Capacitance of a circular capacitor with two parallel dielectrics

In summary, the conversation discusses a problem with a capacitor and how it can be solved using an equivalent parallel circuit. The suggestion is to slice the capacitor with a vertical cut to create two parallel-plate capacitors, each with its own dielectric constant. The question of how the charge would split in this scenario is also raised.
  • #1
maxipoblete
2
1
Homework Statement
Two circular parallel metallic plates (diameter d) are separated by a distance "h" . Between the plates, there are two parallel dielectrics with constants ε1 and ε2. At the beginning, the plates have a charge Q0 and -Q0. Calculate the capacitance.
Relevant Equations
C=Q/V
Hello, the problem is better illustrated at the picture below.
The capacitor is isolated, with an initial charge Q0. I understand that Q0 does not distribute along the plates homogeneously. How could it be solved with the equivalent parallel circuit?
 

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  • #2
You could slice it with a vertical cut to create two parallel-plate capacitors where each has its own dielectric constant.
 
  • #3
NascentOxygen said:
You could slice it with a vertical cut to create two parallel-plate capacitors where each has its own dielectric constant.
Yeah that's the idea, but how would the charge split? I believe that it would not be half Q0 and half Q0
 

What is capacitance?

Capacitance is the measure of the ability of a system to store an electric charge.

How is capacitance calculated?

Capacitance is calculated by dividing the electric charge on one of the conductors by the potential difference between the conductors.

What is a circular capacitor with two parallel dielectrics?

A circular capacitor with two parallel dielectrics is a type of capacitor with a circular shape that has two insulating materials, called dielectrics, between the two conducting plates.

What factors affect the capacitance of a circular capacitor with two parallel dielectrics?

The capacitance of a circular capacitor with two parallel dielectrics is affected by the distance between the plates, the surface area of the plates, and the dielectric constant of the materials used.

How does the presence of dielectrics affect the capacitance of a circular capacitor?

The presence of dielectrics in a circular capacitor increases the capacitance due to their ability to store more charge than air or vacuum. This is because dielectrics have a higher dielectric constant, which is a measure of their ability to store electrical energy.

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