Maxwell's Equations: Validity of Gauss' Theorem

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The discussion centers on the validity of Maxwell's equation regarding the divergence of the electric field and its relationship to charge density. It is clarified that this equation is valid not only in static fields but also in dynamic situations involving varying electric and magnetic fields. Participants confirm that both the differential and integral forms of the equation are equivalent and hold true in general conditions. The consensus is that the equation remains valid regardless of field variations. Overall, the equation's validity in both static and dynamic contexts is affirmed.
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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