Area of parallel plat capacitor

In summary, the plates of a spherical capacitor have radii of 31.0 mm and 43.0 mm, and the plate area of a parallel-plate capacitor with the same plate separation and capacitance of 12.4pF should be 1.68cm^2, not 1.68 m^2. The correct conversion from square meters to square centimeters is 1m^2 = 10000cm^2.
  • #1
juggalomike
51
0

Homework Statement


The plates of a spherical capacitor have radii 31.0 mm and 43.0 mm.
What must be the plate area of a parallel-plate capacitor with the same plate separation and capacitance of 12.4pF

Homework Equations


C=(epsilon*A)/d

The Attempt at a Solution



12.4*10^-12=(8.85*10^-12*A)/(.012m)

so A=.0168m^2=1.68cm^2, which is incorrect?
 
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  • #2
juggalomike said:
so A=.0168m^2=1.68cm^2, which is incorrect?

0.0168 m2 ≠ 1.68 cm2.

1 square meter does not contain 100 square centimeters. Rather it contains (100 [cm]) X (100 [cm]) = 10000 square centimeters.
 
  • #3
collinsmark said:
0.0168 m2 ≠ 1.68 cm2.

1 square meter does not contain 100 square centimeters. Rather it contains (100 [cm]) X (100 [cm]) = 10000 square centimeters.

Yep lol, thanks, my answer was correct except for the conversion
 

1. What is the formula for calculating the area of a parallel plate capacitor?

The formula for calculating the area of a parallel plate capacitor is A = ε0εr(d/t), where A is the area, ε0 is the permittivity of free space, εr is the relative permittivity of the material between the plates, d is the distance between the plates, and t is the thickness of the plates.

2. How does the area affect the capacitance of a parallel plate capacitor?

The area of a parallel plate capacitor is directly proportional to its capacitance. This means that as the area increases, the capacitance also increases. This is because a larger area allows for more charge to be stored between the plates.

3. Can the area of a parallel plate capacitor be changed after it is constructed?

Yes, the area of a parallel plate capacitor can be changed after it is constructed. This can be done by adjusting the distance between the plates or by changing the size of the plates themselves. However, these changes may also affect the capacitance and other properties of the capacitor.

4. How does the area of a parallel plate capacitor affect its ability to store charge?

The area of a parallel plate capacitor directly affects its ability to store charge. A larger area allows for more charge to be stored between the plates, while a smaller area can only store a limited amount of charge. Therefore, a larger area capacitor has a higher storage capacity compared to a smaller area capacitor.

5. What are some factors that can affect the accuracy of calculating the area of a parallel plate capacitor?

Some factors that can affect the accuracy of calculating the area of a parallel plate capacitor include measurement errors in determining the distance between the plates and the thickness of the plates, variations in the permittivity of the material between the plates, and any irregularities in the shape of the plates.

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