Maxwell's Equations: Validity of Gauss' Theorem

[Goldbeetle]

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

 

[Vanadium 50]

Is there a question in there? It looks like a statement: "I don't believe Maxwell's Equations are correct."

 

[Goldbeetle]

Yes, thanks, there is a question. Is that equation valid only in the static case?

 

[dx]

No, it's always valid.

 

[Goldbeetle]

The same if the equation is in its integral form?

 

[Born2bwire]

The same if the equation is in its integral form?

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