship. Understanding the behavior of the electric field within the insulator is crucial for solving the problem accurately.
Oblivion77
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Homework Statement


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Homework Equations



EA = Qenclosed / epsilon

The Attempt at a Solution



I found the electric field outside to be \rho*d/2\epsilon_{0}. Not sure if that helps, I don't know what to do since it says "as a function of x"
 
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You know it's going to be linear from x = 0 to x = d/2, and at d/2 you know what it is and at 0 it's 0. So ...
 
Hmm i am not sure I follow. I understand its linear from x = 0 to x = d/2 and at d/2 its the same as Eout?
 
That's what it looks like to me.

So what equation expresses that?
 

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