Electric Fields in Coaxial Cables: Understanding Bound Charge Densities

In summary, the conversation is discussing the distribution of charge density in a coaxial cable with a dielectric. The question being addressed is why the same charge density is assumed for both the inner and outer conductors, despite the presence of bound charge densities due to polarization. The response clarifies that while polarization does affect the capacitance of the cable, it does not contribute to the total charge density, which remains the same for both conductors.
  • #1
PhysicsPrincess
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Homework Statement


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Homework Equations

The Attempt at a Solution


I understand all the calculations here - http://www.physicspages.com/2012/10/18/coaxial-cable-with-dielectric/
I have one issue that is bugging me though - if λ charge density is distributed over the inner conductor, why can it be assumed that the same -λ is distributed over the outer shell? Aren't there any bound charge densities involved here?

Thank you.
 
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  • #2
With bound charge densities you mean the polarization ? That is involved. That's why (for ##\epsilon_r > 1##) C is greater than for the same coax without the dielectric. But the ##\lambda## are the same: polarization has no total charge.
 
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1. What is an electric field in a coaxial cable?

An electric field in a coaxial cable is a region surrounding the cable where electric charges experience a force. It is created by the difference in electric potential between the inner and outer conductors of the cable.

2. How is the bound charge density related to the electric field in a coaxial cable?

The bound charge density is directly proportional to the electric field in a coaxial cable. This means that as the electric field increases, so does the bound charge density.

3. What is the significance of understanding bound charge densities in coaxial cables?

Understanding bound charge densities in coaxial cables is important for designing and optimizing the performance of these cables. It allows for better control and manipulation of the electric field, which can affect factors such as signal strength and interference.

4. How does the geometry of a coaxial cable affect the electric field and bound charge densities?

The geometry of a coaxial cable, particularly the distance between the inner and outer conductors, can greatly influence the electric field and bound charge densities. A larger distance between the conductors results in a stronger electric field and higher bound charge densities.

5. Can bound charge densities in coaxial cables be measured?

Yes, bound charge densities in coaxial cables can be measured using various techniques such as capacitance measurements or electric field probes. These measurements can provide valuable information for understanding and optimizing the performance of the cable.

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