Question on: Smith charts, power and transmission lines

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SUMMARY

The discussion centers on calculating the fraction of time-average incident power dissipated in a load on a lossless transmission line with characteristic impedance Z. It is established that this calculation can be performed using the load impedance L and the characteristic impedance Z, without the need for voltage or current values. The key concept introduced is the "Transmission Coefficient," which quantifies the amplitude of the transmitted signal and accounts for impedance mismatch between Z and L.

PREREQUISITES
  • Understanding of characteristic impedance in transmission lines
  • Knowledge of load impedance and its role in power dissipation
  • Familiarity with the concept of impedance mismatch
  • Basic principles of power transmission in electrical engineering
NEXT STEPS
  • Research the "Transmission Coefficient" and its calculation methods
  • Study the effects of impedance mismatch on power transmission
  • Explore lossless transmission line theory and its applications
  • Learn about power reflection coefficients and their significance
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Electrical engineers, students studying transmission line theory, and professionals involved in RF design and power systems will benefit from this discussion.

vysero
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I would simply like to know: Given a lossless transmission line with a certain characteristic impedance Z terminated in a load L. How can I go about computing the fraction of the time average incident power arriving that is dissipated in the load? Is this possible without knowing the voltage or current; is this possible only knowing L and Z?
 
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I assume L is the impedance of the load.
Yes it is possible. You need to consider the impedance mismatch between Z and L, part of the energy will be transmitted, part reflected.
You need to investigate the term "Transmission Coefficient" to know the amplitude of the transmitted signal. You know L ...
 

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