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I am thinking the therminology here which is about Gas Electron Multipliers (GEM). There is a continuous flow of the fill gas which is ionized so no particles created/destroyed:

#1

By Gauss's law, the distribution of electric charge results in the electromagnetic fields in a volume and is proportional to the change inside.

#2

By Gauss's law, the distribution of electric charge results in the electric field in a volume and is proportional to the change inside.

Proposal after JCP's answer

#3

By Gauss's law, the amount of electric charge inside the volume enclosed by the surface is related to the integral of the electric field over a closed surface.

Which form is more safer to be said? Is there something more explicit?

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    $\begingroup$ In electro-statics (no moving charges), charges only create static electric fields. Where does your definition come from? In wikipedia it stated the "net electric flux ..." $\endgroup$
    – Timeless
    Nov 12, 2015 at 15:33
  • $\begingroup$ It is about Gas Electron Multipliers where electrons are moving. There is a continuous flow of fill gas which is ionized so no particles created/destroyed. $\endgroup$
    – Léo Léopold Hertz 준영
    Nov 12, 2015 at 15:49

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Gauss's law relates the integral of the electric field over a closed surface with the amount of charge inside the volume enclosed by this surface. It does not state anything about magnetic fields or about changes in time. So unfortunately I would not consider either to be 'safe'.

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  • $\begingroup$ My new proposal: By Gauss's law, the amount of electric charge inside the volume enclosed by the surface is related to the integral of the electric field over a closed surface. What do you think? $\endgroup$
    – Léo Léopold Hertz 준영
    Nov 12, 2015 at 19:31

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