What Are the Secondary Coefficients of a Transmission Line at 1GHz?

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Discussion Overview

The discussion revolves around calculating the secondary coefficients of a transmission line at a frequency of 1GHz, given its primary coefficients. Participants are exploring the application of formulas related to transmission lines and addressing potential errors in calculations.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant presents the primary coefficients of a transmission line and seeks to determine the secondary coefficients Z0, α, and β at 1GHz, expressing uncertainty about the calculations.
  • Another participant references a previous thread for additional context or clarification regarding the calculations.
  • A participant questions a specific calculation involving the division of 0.5 by 2, noting a discrepancy in the expected result and suggesting a potential error in the original equation.
  • Another participant agrees with the observation of the error, indicating that the impact on the overall result is minimal due to the significant digits involved.
  • Subsequent replies indicate a decision to move on from the current problem, suggesting a lack of further exploration on the topic.

Areas of Agreement / Disagreement

Participants express agreement on the identification of a calculation error, but there is no consensus on the implications of that error or the correctness of the overall approach to finding the secondary coefficients.

Contextual Notes

There are unresolved aspects regarding the application of formulas and the handling of significant digits in the calculations, which may affect the interpretation of results.

billyray
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Homework Statement


A transmission line has the primary coefficients .

R=2Ω/m
L=8nH/m
G=0.5mS/m
C=0.23pF/m

Determine the lines secondary coefficients Z0, α and β at a frequency of 1GHz

Homework Equations


included in upload

The Attempt at a Solution


included. I think its just a case of filling into formula I have but not 100% sure.
 

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hi
thanks gneil. i have looked at this and my answer seems the same as i have used the same formula. on the first line of the equation they divide 0.5 by 2 and get 2.4. i know they are using a 10 to the power to mover decimal but 0.5 devided by 2 is 0.25 or am i missing something?
 
billyray said:
hi
thanks gneil. i have looked at this and my answer seems the same as i have used the same formula. on the first line of the equation they divide 0.5 by 2 and get 2.4. i know they are using a 10 to the power to mover decimal but 0.5 devided by 2 is 0.25 or am i missing something?
No, you're not missing anything, that's a genuine error. The result is not affected by much, 0.050 rather than 0.052, which are arguably the same result considering the number of significant digits in the given values :smile:
 
thanks gneil i will move on to the next one then.
 
billyray said:
thanks gneil i will move on to the next one then.

:wink:
 

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