Poynting's theorem in Griffith's

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SUMMARY

Poynting's theorem, as discussed in Griffith's Electrodynamics, is fundamentally linked to Maxwell's equations. The theorem holds true for any system that adheres to these equations, regardless of whether the charges involved are internal or external. The discussion emphasizes the importance of understanding the mathematical transition from Maxwell's equations to Poynting's theorem, clarifying that the movement of charges does not alter the validity of the theorem. Key contributors in the forum, such as @Lord Jestocost, provided additional resources to aid comprehension.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Familiarity with Poynting's theorem
  • Basic knowledge of charge distributions (rho and J)
  • Conceptual grasp of electromagnetic fields (E and B)
NEXT STEPS
  • Study the derivation of Poynting's theorem from Maxwell's equations
  • Review the Feynman Lectures on Electromagnetism, specifically II.27
  • Explore examples of charge configurations and their relation to Poynting's theorem
  • Investigate the implications of Poynting's theorem in practical electromagnetic systems
USEFUL FOR

Students of physics, particularly those studying electrodynamics, educators teaching electromagnetic theory, and researchers exploring the applications of Poynting's theorem in various physical systems.

Zubair Ahmad
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I am in trouble with this theorem. I did it from Griffith's electrodynamics but I am not getting the physics of it. So can someone explain it lucidly.
 
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Zubair Ahmad said:
I am not getting the physics of it
@Lord Jestocost has given some good general material on the topic. If you want more specific responses then you will need to make a more specific question. What specifically are you not getting.
 
I am not getting the way Griffith's has done. He says some charges move around. So I consider these to be some external charges.
Now he uses rho and J of these external charges but when he uses Maxwell equations he relates this rho and J with E and B of older charge and current configuration whose force acted on these external charges?
 
Forget about external or internal charges for a moment. Do you understand how the math goes from Maxwell’s equations to Poynting’s theorem?
 
Yes that's clear to me.
 
Zubair Ahmad said:
Yes that's clear to me.
Ok, so that means that ANY system which obeys Maxwell’s equations will necessarily also obey Poynting’s theorem. It doesn’t matter if the charges are internal or external, if they move in response to the fields or in response to some other constraints, or whatever. As long as Maxwell’s equations are valid, so is Poynting’s theorem.
 

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