Capacitor plate current skin effect

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Discussion Overview

The discussion revolves around the behavior of surface charge in capacitors, particularly focusing on the effects of DC and AC potentials, the skin effect, and how physical changes to the capacitor's structure might influence charge distribution and electric field penetration. The scope includes theoretical considerations and conceptual clarifications related to electromagnetism and capacitor dynamics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that the surface charge depth in a charged capacitor with a DC potential is very shallow, potentially only a few angstroms, due to the ability of free electrons in metals like copper to screen opposite charges effectively.
  • Others argue that the surface charge depth does not necessarily increase with an AC current source, stating that the depth of electron displacement is related to voltage and capacitance, and that AC and DC voltages establish the same electron surface depth for the same capacitance.
  • There is a suggestion that a changing current might not cause the electric field to penetrate deeper into the capacitor plate surface than a static electric field, as the initial electric field propagates across the surface rather than penetrating deeply.
  • Some participants discuss the implications of physical changes to the capacitor, such as one plate moving relative to another, and how this might affect charge redistribution and surface current without necessarily leading to deeper penetration of effects.
  • A comparison is made between the behavior of AC current in capacitors versus regular conductors, with a focus on how the electric field drives current in conductors but may behave differently in capacitors due to charge redistribution.
  • There is a question regarding whether using a fine interconnected wire mesh for capacitor plates would allow the electric field to penetrate deeper due to reduced resistance from the conductive surface.
  • An analogy is proposed comparing displacement current to a ship sailing on the sea, suggesting that the electric field drives the displacement current similarly to how water flows beneath a ship.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between AC and DC potentials and their effects on surface charge depth, as well as the impact of physical changes to the capacitor. The discussion remains unresolved with multiple competing perspectives on these topics.

Contextual Notes

Participants note that the depth of electron displacement is contingent on various factors, including voltage and capacitance, and that changes in geometry or material properties can influence charge distribution without necessarily affecting deeper penetration of electric fields.

  • #31
Baluncore said:
A small positive patch, close to a large negative plate, will draw electrons out of the large plate surface. Since C = Q / V, the charge drawn out will be Q = C⋅V ; That is, for a fixed voltage, charge is proportional to the capacitance.

If the positive patch is then moved around on the plate, the mound of electrons on the plate surface will be dragged about, following the moving patch. A momentary surface current of electrons will flow, where the edge of the small moving patch, covers or uncovers the larger plate.
Well , is the surface current that you talk about parallel to the plate surface or perpendicular? Because @Ivan Nikiforov claims and shows even with an animation that there is only perpendicular movement of electrons due to the change in plate location. You left out that distinction but that is an important one, which causes some misunderstanding to me.
 

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