Electrodynamics and the Poynting theorem

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SUMMARY

The discussion centers on the application of the Poynting theorem in electrodynamics, specifically regarding the momentum transfer from a point charge to the electromagnetic (EM) field. The example provided involves a point charge near a bar magnet, illustrating how the rotating Poynting vector generates angular momentum in the EM field. The interaction is facilitated by the Lorentz force, which influences the charge's trajectory, leading to momentum accumulation in the EM field. This demonstrates the relevance of the Poynting vector in both static electromagnetic fields and dynamic scenarios involving circuit currents and EM waves.

PREREQUISITES
  • Understanding of the Poynting theorem
  • Familiarity with Lorentz force concepts
  • Knowledge of electromagnetic field theory
  • Basic principles of angular momentum in physics
NEXT STEPS
  • Study the mathematical formulation of the Poynting vector
  • Explore applications of the Poynting theorem in circuit analysis
  • Investigate the relationship between field momentum and charge dynamics
  • Examine case studies involving angular momentum in electromagnetic systems
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism who seek to deepen their understanding of the Poynting theorem and its implications in both static and dynamic electromagnetic scenarios.

AHSAN MUJTABA
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Homework Statement
In static fields, why there exists a field momentum? And if it exists then what's the meaning of it?
Relevant Equations
##S=\frac{1}{\mu_o}(\vec E\times\vec B)##
In my opinion the field momentum is the field's intrinsic momentum which it will give to charges(if any present)...
 
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Hi. Feynman shows us an interesting example of a point charge sitting near the center of a bar magnet, as shown in Fig. 27–6. Here rotating Poynting vector generates EM field angular momentum. I will explain it.

Let us prepare the system by carrying the charge from infinite distance to the center where the magnetic bar is laid. Lorentz force jams the charge to come to the center by deflection so we apply force on charge sideway. Momentum is transferred to EM field. Thus accumulated momentum in EM field generates the angular momentum.

So it shows that Poynting vector is applicable in static EM field as well as cases of circuit currents and EM waves.
 
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Likes   Reactions: vanhees71
Thanks it's very deep and helped a lot.
 

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