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The Rest of the Story
Roy Lewallen wrote:
And I can show exactly where every erg of energy is at every instant in any component and at every point along the transmission line. I submit that any analysis technique which can't do this without knowing what happens to energy entering the source is inferior. I nominate this for "Quote of the year", by acclamation. Anyone who responds to the question: Where does the energy go? - with "We do not know and we do not care." does not deserve to be in the discussion. -- 73, Cecil http://www.w5dxp.com |
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On Fri, 18 Apr 2008 10:57:24 -0500
Cecil Moore wrote: Roger Sparks wrote: This is much too arbitrary for me. It's not arbitrary at all - it's the result of very carefully chosen boundary conditions including specifying a 100% 50 ohm system with ideal components. It agrees with Roy's posting about ideal source impedances and short-circuits. It is arbitrary because when using the short circuit model, you limit the discussion to only one example of transmission line termination--the example of a low impedance on one end of the line and a higher impedance on the other. As you well know, two additional examples of transmission line termination are possible--the transmission line impedance is higher (or lower) than the termination at either end. It is also arbitrary because the reflected wave information is useless. Any reflection from the source is folded into the sine wave to form one wave, which becomes the forward wave. The only real accomplishment from the exercise to to shift the frequency for a one cycle "bump", and that accomplishment does more to introduce confusion than contribute to better understanding. -- 73, Roger, W7WKB |
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On Apr 18, 10:48*am, Cecil Moore wrote:
Keith Dysart wrote: So you are saying that ideal voltage sources work differently in distributed networks than they do in lumped circuits. "Work differently" is a loaded expression. Since both lumped circuit and distributed network models exist, it is safe to say that the lumped circuit model and the distributed network model indeed "work differently". If they didn't "work differently", there would be no need for both of them to exist. Your previous error is obvious. You were using the lumped circuit model on the left side of Rs and using the distributed network model on the right side of Rs. If it is necessary to use the distributed network model for part of the network, then it is absolutely necessary to be consistent for all of the network. When you switched to the lumped circuit model on the right side of Rs, the energies balanced. When you switch to the distributed network model on the left of Rs, the energies will also balance. The lumped circuit model is a subset of the distributed network model. See:http://www.ttr.com/corum/andhttp://w...1-MASTER-1.pdf Here's some quotes: "Lumped circuit theory fails because it's a *theory* whose presuppositions are inadequate. Every EE in the world was warned of this in their first sophomore circuits course. ... Lumped circuit theory isn't absolute truth, it's only an analytical *theory*. ... Distributed theory encompasses lumped circuits and always applies." It is a good thing I checked the original references, otherwise I would have had to assign Corum and Corum immediately to the flake bucket where they could join some of the other contendors on this group. But no, it turns out they have the appropriate qualifications on all their statements about when it is appropriate to use a lumped analysis and when it is not. And when is lumped okay, when the physical dimensions of the elements can be measured in small fractions of a wavelength. Nothing new there, most of us know that. Let me remind you of the circuit at hand: 50 ohms +----------\/\/\/\/-----------+ +| +| Vsl=100 VDC Vsr=50 VDC | | +-----------------------------+ Firstly, there are no inductors to cause any sort of difficulty. Secondly, it is constructed of ideal components, which have the luxury of being infinitely small. And thirdly, it is a DC circuit so the two points above do not matter any way. So we are back to the question you keep dodging... Where does the energy being absorbed by these ideal voltage sources go? 0+j0 ohms cannot absorb energy. Now that is a non-sequitor. The element absorbing energy is an ideal voltage source, not a resistor. As Eugene Hecht said: "If the quantity to be measured is the net energy per unit area received, it depends on 'T' and is therefore of limited utility. If however, the 'T' is now divided out, a highly practical quantity results, one that corresponds to the average energy per unit area per unit time, namely 'I'." 'I' is the irradiance (*AVERAGE* power density). It is a DC circuit. This means the instantaneous value is the average value. (But poor Hecht, here he is saying power is more useful than cumulative energy, and you misinterpret him to be comparing instantaneous to average. And is it the distribution over the area that is being averaged, or the distribution over time?) You seem to have discovered that "limited utility". You have an instantaneous power calculated over an infinitesimally small amount of time being dissipated or stored in an impedance of 0+j0. Compared to that assertion, the Virgin Birth seems pretty tame. :-) Again, it is a DC circuit since we have had to go back to learning the fundamentals of ideal voltage sources. But back to the simple question... Where does the energy that is flowing into the ideal DC voltage source on the right go? If no energy is flowing into the ideal voltage source on the right, where is the energy that is being continuously provided by the ideal voltage source on left going? Of the 100 W being provided by the ideal source on the left, only 50 W is being dissipated in the resistor. Where goes the remaining 50 W, if not into the ideal voltage source on the right? ...Keith |
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On Apr 18, 4:23*pm, Cecil Moore wrote:
Roy Lewallen wrote: Anyone interested in learning more about this and its application can look up "dynamic resistance" on the web or in an appropriate text. Another name for "dynamic resistance" is "virtual resistance". It is an *EFFECT* of superposition, not a cause of anything. Are you suggesting that the negative "dynamic resistance" of a tunnel diode is an *EFFECT* of superposition? Please feel free to expand on this claim. ...Keith |
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Roger Sparks wrote:
It is arbitrary because when using the short circuit model, you limit the discussion to only one example of transmission line termination ... It is not arbitrary - it is what it is. All of the source impedance, Rs, is separated from Vs. That leaves only a 0+j0 dead short impedance possible for the series source. If it was some other value, the distributed network model would still work. Any reflection from the source is folded into the sine wave to form one wave, which becomes the forward wave. Yes, in exact accordance with the distributed network model. What it means is that the source is not delivering the folded-in reflected energy at the time the reflected energy joins the source signal. Since I don't see that energy in Keith's equations, chances are that is why they didn't balance. -- 73, Cecil http://www.w5dxp.com |
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Keith Dysart wrote:
On Apr 18, 4:23 pm, Cecil Moore wrote: Another name for "dynamic resistance" is "virtual resistance". It is an *EFFECT* of superposition, not a cause of anything. Are you suggesting that the negative "dynamic resistance" of a tunnel diode is an *EFFECT* of superposition? Sorry, I was mistaken about the definition of "dynamic" in the context of physical components. -- 73, Cecil http://www.w5dxp.com |
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On Sat, 19 Apr 2008 13:02:08 GMT
Cecil Moore wrote: Roger Sparks wrote: Any reflection from the source is folded into the sine wave to form one wave, which becomes the forward wave. Yes, in exact accordance with the distributed network model. What it means is that the source is not delivering the folded-in reflected energy at the time the reflected energy joins the source signal. Since I don't see that energy in Keith's equations, chances are that is why they didn't balance. -- You are missing an important observation here. When the energy from the reflected wave folds into the forward wave, any further analysis is a replication of the first analysis. Nothing new is learned. I think what you want to see is a source matched to the load, so that all the energy flows one way, to the resistor Rs. Your proposal is to allow/force reflectons from the source Vs so that effectively, the resistor Rs becomes the only load. This is then a demonstration/proof for what? -- 73, Roger, W7WKB |
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Roger Sparks wrote:
You are missing an important observation here. When the energy from the reflected wave folds into the forward wave, any further analysis is a replication of the first analysis. Nothing new is learned. I'm posting steady-state values. If it is already steady-state, nothing new is needed. The point is that some of the steady-state forward energy is not being delivered by the source. Your proposal is to allow/force reflectons from the source Vs so that effectively, the resistor Rs becomes the only load. No, the resistor Rs is not the only load. The resistor plus the rest of the network is the load. With a 45 deg shorted stub the load is 50+j50 as you previously reported. -- 73, Cecil http://www.w5dxp.com |
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Keith Dysart wrote:
So we are back to the question you keep dodging... I'm not dodging anything. I am ignoring irrelevant examples. The context under discussion is configurations of single source systems with reflections where the average interference is zero. So please explain how your example applies to what we are discussing. Where are the reflections? Where is the average interference equal to zero? -- 73, Cecil http://www.w5dxp.com |
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On Apr 19, 11:23*pm, Cecil Moore wrote:
Keith Dysart wrote: So we are back to the question you keep dodging... I'm not dodging anything. I am ignoring irrelevant examples. The context under discussion is configurations of single source systems with reflections where the average interference is zero. So please explain how your example applies to what we are discussing. Where are the reflections? Where is the average interference equal to zero? Your explanations are predicated on a misunderstanding of the behaviour of ideal voltage sources. Despite your protests to the contrary, ideal voltage sources can, and do, absorb energy. The discussion needs to digress to address this fundamental misunderstanding since this misunderstanding renders all else moot. And so... Let me remind you of the circuit at hand: 50 ohms +----------\/\/\/\/-----------+ +| +| Vsl=100 VDC Vsr=50 VDC | | +-----------------------------+ And we are back to the question you keep dodging... Where does the energy that is flowing into the ideal DC voltage source on the right go? If no energy is flowing into the ideal voltage source on the right, where is the energy that is being continuously provided by the ideal voltage source on left going? Of the 100 W being provided by the ideal source on the left, only 50 W is being dissipated in the resistor. Where goes the remaining 50 W, if not into the ideal voltage source on the right? Once it is agreed that ideal DC voltage sources can indeed absorb energy, we can discuss the same for ideal AC voltage sources. Once that is agreed, we can return to the discussion of your 'interference free' circuit. ...Keith |
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