Force between 2 parallel, charged, conducting sheets.

AI Thread Summary
The discussion revolves around calculating the force between two parallel, charged conducting sheets with charges Q1 and Q2. The user has established four equations related to the distribution of charges on the inner and outer surfaces of the plates but is unsure how to derive the electric field from this information. There is a sense of frustration as the user perceives the problem as straightforward yet feels stuck at the initial steps. Clarification on how to proceed with finding the electric field and ultimately the force is sought. The conversation highlights the challenges in applying theoretical concepts to practical problems in electrostatics.
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Homework Statement


Two square parallel sheets with area>>distance between them have total charges of Q1 and Q2 on them. What is the force between them?


Homework Equations


Q1in+Q2in=0
Q1in+Q1out=Q1
Q2in+Q2out=Q2
Q1out=Q2out

The Attempt at a Solution


I set up 4 equations for the charges on the inner and outer sides of each plate (shown above)

Now I have no idea how to find the electric field from here. any help?
 
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Or am I doing this wrong?
 
This seems like such an easy problem but I have no idea where to start..
 

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