Charge Between two conductors & The Method of Image Charges

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Othman0111
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Homework Statement


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Homework Equations



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The Attempt at a Solution


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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