To Mike Gibson and to
I now have a TEM wave
travelling across the primary of a one turn transformer. “Energy current abhors
asymmetry”, so the step which enters the transformer breaks down into Even
Mode and Odd Mode. Using classical theory, I have “proved” this. See my
1967 paper partly reproduced in http://www.ivorcatt.co.uk/4_1.htm
where I start with a two wire transmission line and move forward to a
signal (active) line and parallel passive line. All of this is enmeshed in
classical theory, and we have not developed the equivalent theory under
“Theory C”, that there is no electric current. The approach is begun at http://www.ivorcatt.co.uk/2_4.htm
We very much need further
development in this area.
Consider Figure 30 in http://www.ivorcatt.co.uk/2_4.htm
. This derives from Figure 14 of http://www.ivorcatt.co.uk/2_1.htm
. The energy current confronts three possible directions, and breaks up as
appropriate – in the case of http://www.ivorcatt.co.uk/2_4.htm
none of it advancing north or south if the conductors are perfect. We need
to gain clarity on this matter. Then we move to the next problem. In the
case of surface conductors, in Figure 9.3 of http://www.ivorcatt.org/digihwdesignp57.htm
we see two spikes separating out on the passive line. However, we know that
in the case of buried conductors, the two spikes will travel at the same
velocity, see Figure 8 of my paper “Crosstalk (Noise) on Digital Systems,
IEEE Trans. Elect. Comp., vol. EC-16 no. 16, December 1967 p747, which I
must upload onto the www. Thus, two energy currents of opposite polarity
are travelling together in the region close to the passive line. (In other
regions they are not of opposite polarity.) Now we have to think about how
two energy currents of opposite polarity can travel together in the same
region of space.
This seems to lead us
towards further insight as to the nature of space. It appears that, as I
said decades ago, “Space is the ability to accommodate energy”. However, it
appears that a region of space can accommodate two lots of energy which
have opposite orientation, E and H, and travel in the same direction.
Ivor 5 March 2010.
Below is http://www.ivorcatt.co.uk/x0302.htm
Looking back in time, I find
my progress in developing electromagnetic theory has taken many decades. I
have done much work and gathered many insights, but some of the synthesis
is only now coming to me.
Along with everyone else,
I have been guilty of ignoring the magnetic field and concentrating too
much on the electric field, and on voltage. We are encouraged to do this
because we can measure voltage much more easily than we can measure
magnetic field. Take Faraday’s law, the starting point for all of today’s
Faraday did not deliver
electric current into the primary of his transformer, and this did not
create magnetic field. Rather, he delivered electromagnetic field, which
has a magnetic dimension as well as its electric dimension. It approached
his transformer at the speed of light, and then reciprocated from side to
side of the primary coil at the speed of light. (See animations , Figures 4 and 5 of "Displacement
Current" , and Figure 3 . At every
stage, it was magnetic field just as much as it was electric field. Or we
could say that it was electric field just as much as it was magnetic field.
What entered the secondary of the transformer was both magnetic and
electric, and what left the secondary and advanced towards the voltage
meter was magnetic as well as electric.
However, Mike Gibson fell
into the same trap when he discussed the
one turn transformer (2)
, the “prototype” for Faraday’s experiment when he supposedly discovered electromagnetic
induction . Like me, Mike did not mention the magnetic field, which
obviously exists just as much as the electric field.