Understanding Transmission Line Impedance and Voltage Distribution

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SUMMARY

This discussion focuses on the calculation of voltage at a load impedance of 2Z0, located at a quarter wavelength (λ/4) from a generator. The user initially miscalculated the voltage due to confusion over the characteristic impedance, Zc, which should be set to √2Z0 instead of Z0. The correct approach requires adjusting the source impedance to Z0/√2 to align with the characteristic impedance of the transmission line. The key takeaway is the importance of correctly identifying and applying the characteristic impedance in transmission line problems.

PREREQUISITES
  • Understanding of transmission line theory
  • Familiarity with characteristic impedance (Zc) and load impedance (Z0)
  • Knowledge of quarter wavelength (λ/4) transmission line behavior
  • Basic electrical engineering concepts related to impedance
NEXT STEPS
  • Study the effects of characteristic impedance on voltage distribution in transmission lines
  • Learn about the Smith chart for impedance matching
  • Explore the concept of standing wave ratio (SWR) in transmission lines
  • Investigate the application of transmission line equations in real-world scenarios
USEFUL FOR

Electrical engineers, students studying transmission line theory, and professionals involved in RF design or telecommunications will benefit from this discussion.

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Moved from another forum, so homework template missing
Hello
In this problem I tried to find the voltage at 2Z0 (load) that is (landa/4) from generator.My result it is different from teacher's result.what is my mistake?
(I named V1e as A point and V2e as B point so the voltage across the B point is (Vs/4) according to Zin=Z0 that is the same as Z0 of generator's impedance)
8767268700_1446709956.png

my solution:
2212861200_1446709955.jpg

Any helo would appreciate
 
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looks like homework, should have been in that section
 
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Likes   Reactions: DrClaude
Why does it say "√2Z0" in the middle of the line? The chas. impedance of the line is by definition Z0.
So change your source impedance to Z0/√2 and your load impedance to √2Z0 or you're going to get mighty messed up.
 
Dear rude-man
Thank you for accompanying me
In this problem it assumes that Zc=√2 Z0 it means that the characteristic impedance of line is Zc not Z0 and the other values are Z0 and 2Z0 they don't need to be changed
 

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