Does the first maxwell equation apply only....

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Discussion Overview

The discussion revolves around the applicability of the first Maxwell equation, particularly in the context of static versus dynamic electric fields, including scenarios involving moving charges and their effects on electric flux. Participants explore whether the equation holds universally for all classical electromagnetic phenomena.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions if the first Maxwell equation applies only to static electric fields or also to generic electric fields, particularly in the presence of moving charges within a closed surface.
  • Another participant asserts that all of Maxwell's equations are valid for any classical electromagnetic phenomena.
  • It is proposed that the integral of electric flux through a closed surface surrounding charges, including moving charges, depends solely on the sum of the charges, suggesting that this makes the first Maxwell equation more universal than Coulomb's law.
  • A later reply reiterates the point about the integral of electric flux and its dependence on the sum of charges, emphasizing the non-spherical symmetry of the electric field of a moving charge compared to Coulomb's law.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of the first Maxwell equation to dynamic situations, with some asserting its universal applicability while others raise questions about specific conditions.

Contextual Notes

There are unresolved assumptions regarding the conditions under which the first Maxwell equation is applied, particularly in relation to moving charges and the implications of changing electric and magnetic fields.

physics user1
For static electric fields? does it apply also for a generic electric field? Let's say, moving charges inside a closed surface?
If there are charges accelerating in a closed surface a part of the electric field is due to the charges, and a a part is due to the fact that the charges acceleration produce a changing magnetic Flux the a changing electric field, but these electric field lines are closed then these lines should give 0 contribute to the net Flux, then the law is still valid

Can you tell me if what I said is Correct?

Sorry for bad grammar
 
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All of Maxwells equations hold for any classical EM phenomena.
 
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That the integral of electric flux through a closed surface surrounding charges, including charges moving in our frame of reference, depends only on the sum of the charges is what this makes this Maxwell equation more universal than Coulomb's law (as the E field of a moving charge is not spherically symmetric and so doesn't follow Coulomb's law).
 
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Philip Wood said:
That the integral of electric flux through a closed surface surrounding charges, including charges moving in our frame of reference, depends only on the sum of the charges is what this makes this Maxwell equation more universal than Coulomb's law (as the E field of a moving charge is not spherically symmetric and so doesn't follow Coulomb's law).
Thank you, now i got it
 

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