Maximum potential (coaxial cable)

In summary, the maximum potential of a coaxial cable refers to its maximum voltage capacity without experiencing damage or performance degradation. This potential is determined by the cable's design, materials, and size. Exceeding the maximum potential can lead to electrical breakdown and potential hazards. While the maximum potential cannot be easily increased, using higher quality materials and proper installation techniques can improve the cable's overall performance. Different types of coaxial cables may have different maximum potentials, so it is important to choose the appropriate cable for the intended use.
  • #1
weesiang_loke
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Homework Statement


Given a coaxial cable with outer conductor of radius b, and inner conductor of radius a. Prove that maximum potential is obtained when a = b /e, e is base of natural log.

Homework Equations


gauss law, ...

The Attempt at a Solution


By using Gauss Law,
for a < r < b,
i have E = 2*k*[tex]\lambda[/tex] / r, where [tex]\lambda[/tex] = Q/L

then the potential difference, V= [tex]\int[/tex] E dr
V = 2*k*[tex]\lambda[/tex] ln (b/a),

but i am not sure how to continue by differentiating V wrt a.
Help me pls...
Thank you.
 
Last edited:
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  • #2
Anyone pls help ...
 

1. What is the maximum potential of a coaxial cable?

The maximum potential of a coaxial cable refers to the maximum voltage that the cable can handle without experiencing damage or degradation in performance. This potential is typically measured in volts (V).

2. How is the maximum potential of a coaxial cable determined?

The maximum potential of a coaxial cable is determined by its design and construction. Factors such as the type and quality of the materials used, the thickness of the insulation and shielding layers, and the overall size and length of the cable can all impact its maximum potential.

3. What happens if the maximum potential of a coaxial cable is exceeded?

If the maximum potential of a coaxial cable is exceeded, it can lead to electrical breakdown, which can cause damage to the cable and potentially create hazards such as fire or electric shock. It can also result in signal loss and interference, affecting the performance of the cable.

4. Can the maximum potential of a coaxial cable be increased?

In general, the maximum potential of a coaxial cable is determined during the design and manufacturing process and cannot be easily increased. However, using higher quality materials and proper installation techniques can help improve the overall performance and potential of the cable.

5. Are there different maximum potentials for different types of coaxial cables?

Yes, the maximum potential of a coaxial cable can vary depending on its type and purpose. For example, a cable used for home internet may have a lower maximum potential compared to a cable used for transmitting high-frequency signals in a laboratory setting. It is important to choose the appropriate cable for the intended application to ensure it can handle the required voltage levels.

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