"Art Unwin" wrote in message
...

If you have read a lot or have physics instruction step forward and
provide the mathematics of Gauss law of static particles with the
addition of a time varying field.

the simplest form to put in words is: the divergence of E is proportional
to the charge density. the constant of proportionality depends on the units
chosen of course. This is exactly the form used in Maxwell's equations for
time varying fields.