Designing a Parallel-plate capacitor

In summary, the task at hand is to design a compact parallel-plate capacitor with a capacitance of 47.0 pF and a capacity of 7.50nC using conducting plates and plexiglas sheet insulation. The plexiglas has a dielectric constant of 3.40 and a dielectric strength of 4.00 * 10^7 N/C. The relevant dimensions must be specified, while disregarding fringing effects at the edges of the capacitor plates. Some possible equations to consider include the relationship between capacitance, charge, and voltage, as well as the parallel-plate capacitance formula.
  • #1
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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  • #2
I would like to hear some ideas too, since I have the same exact question. this take home is IMPOSSIBLE.
 
  • #3
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.
 

What is a parallel-plate capacitor?

A parallel-plate capacitor is a type of electronic component used to store electrical energy. It consists of two parallel conducting plates separated by an insulating material, called a dielectric.

How do you design a parallel-plate capacitor?

To design a parallel-plate capacitor, you need to consider the desired capacitance, plate area, and distance between the plates. The formula for capacitance is C = εA/d, where C is capacitance, ε is the permittivity of the dielectric material, A is the plate area, and d is the distance between the plates.

What materials are commonly used for the plates and dielectric in a parallel-plate capacitor?

The plates in a parallel-plate capacitor are typically made of conductive materials such as metal, while the dielectric can be made of materials like ceramic, plastic, or air. The choice of materials depends on the desired capacitance, size, and other factors.

How can you increase the capacitance of a parallel-plate capacitor?

To increase the capacitance of a parallel-plate capacitor, you can either increase the plate area or decrease the distance between the plates. You can also use a higher permittivity dielectric material.

What are some practical applications of parallel-plate capacitors?

Parallel-plate capacitors are used in various electronic devices, such as power supplies, filters, signal amplifiers, and memory storage. They are also commonly used in radio frequency circuits and high voltage applications.

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