Capacitance of parallel plate capacitor separated by

AI Thread Summary
To find the capacitance of a parallel plate capacitor with two different dielectrics (Mica and Quartz) separated by a thin copper plate, treat the system as two series capacitors. The copper plate's thickness is negligible for charge displacement, which requires zero potential difference across it. The key to solving the problem lies in understanding the effective dielectric constant of the combined layers. Any irregularities in the gaps may be relevant only if they are significant compared to the dielectric thicknesses. This approach simplifies the calculation for theoretical scenarios.
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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