Capacitance of Wire Loops: Formula for Equal Radii R

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SUMMARY

The capacitance of two metallic wire loops with equal radius R, positioned with their centers aligned vertically and separated by a distance d, does not have a simple formula applicable for all configurations. When the radius R is significantly greater than the distance d, the capacitance can be approximated as that of two parallel wires. For more complex geometries, especially when R is comparable to d, users are advised to utilize the free field solver available at fastfieldsolvers.com to obtain accurate capacitance values.

PREREQUISITES
  • Understanding of capacitance and electric fields
  • Familiarity with wire loop geometries
  • Basic knowledge of electromagnetic theory
  • Experience with simulation software for field analysis
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  • Research the use of the free field solver at fastfieldsolvers.com for capacitance calculations
  • Study the principles of capacitance in parallel wire configurations
  • Explore the effects of wire thickness on coil capacitance
  • Investigate advanced electromagnetic simulation tools for complex geometries
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Electrical engineers, physicists, and students involved in electromagnetic theory, particularly those working on capacitance calculations for wire loops and coils.

csopi
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Hi,

Does anybody know a nice formula for the capacitance of two metallic wire loops with equal radius R?

(The center of the loops are above each other, their distance is d. The whole system is in vacuum)

Thank you!
 
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There will not be a nice formula for that.

If you just need the capacitance value of a specific geometry you can use the free field solver at http://www.fastfieldsolvers.com/.
 
Can you assume the radius R is >> d ?? In which case isn't this just the same as two parallel wires?
 
CWatters: yes, in that case it would be just two parallel wires. However I was looking for a general formula, that works when R ~ d as well. Actually, I'm trying to estimate the capacitance of a coil, because when you have a coil made of thick wire and you have just a few turns, it cannot be negected in general.

the_emi_guy: thank you very much for the software. It seems rather professional. It'll take some time to learn how to use it though.
 

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