Finding capacitence, used C = (EoA)/d, but didn't work

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Homework Help Overview

The original poster attempts to calculate the capacitance of a parallel-plate capacitor using the formula C = (EoA)/d, where the area and distance between the plates are provided. The problem involves converting units and understanding the relationships between capacitance, charge, voltage, and energy in the context of capacitors.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the conversion of area from cm² to m² and the implications of unit conversion on the calculation of capacitance. There is confusion regarding the correct interpretation of the area measurement and whether the original poster's calculations were accurate.

Discussion Status

Participants are actively clarifying the correct unit conversions and addressing misunderstandings about area measurement. Some guidance has been provided regarding the conversion process, but there is no explicit consensus on the correctness of the original poster's calculations.

Contextual Notes

There is an emphasis on ensuring proper unit conversions, particularly from cm² to m², and a reminder that the area should not be treated as a linear measurement. The original poster's calculations are based on provided values, but there is uncertainty about the conversion process.

mr_coffee
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This seems like a plug n' chug problem but i missed it somehow..
A parallel-plate air-filled capacitor having area 38 cm2 and plate spacing 2.0 mm is charged to a potential difference of 450 V. Find the following values.

(a) the capacitance
wrong check mark pF
(b) the magnitude of the charge on each plate
nC
(c) the stored energy
µJ
(d) the electric field between the plates
V/m
(e) the energy density between the plates
J/m3

So i used C = (EoA)/d
A = .38
V = 450
d = .002m
C = [(8.85e-12)(.38)]/.002
C = 1.68e-9, but the want it in pF, p is e-12, so i moved the decimal over to amek it 1680pF, but it was still wrong, did i mess up converting it from e-9 to e-12?
 
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38 cm^2 = .0038 m^2
 
hm...1 meter = 100 centimeters
38cm/100cm = .38m
 
Area is NOT measured in "cm", but in cm x cm .
as in 10cm x 3.8 cm ... Convert both of them!
 
I know area is m^2, not m, or cm^2, not cm...
The problem already gives me the Area, so its already cm^2:
38 cm^2, so i want to conver that into meters, so .38 m^2. 2.0mm is the distance, i don't square that also.
 
[tex]38 \, cm^2 = 38 \, cm^2 * \frac{1 \, m}{100 \, cm}* \frac{1 \, m}{100 \, cm} = 38*10^{-4} \, m^2 = .0038 \, m^2[/tex]
 
ohhhh my bad, sorry I'm slow hah, thanks guys!
 

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