Calculating the Capacitance of a Semicircular Dielectric Capacitor

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In summary, to find the capacitance of a circular capacitor with two metal plates, we can use the equation C = (epsilon zero * dielectric constant * area) / 2. In this specific case, we have a capacitor with two circular plates of radius 0.55 m and thickness 8.7 mm, with a gap of 2.5 mm between them. Half of the space between the plates is filled with a medium with dielectric constant 16.3, and the other half is filled with air. To find the capacitance, we can treat the capacitor as two separate capacitors in parallel, with one having the dielectric and the other without.
  • #1
ganondorf29
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Homework Statement


http://nplq1.phyast.pitt.edu/res/westwolf/bookauthor/Capacitors/circle.jpg

We use two circular metal plates of radius 0.55 m and thickness 8.7 mm to build a capacitor. We leave a gap of 2.5 mm between the plates and fill half of the space between the plates with a medium with dielectric constant 16.3 and leave the other half filled with air. What is the capacitance of this capacitor in units of nF?

Homework Equations



C=((eplison zero)*(dielectric constant)*(area))/2

The Attempt at a Solution



I'm not sure how to start this problem. I was thinking, maybe divide the area in half, one with the dielectric and one without it, and treat it as two separate capacitors in a series, but can that be done?
 
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  • #2
Sounds reasonable to me - but wouldn't it be two caps in PARALLEL?
 
  • #3
I'll try the parallel attempt first
 

Related to Calculating the Capacitance of a Semicircular Dielectric Capacitor

What is a semicircular dielectric?

A semicircular dielectric is a type of material that is used in electrical circuits to control the flow of electricity. It is made up of a non-conductive material, such as plastic or glass, and is shaped like a half circle.

How does a semicircular dielectric work?

The semicircular dielectric works by creating a barrier between two conductive materials, such as metal plates, in an electrical circuit. This barrier prevents the flow of electricity in certain areas, allowing for the controlled flow of current in the circuit.

What are the benefits of using a semicircular dielectric?

There are several benefits to using a semicircular dielectric in electrical circuits. Firstly, it allows for precise control of the flow of electricity, which is important in many electronic devices. Additionally, it can help to reduce interference and noise in the circuit, resulting in better overall performance.

Are there different types of semicircular dielectrics?

Yes, there are different types of semicircular dielectrics available, each with their own unique properties. Some common types include plastic, glass, and ceramic dielectrics. The choice of dielectric material will depend on the specific needs of the circuit and the desired outcome.

Can a semicircular dielectric be used in all types of electrical circuits?

While semicircular dielectrics are commonly used in many electrical circuits, they may not be suitable for all types. For example, high voltage circuits may require a different type of dielectric material. It is important to carefully consider the needs of the circuit before selecting a semicircular dielectric.

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