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

In summary, we need to calculate the capacitance of a parallel plate capacitor that is quarter-filled with mica and three-quarters filled with air. The total area is 10 cm2 and the distance between the plates is 2mm. To solve this, we can divide the diagram into four capacitors.
  • #1
BeeDee10
2
0
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.
 
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  • #2
Welcome to PF!

Hi BeeDee10! Welcome to PF! :smile:

Hint: divide the diagram into four capacitors. :wink:
 

1. What is the formula for calculating capacitance of a parallel plate capacitor with two media?

The formula for calculating capacitance of a parallel plate capacitor with two media is C = ε₀A/d, where C is the capacitance, ε₀ is the permittivity of free space, A is the area of the plates, and d is the distance between the plates.

2. How does the dielectric constant affect the capacitance of a parallel plate capacitor with two media?

The dielectric constant, represented by ε, is a measure of how well a material can store electric energy. It affects the capacitance of a parallel plate capacitor by increasing it. The higher the dielectric constant, the higher the capacitance will be.

3. Can the capacitance of a parallel plate capacitor with two media be negative?

No, the capacitance of a parallel plate capacitor with two media cannot be negative. It is a measure of how much charge can be stored between the two plates, and cannot be negative.

4. How does changing the distance between the plates affect the capacitance of a parallel plate capacitor with two media?

Changing the distance between the plates will affect the capacitance of a parallel plate capacitor by changing the electric field between the plates. As the distance decreases, the electric field increases, resulting in a higher capacitance. As the distance increases, the electric field decreases, resulting in a lower capacitance.

5. What happens to the capacitance of a parallel plate capacitor with two media when the area of the plates is increased?

As the area of the plates is increased, the capacitance of a parallel plate capacitor also increases. This is because there is more surface area for charge to accumulate, resulting in a higher capacitance.

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