Charge Between two conductors & The Method of Image Charges

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Homework Help Overview

The discussion revolves around the method of image charges in electrostatics, specifically concerning the potential between two conductors. Participants are exploring the implications of boundary conditions and the behavior of the electric potential at specific points.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants express uncertainty regarding their solutions, particularly in relation to the potential at z=0. There is mention of needing to consider an infinite series of image charges, and questions arise about the form of this series and its implications for the problem.

Discussion Status

The discussion is ongoing, with participants questioning their assumptions and interpretations of the problem. Some guidance has been offered regarding the need for mirroring image charges, but there is no consensus on the specific series or solution form yet.

Contextual Notes

Participants note difficulties in finding similar problems online, indicating a potential gap in available resources or examples related to this specific scenario.

Othman0111
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Homework Statement


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Homework Equations



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The Attempt at a Solution


2019-03-09 21.12.56.jpg


I'm sure my solution is wrong because of Φ(z=0) ≠ 0

I searched the internet for a similar problem but I couldn't. Any help will be appreciated.
 

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Othman0111 said:

Homework Statement


View attachment 240018

Homework Equations



View attachment 240020

The Attempt at a Solution


View attachment 240019

I'm sure my solution is wrong because of Φ(z=0) ≠ 0

I searched the internet for a similar problem but I couldn't. Any help will be appreciated.
Each mirror image charge in one plate needs to be mirrored in the other plate, leading to an infinite series.
 
haruspex said:
Each mirror image charge in one plate needs to be mirrored in the other plate, leading to an infinite series.

Can you tell me the series or how the answer look like
 
Othman0111 said:
Can you tell me the series or how the answer look like
http://physicspages.com/pdf/Griffiths%20EM/Griffiths%20Problems%2003.35.pdf
 
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