"art" wrote in message
oups.com...
On 9 Mar, 22:13, (John E. Davis) wrote:
On Fri, 09 Mar 2007 16:45:31 GMT, Dave
wrote:

Gauss' Law is for static electric charges and fields.

It is usually used for problems in electrostatics, but it is not
confined to such problems. The differential form of it is just one of
the Maxwell equations:

div E(x,t) = 4\pi\rho(x,t)

Integrate it over a fixed surface and you get the integral form, which
is Gauss's law. It is valid with time-dependent charge densities and
time-dependent electric fields.

--John

John, you have hit it on the nose. It is the logic that is important
and that logic applies for a resonant array in situ
inside a closed border whether time is variant or otherwise.
The importantant point of the underlying logic that all inside the
arbitary border must be in equilibrium at the cessation of time
because the issue is not the static particles but of the flux. Period
Thus the very reason for a conservative field in that
it is able to project static particles in terms of time if time was
added. For static particles time is not involved therefore
ALL vectors are of ZERO length and direction is an asumption based on
the action if and when time is added.
John, you included time but did not mention time variant, was this for
a reason? I have specifically use time variance since that enclosed
within the border is an array in equilibrium
from which the conservative field is drawn from.
I am so pleased that some one came along that concentrated on the
logic and not the retoric and abuse.
Art

he may have hit what you believe correctly.. but unfortunately it is not a
valid generalization. as i stated in my other message:

no, i'm afraid you can't just put a 't' on each side and have it make sense
in the general case. time varying charge implies a current, a current
implies a magnetic field, then you have to include Ampere's law and add
curl(E)=-dB/dt to the mix. while you may be able to constrain the changes
in rho(t) to some short time or constant current and eliminate the dB/dt
part of the problem, that would only apply in specific conditions, not to
the general case.