Designing a Parallel-plate capacitor

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SUMMARY

The discussion focuses on designing a parallel-plate capacitor with a capacitance of 47.0 pF and a charge capacity of 7.50 nC, utilizing conducting plates and plexiglas insulation. The dielectric constant of plexiglas is specified as 3.40, with a dielectric strength of 4.00 x 107 N/C. Participants emphasize the need to determine relevant dimensions while ignoring fringing effects, and they seek equations that relate capacitance, charge, and physical dimensions of the capacitor.

PREREQUISITES
  • Understanding of capacitor design principles
  • Familiarity with the formula for capacitance: C = εr * (A/d)
  • Knowledge of dielectric materials and their properties
  • Basic skills in geometry for calculating dimensions
NEXT STEPS
  • Research the formula for calculating capacitance in parallel-plate capacitors
  • Study the properties of plexiglas as a dielectric material
  • Explore methods for optimizing capacitor dimensions for compactness
  • Learn about the implications of dielectric strength in capacitor design
USEFUL FOR

Students in electrical engineering, physics enthusiasts, and anyone involved in capacitor design and optimization will benefit from this discussion.

Bloodplasma
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Homework Statement



Desgin a Parallel-plate capacitor with capcitance 47.0 pF and capacity 7.50nC. You have available conducting plates which can be cut to any size, and plexiglas sheet unsulation which can be cut to any size and machined to any thickness. Plexiglas has a dielectric constanr 3.40 and dielectric strength 4.00 * 10^7 N/C. You must make your capacitor as compact as possible in all directions. Specify all relevant dimensions. You may ignore fringing effects at the edges of the capacitor plates.

Homework Equations





The Attempt at a Solution



Any ideas.
 
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I would like to hear some ideas too, since I have the same exact question. this take home is IMPOSSIBLE.
 
Can you start by stating some equations that might be useful in determining how these factors relate to each other? You need to show of your own thoughts here as well.
 

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