Charge Distribution on Metallic Plates

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Homework Help Overview

The discussion revolves around the charge distribution on four identical metallic plates, with specific attention to the implications of grounding two of the plates. The problem involves understanding how the charge Q on one plate affects the others, particularly in relation to the grounded plates.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the implications of grounding on charge distribution, questioning how the grounded plates maintain zero potential and what that means for the charge on the outer surfaces. There are attempts to relate the potential of the plates to their charge distribution.

Discussion Status

Some participants have offered insights regarding the potential of the grounded surfaces being zero, while others express confusion about how to apply this information effectively. The discussion is ongoing, with various interpretations being explored without a clear consensus.

Contextual Notes

The original poster notes confusion stemming from the grounding of the plates, contrasting this scenario with previous problems where no plates were earthed. This context highlights the complexity introduced by the grounding condition.

surajkaul
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Homework Statement


Four identical metallic plates, each of area A, are seprated by a
distance d as showen in the Figure. Plate 2 is given a charge Q. Plates 1 and 4 Both are earthed.

Homework Equations


  • Charge Distribution i.e. Charge on each Plate and On each Side of the Plate.
  • Will the Outer Surface(Earthed Surface) of the Plates 1 and 4 be having Zero Charge on Them.

The Attempt at a Solution


I really Could not figure out as the Earthed Plates are Confusing Me. I have done similar question where the None of the Plates are Earthed. I tried to start on the same Lines, But ended up confusing myself more. So It will be really Great if I get a good Explanation for this.

Thanks in Advance.
Cheers.
 

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The earthed surface has same potential as Earth - zero. Does this help?
 
aim1732 said:
The earthed surface has same potential as Earth - zero. Does this help?

I know that they at Zero Potential But don't know how to put this Fact to Good Use.
Thanks Anyway. :)
 
You calculate net potential due to all plates at that point and put it equal to zero. This should be related to charges on these plates and hence can give the distribution.
 

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