What is the capacitance of a wire mesh parallel to a solid plane?

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Discussion Overview

The discussion revolves around estimating the capacitance of a wire mesh or grid positioned parallel to a solid plane. Participants explore theoretical approaches and visualizations related to electromagnetic fields and capacitance, considering both initial approximations and more complex configurations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant suggests that the capacitance of the wire mesh may follow the form of a simple parallel plate capacitor if fringe fields can be neglected.
  • Another participant proposes that if the mesh is open, it might be more accurate to model it as a combination of multiple wires above the plane.
  • A participant expresses uncertainty about visualizing the electric fields when multiple wires are close to the ground plane, questioning whether the total capacitance can be simply derived from the individual capacitances of each wire to the plane.
  • There is a suggestion that if the wires are at the same potential, one could sketch the electric field and equipotential surfaces for a single wire to understand the configuration when multiple wires are used.

Areas of Agreement / Disagreement

Participants generally agree on the need for an initial approximation but express differing views on how to accurately model the capacitance of the wire mesh, indicating that the discussion remains unresolved.

Contextual Notes

Participants note challenges in visualizing electric fields and the implications of wire configurations on capacitance, highlighting potential limitations in their assumptions and the complexity of the problem.

m1985
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Hi Guys,

I seem to have forgotten most of EM, but I was hoping for some help on estimating the capacitance of a wire mesh/grid parallel to a solid plane. I'm guessing that it will follow the form of a simple parallel plate (with the appropriate area factor) if the geometries are such that the fringe fields can be neglected...

Thanks!
 
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That's how I would approach it as an initial approximation. If the mesh is pretty open, it might be better to approximate it as a combination of a bunch of wires over the plane.
 
Thanks... that sounds about right. I'm having a hard time visualizing the E-fields when many wires are placed close together above the ground plane... I'm thinking that the total capacitance isn't simply the summation of the capacitance of each individual wire to the plane...
Thanks!
 
m1985 said:
Thanks... that sounds about right. I'm having a hard time visualizing the E-fields when many wires are placed close together above the ground plane... I'm thinking that the total capacitance isn't simply the summation of the capacitance of each individual wire to the plane...
Thanks!

I'm wondering about that too, but if the wires are at the same potential... You can sketch the E-field and resulting equipotential surfaces for a single wire, and then see what it looks like when you parallel up some wires at the same potential...
 

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