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Old July 10th 03, 02:44 AM
Richard Harrison
 
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Default Cecil's Math

Cecil,
W5DXP wrote:
"Steven Best says that total re-reflection is a fallacy. Do you disagree
with Dr. Best?"

I`ll play along. On this issue, Dr. Best may be mistaken. Individual
testimonies may not be very reliable, but large numbers become a
preponderence of evidence. Numbers of operators claim to be able to
reach near 1:1 SWR at their transmitter outputs while having greater
SWR`s in other parts of their transmission systems. I believe them. It
agrees with my own experience. The 1:1 SWR at the transmitter means
reflections were stopped short of their return to the transmitter.
Re-reflection at the match point is therefore very near total.

I have similar practical experience that transmitter systems can be
adjusted to reject returnng reflections in many cases. Reg used to
explain such rejection by an assumed very high transmitter output
impedance, if my recollection is correct. If I misquoted Reg in any way
it is unintentional. I disagree with the common opinion that classical
plate resistance has much to do with transmitter output impedance. In my
opinion, output conductance is proportional to the switched-on time of
the final amplifier. Conduction angle controls impedance, which is much
lower than plate resistance.

So why doesn`t the transmitter take back reflected power? The impedance
bump is needed as a catalyst to cause a re-reflection. The re-reflection
is as my professors said over 50 years ago due to the fact that the
transmitter already has a surplus of energy. Energy always flows on a
line from a surplus to a dearth, and not vice versa.

A tapering charge battery charger undergoes an amperage subsidence as a
battery becomes charged. Even were the charger another battery as in the
case of a jump-start, energy doesn`t flow from a lower potential battery
to the higher potential battery.

A-C sources behave much the same. The greater-magnitude source
outsupplies the other and determines the direction of current flow when
the sources are facing-off against each other.

Best regards, Richard Harrison, KB5WZI

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Old July 10th 03, 04:28 AM
W5DXP
 
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Richard Harrison wrote:
A-C sources behave much the same. The greater-magnitude source
outsupplies the other and determines the direction of current flow when
the sources are facing-off against each other.


Let's say we have two sources each equipped with a circulator and load
resistor. We'll call such a source an SGCR (Signal generator equipped
with a circulator and load). We set up the following experiment.

100W SGCL#1------------50 ohm lossless coax-----------50W SGCL#2

Seems to me that the 100W from SGCL#1 will flow unopposed and
dissipate in SGCL#2's circulator load resistor. Seems to me that
the 50W from SGCL#2 will flow unopposed and dissipate in SGCL#1's
circulator load resistor.

In other words, the forward wave has no effect on the reflected
wave and vice versa. There is no face off.

Now consider a normal system.

100W SGCL----------50 ohm lossless coax----------291.5 ohm load

50W will be reflected from the load and flow unopposed back to
the circulator load resistor. There is no face off. Unless there
is an impedance discontinuity, forward waves have no effect on
reflected waves.
--
73, Cecil http://www.qsl.net/w5dxp



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Old July 10th 03, 11:35 AM
 
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W5DXP wrote:

Let's say we have two sources each equipped with a circulator and load
resistor. We'll call such a source an SGCR (Signal generator equipped
with a circulator and load). We set up the following experiment.

100W SGCL#1------------50 ohm lossless coax-----------50W SGCL#2

Seems to me that the 100W from SGCL#1 will flow unopposed and
dissipate in SGCL#2's circulator load resistor. Seems to me that
the 50W from SGCL#2 will flow unopposed and dissipate in SGCL#1's
circulator load resistor.


May I modify your experiment slightly? Change SGCL#2 to produce 100W.
Restating your explanation for the new experiment:
"Seems to me that the 100W from SGCL#1 will flow unopposed and
dissipate in SGCL#2's circulator load resistor. Seems to me that
the 100W from SGCL#2 will flow unopposed and dissipate in SGCL#1's
circulator load resistor."

Let's also make the 50 ohm lossless coax long enough that we can
find a voltage maximum. At this voltage maximum the current is 0,
always.
Assuming that P = V x I, the power is 0, always.
This seems to be at odds with explanation that SGCL#1's power is
dissipated in SGCL#2's circulator load resistor since there is no
energy flowing at the voltage maximum.

The obvious (and probably controversial) answer to this
inconsistency is that the power dissipated in CL#1 originates
in SG#1. Similarly for SGCL#2.

To further the experiment slightly, whenever a conductor in a circuit
has 0 current, the conductor can be cut without changing a thing.

Let's cut the coax at the voltage maximum (where the current is 0).
Nothing changes. The voltage and currents remain the same every
where. The powers remain the same everywhere, and yet there is no
longer a path from SG#1 to CL#2. The power being dissipated in CL#1
must be originating in SG#1.

Comments and corrections invited.

....Keith
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Old July 11th 03, 07:58 PM
Richard Harrison
 
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Keith wrote:
"So how does energy flow through a point in the circuit where the
voltage or current is always 0?"

The "0" is the sum of two voltages produced by adding together equal and
opposite voltages in two waves which are passing through each other with
no effect on each other.

Conductors producing the volts and amps from the waves they carry are
actually "bucket brigades". Distributed inductance and capacitance pass
along charges in a travel direction, or in both directions. There is no
problem as charges moving in opposite directions swell and shrink
occupancy at certain spots on the line. They don`t overflow, and charges
moving in each direction, like Ole Man River, they "jes keep movin`
along".

Best regards, Richard Harrison, KB5WZI

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Old July 10th 03, 02:01 PM
Richard Harrison
 
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Cecil, W5DXP wrote:
"50W will be reflected from the load and flow unopposed back to the
circulator load resistor. There is no face-off. Unless there is an
impedance discontinuity, forward waves have no effect on reflected
waves."

A 291.5-ohm load on a 50-ohm Zo produces a reflection coefficient of
0.707, and the rest follows suit.

Best regards, Richard Harrison, KB5WZI

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Old July 10th 03, 03:49 PM
W5DXP
 
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Richard Harrison wrote:

Cecil, W5DXP wrote:
"50W will be reflected from the load and flow unopposed back to the
circulator load resistor. There is no face-off. Unless there is an
impedance discontinuity, forward waves have no effect on reflected
waves."

A 291.5-ohm load on a 50-ohm Zo produces a reflection coefficient of
0.707, and the rest follows suit.


Yes, but there is no face off between forward waves and reflected
waves. Reflected waves flow unopposed back to the circulator load
resistor where they are dissipated. Forward waves can affect
reflected waves only at an impedance discontinuity where reflections
and re-reflections can occur. Reflected waves can indeed flow "back
up the fire hose" unopposed by the forward waves.
--
73, Cecil http://www.qsl.net/w5dxp



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Old July 10th 03, 06:26 PM
Richard Harrison
 
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I wrote:
"Zeros in voltage and current SWR waveforms are 180-degrees out-of-phase
with each other."

What I should have said was: Voltage is maximum when current is minimum
and vice versa.

Voltage and current peaks are just 90-degrees apart in SWR patterns.

Best regards, Richard Harrison, KB5WZI



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