What is the potential difference across the capacitor?

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SUMMARY

The discussion centers on calculating the potential difference across a parallel-plate capacitor with dimensions 2.1 cm x 2.1 cm, charged to ±0.705 nC, and a plate separation of 1.20 mm. The relevant equations include capacitance (C = Q/V) and the formula for capacitance of a parallel-plate capacitor (C = ε * A/d), where ε is the permittivity of free space (8.85 x 10^-12 F/m), A is the area of the plates, and d is the separation distance. The area is calculated as 0.021 m², leading to the potential difference being derived from the correct application of these formulas.

PREREQUISITES
  • Understanding of parallel-plate capacitor theory
  • Familiarity with the concept of capacitance
  • Basic algebra and unit conversion skills
  • Knowledge of the permittivity of free space (ε)
NEXT STEPS
  • Calculate the capacitance using the formula C = ε * A/d
  • Determine the potential difference using the rearranged formula V = Q/C
  • Explore the effects of varying plate separation on capacitance
  • Investigate real-world applications of capacitors in electronic circuits
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as educators and anyone interested in understanding the principles of capacitors and their calculations.

Netsurfer733
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Homework Statement



"Two 2.1cm x 2.1cm plates that form a parallel-plate capacitor are charged to +- 0.705 nC. What is the potential difference across the capacitor if the spacing between the plates is 1.20mm? "

Homework Equations



C = Q/V

C = epsilon * A/d

The Attempt at a Solution



I figure epsilon = 8.85 x 10^-12 F/m
A = area of plates = 0.021 * 0.021 m^2
d = separation of plates = 1.2 x 10^-3 m

And so I've tried plugging it all in and I still didn't get it right. In my attempts, I've tried answering with 2.17, 3.25*10^-12 , and 2.16*10^11 with no luck. Can anyone point out where I've gone wrong?
 
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Have you calculated the potential difference or just tried numbers in random? Show your calculations in detail.

ehild
 
I did - but I apparently suffered a flurry of math errors. I got it anyway :)
 

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