Capacitance of parallel plate capacitor separated by

In summary, to find the capacitance of a parallel plate capacitor separated by a conducting material with two different dielectrics between, treat the copper plate as having zero thickness since it requires zero potential difference across it. The thickness of the copper may only be relevant if there are significant gaps due to irregularities.
  • #1
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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  • #2
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.
 
  • #3
here I have attached one pic. I hope it would be more clear now.

Thank you
 

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  • #4
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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FAQ: Capacitance of parallel plate capacitor separated by

What is the formula for calculating the capacitance of a parallel plate capacitor separated by a distance?

The formula for calculating the capacitance of a parallel plate capacitor separated by a distance is C = ε0A/d, where C is the capacitance, ε0 is the permittivity of free space (8.85 x 10^-12 F/m), A is the area of the plates, and d is the distance between the plates.

How does the distance between the plates affect the capacitance of a parallel plate capacitor?

The capacitance of a parallel plate capacitor is inversely proportional to the distance between the plates. This means that as the distance between the plates increases, the capacitance decreases and vice versa.

What is the role of the area of the plates in determining the capacitance of a parallel plate capacitor?

The area of the plates is directly proportional to the capacitance of a parallel plate capacitor. This means that as the area of the plates increases, the capacitance also increases and vice versa.

How does the dielectric material between the plates affect the capacitance of a parallel plate capacitor?

The dielectric material between the plates affects the capacitance by increasing it. This is because the dielectric material has a higher permittivity (ability to store electric charge) than air, which decreases the effective distance between the plates and increases the capacitance.

Can the capacitance of a parallel plate capacitor be increased by adjusting the voltage?

No, the capacitance of a parallel plate capacitor cannot be directly increased by adjusting the voltage. However, increasing the voltage can cause more charge to accumulate on the plates, which can indirectly increase the capacitance.

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