Confusion about inner inductance of transmission line

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SUMMARY

The discussion centers on the inner inductance of transmission lines, specifically addressing the confusion surrounding the use of the fraction (x/r)^2 of total current in relation to magnetic lines. Participants clarify that inductance and flux linkage are indeed intermediate terms in electromagnetic induction, which leads to the conclusion that understanding the distinction between magnetic flux and flux linkage is crucial. Furthermore, it is established that the electromotive force (emf) is derived from the rate of change of magnetic flux, not flux linkage, aligning with Faraday's law.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with Faraday's law of electromagnetic induction
  • Knowledge of transmission line theory
  • Basic concepts of inductance and magnetic flux
NEXT STEPS
  • Study the relationship between magnetic flux and flux linkage in transmission lines
  • Explore advanced topics in transmission line theory, focusing on inner inductance
  • Review Faraday's law and its applications in electrical engineering
  • Investigate the mathematical derivation of emf in relation to magnetic flux changes
USEFUL FOR

Electrical engineers, physics students, and anyone involved in the study of electromagnetic theory and transmission line design will benefit from this discussion.

Jackson Lee
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I was reading textbook and felt confused about this-- when trying to deal with inner inductance of transmission line, only the fraction (x/r)^2 of total current, which interlock with magnetic lines should be considered. However, isn't the inductance or even flux linkage an intermediate term(correct me if I am wrong) to electromagnetic induction? If it so, why not we directly deal with flux instead of flux linkage, because as Faraday's law, the change rate of magnetic flux equals emf?
 

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And I really really really want to know the emf is the rate of change of magnetic flux or flux linkage?
 

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