Capacitor Edge Effect: Math Analysis

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    Capacitor Edge
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Discussion Overview

The discussion revolves around the mathematical analysis of the edge effect in parallel plate capacitors, with participants seeking references and clarifications on relevant literature.

Discussion Character

  • Technical explanation
  • Meta-discussion

Main Points Raised

  • One participant requests a mathematical analysis of the edge effect in parallel plate capacitors.
  • Another participant references A. Sommerfeld's "Lectures on Theoretical Physics vol. III" as a source for the semi-infinite case treatment.
  • A participant expresses difficulty in locating the referenced material and seeks further assistance.
  • Another participant comments on the quality of Sommerfeld's work and mentions a specific problem related to the edge effect, suggesting it involves conformal mappings for 2D potential theory.
  • There is a request for a link to the specific problem mentioned in Sommerfeld's book.
  • A participant clarifies that there is no legal link to the book and provides the full citation for it.
  • One participant expresses frustration at not being able to find the book in their library and requests a picture of the worked-out problem.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the availability of the referenced material, and multiple requests for clarification and assistance indicate ongoing uncertainty and disagreement regarding access to the source.

Contextual Notes

Participants mention limitations in accessing the referenced book and the potential outdatedness of some concepts within it, which may affect the discussion's context.

Anastasis Pk
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Hello, I have been searching for a mathematical analysis regarding the edge effect of a parallel plate capacitor. Could anyone help?
 
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There's a treatment of the semi-infinite case in

A. Sommerfeld, Lectures on Theoretical Physics vol. III.
 
Thank you for your response. I can't find that reference in these lectures. Can you help?
 
Well this shows that you didn't consider the really excellent problem set at the end of these books (BTW I think they are masterpieces; concerning classical physics they are among the best sources to learn from, although sometimes they are a bit outdated, e.g., in the use of the "ict convention" for special relativity or in the avoidance of the Dirac ##\delta## distribution (although it was in fact Sommerfeld who invented the concept some decades before Dirac). Anyway, you find the treatment of the edge effect as problem II.4 as an elegant application of conformal mappings for 2D potential theory). Note that all problems have well-worked out solutions!
 
Can I please get the link wherein that book/ that question can be found ??
 
There is no legal link to that book. It's

A. Sommerfeld, Lectures on theoretical physics vol. 3, electrodynamics, Academic Press 1952
 
I cannot find that book, anyhow anyway in my library
Can u please drop in here, the picture of that worked out problem I will be immensely grateful to u for that
Please !
 

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