Capacitance of parallel plate capacitor separated by

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Discussion Overview

The discussion focuses on calculating the capacitance of a parallel plate capacitor that is separated by a conducting material and contains two different dielectric materials, specifically Mica and Quartz. The setup involves two copper plates and a thin copper plate separating the dielectrics.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant inquires about the method to find the capacitance given the specific dimensions and materials involved.
  • Another participant suggests that a diagram key would enhance understanding, particularly regarding the representation of materials and their thickness.
  • A later reply indicates that the copper plate can be treated as having negligible thickness for the purpose of charge displacement, implying it does not contribute to potential difference.
  • Further clarification is provided that the configuration can be viewed as two series capacitors with different dielectrics, and the thickness of the copper plate is considered largely irrelevant unless there are significant gaps due to irregularities.

Areas of Agreement / Disagreement

Participants generally agree on the conceptual approach of treating the setup as two series capacitors with different dielectrics. However, there is no consensus on the relevance of the copper plate's thickness or the impact of potential irregularities.

Contextual Notes

The discussion does not resolve the specific mathematical steps required to calculate the capacitance, nor does it clarify the assumptions regarding the ideal nature of the materials involved.

Devarsh Patel
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How to find capacitance of parallel plate capacitor separated by conducting material with two different dielectric between

Two parallel plate of Cu(5*6*0.1)mm and distance between them is (d=2mm)
a thin Cu-plate of thickness 0.1 mm separates Mica layer & Quartz layer.

how to find capacitance?
 

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Some sort of key for the diagram would help us to understand what you are asking. (Describing what the colours represent would help)
IF the purple slice is representing the copper then you can treat it as having zero thickness because charge displacement requires zero potential difference across it.
 
here I have attached one pic. I hope it would be more clear now.

Thank you
 

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Thanks. That's much better. So what I said applies here. You have two series capacitors with two different dielectrics. The thickness of the copper is pretty much irrelevant. Details of any gaps due to irregularities might be relevant if they are significant compared with the thicknesses of the dielectrics. Again, that's not likely to be an issue - if this is basically a theoretical problem.
 
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