Capacitors with dielectrics

In summary, a capacitor with a dielectric is an electrical component that stores energy in the form of an electric field. It consists of two conductive plates separated by a non-conductive material, which helps to increase the capacitance and ability to store energy. When a voltage is applied, the electric field is amplified, making it useful for applications where a large amount of energy needs to be stored. Common dielectric materials include ceramic, paper, mica, and plastic, each with its own specific properties and applications. While there are many advantages to using a capacitor with a dielectric, there are also limitations such as maximum voltage ratings and decreased efficiency due to losses in the dielectric material.
  • #1
spottedcow913
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A coaxial cable used in a transmission line has an inner radius of 0.10 mm and an outer radius of 0.60 mm. Calculate the capacitance per meter for the cable. Assume that the space between the conductors is filled with polystyrene. Kappa for polystyrene is 2.6

I have no clue how to start or what to even think about so any starting point would be greatly appreciated!
 
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The key words are Cylindrical Capacitor. Google is a handy tool when you know what you're looking for; try http://hyperphysics.phy-astr.gsu.edu/hbase/electric/capcyl.html" .
 
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1. What is a capacitor with a dielectric?

A capacitor with a dielectric is a type of electrical component that stores energy in the form of an electric field. It consists of two conductive plates separated by a non-conductive material called a dielectric. This dielectric material helps to increase the capacitance of the capacitor, allowing it to store more charge.

2. How does a capacitor with a dielectric work?

When a voltage is applied to a capacitor with a dielectric, it creates an electric field between the two plates. The dielectric material helps to increase the electric field, which in turn increases the capacitance of the capacitor. This allows the capacitor to store more charge and increase its ability to store energy.

3. What are the advantages of using a capacitor with a dielectric?

One major advantage of using a capacitor with a dielectric is that it increases the capacitance of the capacitor, allowing it to store more charge and energy. This makes it useful for applications where a large amount of energy needs to be stored, such as in electronic devices. Additionally, the dielectric material also helps to insulate the capacitor, making it safer to use.

4. What are some common dielectric materials used in capacitors?

There are many different types of dielectric materials used in capacitors, each with its own specific properties and applications. Some common dielectric materials include ceramic, paper, mica, and plastic. The choice of dielectric material depends on factors such as the type of capacitor, its intended use, and the desired capacitance and voltage ratings.

5. Are there any limitations to using a capacitor with a dielectric?

While capacitors with dielectrics have many advantages, there are also some limitations to using them. One limitation is that the dielectric material may have a maximum voltage rating, which can limit the overall voltage that the capacitor can withstand. Additionally, dielectric materials can also introduce losses and decrease the overall efficiency of the capacitor.

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