Maxwell's Equations: Validity of Gauss' Theorem

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Discussion Overview

The discussion revolves around the validity of Gauss' theorem as it relates to Maxwell's equations, specifically focusing on the divergence of the electric field and its proportionality to charge density. The scope includes theoretical considerations of electromagnetic fields in both static and dynamic scenarios.

Discussion Character

  • Debate/contested

Main Points Raised

  • Godlbeetle questions whether the equation stating that the divergence of the electric field is proportional to charge density is only valid in static cases or if it holds in general.
  • Some participants assert that the equation is always valid, regardless of whether the fields are static or varying.
  • There is a query about the validity of the equation in its integral form, with a suggestion that the vector operator and integral forms are equivalent.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of the equation in dynamic situations, with some asserting its universal validity while others seek clarification on its limitations.

Contextual Notes

The discussion does not clarify the assumptions underlying the claims about the static versus dynamic cases of the electric field, nor does it resolve the equivalence of the vector and integral forms of the equation.

Goldbeetle
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Dear all,
I have a doubt on the validity of one of the Maxwell's equations, the one that states that the divergence of the electrical field is proportional to the charge density. As far as I can remember it should be not only valid in the static field case but in the general. I do not see a variating electrical-magnetical field would violate this law.

Thanks,
Godlbeetle
 
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Is there a question in there? It looks like a statement: "I don't believe Maxwell's Equations are correct."
 
Yes, thanks, there is a question. Is that equation valid only in the static case?
 
No, it's always valid.
 
The same if the equation is in its integral form?
 
Goldbeetle said:
The same if the equation is in its integral form?

The vector operator and integral forms are equivalent, so yes.
 

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