Capacitor Edge Effect: Math Analysis

[Anastasis Pk]

Hello, I have been searching for a mathematical analysis regarding the edge effect of a parallel plate capacitor. Could anyone help?

 

[vanhees71]

There's a treatment of the semi-infinite case in

A. Sommerfeld, Lectures on Theoretical Physics vol. III.

 

[Anastasis Pk]

Thank you for your response. I can't find that reference in these lectures. Can you help?

 

[vanhees71]

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concerning classical physics they are among the best sources to learn from, although sometimes they are a bit outdated, e.g., in the use of the "ict convention" for special relativity or in the avoidance of the Dirac $\delta$ distribution (although it was in fact Sommerfeld who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!

 

[person_random_normal]

Can I please get the link wherein that book/ that question can be found ??

 

[vanhees71]

There is no legal link to that book. It's

A. Sommerfeld, Lectures on theoretical physics vol. 3, electrodynamics, Academic Press 1952

 

[person_random_normal]

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 !