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In a good conducting medium, we can considerSelect one:a. α = 0b. α =βc. α >>> βd. α <<<< β

Question

In a good conducting medium, we can consider

Select one:

  • a. α = 0
  • b. α = β
  • c. α >>> β
  • d. α <<<< β
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Solution

Break Down the Problem

  1. Identify the key parameters in the question: α (alpha) and β (beta).
  2. Understand their significance in the context of a good conducting medium.

Relevant Concepts

  • In a good conductor, the conductivity is high, leading to certain behaviors of electric and magnetic fields.
  • The parameters α and β could refer to different physical quantities like absorption and dispersion coefficients, respectively, or any other related rates.

Analysis and Detail

  • If α \alpha represents the attenuation constant (a measure of how quickly a wave diminishes as it propagates through a medium), in a good conducting medium, we expect the attenuation to be significant.
  • If β \beta indicates a phase constant (related to the propagation of the wave), in good conductors, the attenuation typically dominates.

Thus, in such cases, we can conclude:

  • α \alpha tends towards large values indicating significant attenuation.
  • β \beta remains comparatively small, indicating that the phase change is not as pronounced due to high conductivity.

Verify and Summarize

  • In order to consider a good conducting medium, we find that the relationship typically holds that α>>>β \alpha >>> \beta , meaning the attenuation is much greater than the phase change.

Final Answer

c. α>>>β \alpha >>> \beta

This problem has been solved

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