Capacitance per unit length help

In summary, the conversation is about finding the capacitance per unit length for a coaxial cable in order to install a home video studio. The formula (2pi*k*epsilon_0) / (ln(b/a)) was attempted, but the value of k was unknown. The person providing help suggests looking up the dielectric constant of polyethylene to solve the problem.
  • #1
budget76
2
0
1. Homework Statement [/b]
You are planning to install a home video studio. A very important piece of information is missing from the specifications. You must find the capacitance per unit length for a coaxial cable. The cable has an inner radius of 1.1 {\rm mm} and an outer conductor 3.1 {\rm mm} in radius separated by polyethylene insulation that acts as a dielectric.


Homework Equations


(2pi*k*epsilon_0) / (ln(b/a))


The Attempt at a Solution



I attempted to use the above formula but do not know what k is, and found on a different website the formula without k so I attempted to use it and got 54.52, which was wrong.

thanks for any help
 
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  • #2
Did you look up the dielectric constant of polyethylene? That's what k is.
 
  • #3
I did not, I'll give it a try. Thank you
 

What is capacitance per unit length?

Capacitance per unit length is a measurement of the amount of electrical charge that can be stored per unit length of a conductor when a voltage is applied. It is typically measured in units of farads per meter (F/m).

What factors affect capacitance per unit length?

The factors that affect capacitance per unit length include the material of the conductor, the distance between the conductor and another object, the area of the conductor, and the dielectric constant of the material between the conductor and the other object.

How is capacitance per unit length calculated?

Capacitance per unit length can be calculated by dividing the capacitance of the conductor by its length. The capacitance can be calculated using the formula C = εA/d, where C is the capacitance, ε is the dielectric constant, A is the area of the conductor, and d is the distance between the conductor and another object.

What is the significance of capacitance per unit length?

Capacitance per unit length is important in the design and operation of electrical circuits, as it determines the amount of charge that can be stored and the strength of the electric field between conductors. It is also used in the design of transmission lines and antennas for efficient transfer of electrical energy.

How can capacitance per unit length be increased?

Capacitance per unit length can be increased by increasing the surface area of the conductor, decreasing the distance between the conductor and another object, and using materials with higher dielectric constants. It can also be increased by adding capacitors in parallel to the circuit.

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