Designing a Parallel-plate capacitor

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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The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
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