Calculate capacitance of a parallel plate but of made up of two media

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SUMMARY

The capacitance of a parallel plate capacitor filled with two different media can be calculated using the formula C = εA/d. In this scenario, the capacitor has an area of 10 cm², with 5 cm² filled with mica (εr=6) and the remaining 5 cm² filled with air. The distance between the plates is 2 mm. The problem can be approached by treating the capacitor as two capacitors in series: one filled with mica and the other filled with air, both having a plate separation of 1 mm for the mica section and 2 mm for the air section.

PREREQUISITES
  • Understanding of capacitance and the formula C = εA/d
  • Knowledge of dielectric materials and their relative permittivity (εr)
  • Familiarity with series and parallel capacitor configurations
  • Basic algebra for solving equations
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  • Learn about the effects of different dielectric materials on capacitance
  • Explore the calculation of capacitance for composite dielectrics
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Homework Statement


Calculate capacitance of a parallel plate but of made up o two media!?
The parallel plate capacitor in the figure below is quarter-filled with mica (εr=6). Its remaining ¾ part is filled with air. The total area of the capacitor is 10 cm2 and the distance separating the plates is 2mm. Find the capacitance of this capacitor.
This is the figure: http://postimg.org/image/p2hdvdvld/
Please show steps.
Even my teacher couldn't solve this question correctly, she says we need to have the charge.


Homework Equations





The Attempt at a Solution

 
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You can imagine the given situation like this: two capacitors with plate area 5 cm2 and having plates 1mm apart in series (one of which is filled with mica). Now these two are in parallel with cap. with area 5 cm2 and separation 2mm. You don't need to know charge. Just use the formula C= εA/d
 
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Now, with that wonderful hint, we expect BeeDee10 to post a response which indicates some progress towards solving the problem -- before anyone else offers any help.
 

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