Plate materials in capacitors

1. Jul 28, 2012

Hi
I was wondering about an issue i thought about while attending a masters thesis dissertation earlier

does the material of the plate (not the filling dielectric) affect capacitance (even if in the fringing level) ?
Check the attached picture , for a better explanation

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2. Jul 28, 2012

the_emi_guy

The conductive material will not effect capacitance so long as:

1 - Each conductor enforces an equipotential condition across its surface.

2 - The conductive material is well behaved in the presense of the required E-field.

A violation of (1) would be a capacitor with 1 square foot plate used for 1GHz signal.

A violation of (2) would be very high surface charge density, say from combination of high voltage and sharp edge on conductor, causing corona discharge.

3. Jul 28, 2012

But isnt aluminum a "better conductor" ?
isnt having a higher conductivity something that will upset the electric field distribution, since more charges will accumulate on the metal than on the silicon ?

4. Jul 28, 2012

the_emi_guy

"Better conductor" only matters if current is flowing through the conductor.

Capacitance is an electrostatic quantity. Charges are not in motion; they have arrived at their equilibrium positions which, in turn, creates the E field distribution that leads to the measured voltage between plates.

If your frequency is low enough that the charges are able to be, at any frozen moment in time, close to their electrostatic equilibrium positions, then the capacitance will be correspondingly close to the electrostatic capacitance ("quasi-static" approximation).

If your frequency is high enough that the charges are not able to keep up and reach their electrostatic equilibrium positions, then you no longer have equipotential surfaces.

Perhaps what you are saying is that we can extend the quasi-static approximation to higher frequencies in a given geometry if we use better conductors. This is true, but only to a certain extent. Part of the issue is finite propagation velocity. If I had a parallel plate capacitor made with superconducting plates 1 square foot in area, I would not expect to have equipotential surfaces at 1GHz.

Check out the free field solvers available at: http://www.fastfieldsolvers.com. or http://www.rle.mit.edu/cpg/research_codes.htm.

Last edited: Jul 29, 2012
5. Jul 29, 2012