How Do Impedance Minima Relate to Coaxial Cable's Speed of Propagation?

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SUMMARY

This discussion focuses on deriving an equation to calculate the speed of propagation and dielectric constant for coaxial cables based on impedance minima and associated frequencies. The participants reference Feynman's Lectures on Physics, specifically section 24-1, and suggest consulting engineering textbooks on Electromagnetic Theory, such as Cheng's book, for relevant equations. The conversation emphasizes the importance of understanding the relationship between characteristic impedance, load impedance, operating frequency, and position coordinate in transmission lines.

PREREQUISITES
  • Understanding of characteristic impedance in transmission lines
  • Familiarity with electromagnetic theory concepts
  • Knowledge of transverse electromagnetic (TEM) wave propagation
  • Basic principles of coaxial cable design and function
NEXT STEPS
  • Study Feynman's Lectures on Physics, particularly section 24-1 on transmission lines
  • Read Cheng's textbook on Electromagnetic Theory for detailed equations
  • Research the mathematical derivation of speed of propagation in coaxial cables
  • Explore the concept of impedance minima and its implications in transmission line theory
USEFUL FOR

Electrical engineers, physics students, and professionals involved in telecommunications and coaxial cable design will benefit from this discussion.

CNX
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I know my impedance minima and their associated frequencies for a particular coaxial cable. How would I go about deriving an equation that will let me calculate the speed of propagation and the dielectric constant?

My only hint is to consider the case for which Z = 0 but I don't know where to start.

I only have Feynman section 24-1 as a reference and he doesn't seem to cover this.
 
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I need more information to help you. For example, I assume that you are considering TEM? The characteristic impedance ]i[vanishes[/i]?! I didn't know that Feynman wrote a book on transmission lines - what's the name of this book?
 
turin said:
I need more information to help you. For example, I assume that you are considering TEM? The characteristic impedance ]i[vanishes[/i]?! I didn't know that Feynman wrote a book on transmission lines - what's the name of this book?

He's referring to Feynman's Lectures on Physics.

CNX: Refer to any engineering textbook on Electromagnetic Theory, specifically the chapter on Transmission Lines. For instance, you can read Cheng's book. All the equations you're looking for, are there.

Can you tell me what you mean by impedance minima...impedance as seen into the line at a point from the load is a function of the characteristic impedance, the load impedance, the operating frequency and the position coordinate (or length). Minima wrt what?
 

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