Surface Charge - Poynting Vector - DC circuit power flow

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SUMMARY

The discussion centers on the application of surface charge and the Poynting vector in understanding power flow in DC circuits. Key contributions from Chabay and Sherwood are highlighted, alongside John Kraus's work in "Electromagnetics," specifically the 2nd edition published in 1973, which illustrates the Poynting vector's role in power flow. The misconception that energy is transported within the wire, akin to water in a hose, is addressed, emphasizing that energy actually travels just outside the wire, a concept that has gained clarity only in recent years.

PREREQUISITES
  • Understanding of the Poynting vector in electromagnetism
  • Familiarity with surface charge concepts
  • Knowledge of DC circuit theory
  • Basic principles of electromagnetic fields
NEXT STEPS
  • Study John Kraus's "Electromagnetics" 2nd edition for insights on the Poynting vector
  • Explore Chabay and Sherwood's contributions to physics and engineering
  • Research the implications of surface charge in non-steady state circuits
  • Investigate the historical context of electromagnetic theory and its evolution
USEFUL FOR

Electrical engineers, physics students, and educators seeking to deepen their understanding of power flow in DC circuits and the role of electromagnetic concepts in practical applications.

Joseph M. Zias
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I found it very interesting to see that surface charge and the Poynting vector are being used to describe how a simple DC circuit actually works. Chabay and Sherwood have made an outstanding contribution to physics and engineering in their texts and papers. Of course others jump on the bandwagon and rightly so with a plethora of papers in the last 15 years. We were not taught those truths back in 1970, a shame. Regarding the use of the Poynting vector to show power flow is not mainly in the wires most of the authors of recent papers neglect to mention that John Kraus in his "Electromagnetics" did indeed illustrate this. I know it is in his 2nd edition, 1973,
pages 416-419. Unfortunately I didn't have his text but took E&M using Reitz and Milford and if it is in there its buried somewhere.
 
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I too was rather blown away that such basic understanding has only recently been truly resolved. Even Feynman already commented on this deficiency in one of his lectures. And even though my Master's in EE was rather theoretical in comparison to others, I certainly was not aware of it. Just like everyone else I assumed the energy was being transported inside the wire, very much like a water hose would work. And especially when one considers non-steady state circuits, where potential difference travel down the wire and get reflected etc, it even more so looks like that that part is carrying the energy.

That said, from an engineering perspective it makes no difference of course. And the way I understand it, the energy gets transported just outside the wire, so it's essentially a difference of a few micrometer.
 

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