Capacitance per length of co-axial cabel

In summary, capacitance per length of co-axial cable is a measure of the amount of electrical charge that can be stored in a unit length of the cable. It can be calculated using the formula C = (2πε)/(ln(b/a)), and its unit is farads per meter (F/m). Higher capacitance per length can result in slower transmission of signals and can be reduced by increasing the distance between conductors, using a lower dielectric constant material, and proper cable design and construction.
  • #1
trans_pie
5
0
Find the capacitance per length of a co-axial cable with a conductor of radius a and a thin shield of
radius b.
 
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  • #2
Again, what have you done so far? Think of terms of Gauss law.
 
  • #3
i got the answer 2π€/ln(b/a)

is it correct?
 
Last edited:
  • #4
Yep, should be.
 

1. What is capacitance per length of co-axial cable?

Capacitance per length of co-axial cable is a measure of the amount of electrical charge that can be stored in a unit length of the cable. It is affected by factors such as the distance between the inner and outer conductors, the dielectric material between them, and the dimensions of the cable.

2. How is capacitance per length of co-axial cable calculated?

The capacitance per length of co-axial cable can be calculated using the formula C = (2πε)/(ln(b/a)), where C is the capacitance per unit length, ε is the permittivity of the dielectric material, b is the outer radius of the cable, and a is the inner radius of the cable.

3. What is the unit of capacitance per length of co-axial cable?

The unit of capacitance per length of co-axial cable is farads per meter (F/m).

4. How does capacitance per length of co-axial cable affect signal transmission?

The higher the capacitance per length of co-axial cable, the more energy is required to charge and discharge the cable, resulting in a slower transmission of signals. This can lead to signal distortion and loss of data.

5. How can capacitance per length of co-axial cable be reduced?

Capacitance per length of co-axial cable can be reduced by increasing the distance between the inner and outer conductors, using a lower dielectric constant material, and using a smaller cable diameter. Proper cable design and construction can also help to reduce capacitance per length.

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