Richard Harrison wrote: 
 
 Keith wrote: 
 "It does go back to "double think" unless you can explain how energy can 
 flow when power is zero." 
 
 Think! The only way the voltage can go to zero on a good transmission 
 line which is energized is by interference between an incident wave and 
 a reflected wave. Zero volts on the line is merely a manifestation of 
 VSWR. 
 
No disagreement from me as long as you replace 'incident wave' and 
'reflected wave' with the more precise 'incident voltage wave' and 
'reflected voltage wave'. This aligns with the precise use of V in 
VSWR. 
 
Adopting Roy's more precise notation for power 
P(t) = V(t) * I(t)   (1) 
The question is: Do you accept this expression as describing power? 
 
a) If not, then there is no "double think", but a lot of electrical 
engineering will have to be tossed as well. 
 
b) If you do accept (1), then in a case where V(t) is zero for all time, 
power must be zero as well. V(t) is zero for all time at a current 
maximum in a shorted transmission line, so the power (energy flowing) 
must be zero as well. 
 
c) If you accept (1), but also claim that there is energy flowing when 
V(t) is zero, then "double think" is an appropriate description. 
 
I think these are the only 3 options. 
 
If you choose b), then I think we are in agreement. 
If you choose c), then ... I'm not sure what the 'then' is. 
If you choose a), we can explore all the difficulties that will arise 
when (1) is not true and with some effort you may arrive at b). 
 
 Forward (incident) power and reverse (reflected) power are both on the 
 line. A zero voltage on the line requires a complete load reflection so 
 that the reflection volts are as strong as the forward volts. 
 
The sentence with 'volts' is correct. The sentence with 'power' leads 
to a great deal of difficulty as described above. 
 
 A directional coupler, at the very spot where a slotted line probe would 
 sense zero volts, would show you have full power (with its volts and 
 amps) coming and going. 
 
Many people use directional couplers as a reason to stay out of 
camp b), but this necessarily means they are in a) or c). The first 
step to enlightenment is to briefly set aside directional couplers 
and 'Bird watt' meters, and realize that in a choice between a), b) 
or c), b) is the only place it makes sense to be. Then go back and 
figure out how directional couplers are not inconsistent with b). 
 
 In reality there is not zero volts in the incident wave or in the 
 reflected wave. There`s full voltage coming and going. The volts just 
 happen to be out-of-phase at this point. 
 
Yes, indeed. But there is no power. 
 
....Keith 
		 
		
		
		
		
		
		
		
		
	
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