Area of parallel plat capacitor

AI Thread Summary
The discussion revolves around calculating the plate area of a parallel-plate capacitor with a specified capacitance of 12.4 pF and a plate separation equivalent to that of a spherical capacitor. The initial calculation yielded an area of 0.0168 m², which was incorrectly converted to 1.68 cm². Participants clarified that 1 m² equals 10,000 cm², indicating a conversion error. The correct area remains 0.0168 m², confirming the initial calculation was accurate aside from the conversion mistake. Accurate unit conversion is crucial in capacitor calculations.
juggalomike
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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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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.
 
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
 
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