Capacitance of a circular capacitor with two parallel dielectrics

AI Thread Summary
The discussion centers on calculating the capacitance of a circular capacitor with two parallel dielectrics. It acknowledges that the initial charge Q0 does not distribute evenly across the plates. Participants suggest modeling the system as two parallel-plate capacitors, each with a distinct dielectric constant. The key question raised is how the charge would split between the two dielectrics, with the belief that it would not simply divide equally. This highlights the complexity of charge distribution in capacitors with different dielectric materials.
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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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You could slice it with a vertical cut to create two parallel-plate capacitors where each has its own dielectric constant.
 
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
 
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