How to Calculate Planar Capacitance with Conformal Mapping?

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SUMMARY

The discussion focuses on calculating planar capacitance using the conformal mapping method, particularly when one metal plane is positioned differently relative to another. Participants recommend resources for understanding conformal transformations, specifically citing the book "Classical Electricity and Magnetism" by Panofsky and Phillips as a valuable reference. The need for clear guidance on this topic highlights the complexity of conformal mapping in electrical engineering applications.

PREREQUISITES
  • Understanding of planar capacitance concepts
  • Familiarity with conformal mapping techniques
  • Basic knowledge of electrical engineering principles
  • Access to relevant textbooks or academic resources
NEXT STEPS
  • Research the book "Classical Electricity and Magnetism" by Panofsky and Phillips for foundational knowledge
  • Explore online resources about conformal mapping in electrical engineering
  • Study examples of planar capacitance calculations using conformal transformations
  • Investigate academic papers on advanced applications of conformal mapping in capacitance
USEFUL FOR

Electrical engineers, physics students, and researchers interested in advanced capacitance calculations and conformal mapping techniques.

yzriver
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hi, all:

I am going to calculate the planar capacitance, of which one plane is in different position to anther. For example:

a)
******

.....***********

b)
*
*
*
*
...**************

c)

...*
...*
...*
..*
*
...*************

'*' represents the metal plane.

The conformal mapping method is suggested to solve this problme. However, I can't find a good source to explain it. Could you recommand any book, link, or pdf file?

Thank you.

Jay
 
Physics news on Phys.org
Sorry, I should be question mark in front.
shame.
 
Problems needing conformal transformations are far from funny.
I think that all books named like "classical electricity and magnetism" talk about conformal transformation. I can mention and old one: same name, authors Panofsky and Phillips, Adisson-Wesley.
You can try a Google search. Good look.
 

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