O.K. I have a few minuits before I start my day so I will use it to
describe in more detail that word "curl" that I spoke about earlier
where we just added a straight line arrow to the enclosed charges and
yet we called it a "curl". Remembe we only applied a time varing field
for just a moment so the arbitary border would not breach and this
movement can be likened ti a corkscrew that turns around and around but
yet it eneters just one small hole. If we view a charge of being on the
surface of the corkscrew we can visulise it going round and round like
a stone in Davids sling. But we only supplied energy to the gaussian
fiels for a short moment and David who also stopped the stone in the
sling flew outwards in a straight line with its potential energy
changing to kinetic energy. So that is why the charges had an arrow
attached which is what appears when the charge whirles around with
phase changes until it is released , so tho we represented the "curl"
addition by a straight arrow or vector one can see that this is a
result of the curling action of the charge around a dipole when a time
varying field is applied. Remember this particular addition to Gausses
law
provides the means of connection to Ampere and Kirchoffs work that
evolved with electromagnetics. Next time I will explain how a law of
nature allowed us to move out of the electrostics sphere and move
towards the creation of a radiating field. Hope that helps without
confusion.



O.K. where was I
Ah, we now have in front of us where all the enclosed charges are of a
like sign.
So now visualise that you are looking at a cluster of could be
radiating elements side on and think that each charge that appears on
the surface of the enclosed border eminated somehow from a dipole
behind it
First thing to understand that behind the charge direction sign we have
a dipole which like all the other charges must be in equilibrium with
all the other charges dipoles so the first requirement is to make every
dipole resonant and since they are in cluster form the interacting
coupling effects destroy the equilibrium unless we ensure that all the
dipoles are resonant despite outher forces. To do this we ofcourse have
to adjust the lengths of each dipole such that it is still resonant
despite the positional arrangement we put them in which means the
dipooles will not be of the same length but still reonant in situ to
maiantain equilibrium. Up to now we have beenmanipulating a Gaussion
law that applies to electrostatics, a subset of electro magnetics where
in mathematical terms time must be taken into account so we have to go
back to the Gaussian field and add another tem to the Gaussian law like
" in a small space of time " or something like that. We can do this
because what Gauss found and put into mathematical form is a law not a
theorem in that it blends with laws of nature and the universe as
proven mathematically. So for an instant of time we can place the
clustered elements in a short burst of a time varying field where each
of the enclosed charges have a directional vector added to it in the
form of phase possesion
which is often times referred to as Curl if you come across that term
later. Now for equilibrium all charges must change in unison which they
will do as we made the length of elements resonant in situ. Now looking
at the Gaussian field it can be seen that for a short moment in time
each of the charges/dipole elements have formed directional mean for
the time varying charges but without breaking out from the arbitary
border or having to radiate in any way to another element. So at this
point we have a cluster of elements that have not started the process
of radiating/E.H. field generation and where by virtue of all elements
being of the same "Q' we have avoided the cumbersome job of determining
the intercoupling
forces. At this point we can say we are dealing with lumped constants
and eligable for adaptation by RLC or complex circuitry methods. I
think you will need a bit of time to absorb what I have stated before
we move on to an actual radiating array since there is more work to be
done before I get to that point.See you later


art wrote:
Pray tell me what is it in my posting that inflamed you as a self
chosen judge
to pass judgement on me?

Mike Lucas wrote:
"art" wrote in message
ps.com...

massive snip

Art: Do you know what a blithering idiot is??? Well, you're starting to
blither pretty often.

Mike W5CHR
Memphis