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#1
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On Apr 16, 11:56*pm, Cecil Moore wrote:
Keith Dysart wrote: Q1. Where does this energy come from? Q2. Where does this energy go? Answer to both. We do not know and we do not care. Well, that certainly puts an end to this discussion. An intriguing response. It was such a good example that it just stopped you in your tracks. But was this because you have learned that you were in error and now better understand the behaviour of sources when they are absorbing energy? Or was it because you have realized the contradictions inherent in your previous explanations but can not work out how to resolve them? Or was it because you have detected just a hint of the contradictions to come and want to give up before having to realize their full impact? ...Keith |
#2
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Keith Dysart wrote:
It was such a good example that it just stopped you in your tracks. Not at all. Everything I have said applies to a distributed network. Since you insist on using a lumped circuit source in a distributed network example, further discussion is futile because you are mixing apples and oranges. What you perceive as the source absorbing energy is the reverse traveling wave energy flowing back through the source unimpeded. After all, how much energy can be absorbed by 0+j0 ohms? The illusion of energy absorption is the direct result of you refusing to deal with the component wave energies. -- 73, Cecil http://www.w5dxp.com |
#3
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On Apr 17, 7:35*am, Cecil Moore wrote:
Keith Dysart wrote: It was such a good example that it just stopped you in your tracks. Not at all. Everything I have said applies to a distributed network. Since you insist on using a lumped circuit source in a distributed network example, further discussion is futile because you are mixing apples and oranges. So you are saying that ideal voltage sources work differently in distributed networks than they do in lumped circuits. Perhaps you could expand on the differences using the following two circuits. This one is lumped. 50 ohms +----------\/\/\/\/-----------+ +| +| Vsl=100 VDC Vsr=50 VDC | | +-----------------------------+ And this one is similar but includes a transmission line. 50 ohms +----------\/\/\/\/----+----------------+-------+ +| arbitrary +| Vsl=100 VDC length, any Vsr=50 VDC | impedance line | +----------------------+----------------+-------+ After the circuit has settled how will the ideal voltage sources on the right be behaving differently in the two examples? If you think it matters, try 50 ohm line. Where does the energy being absorbed by these ideal voltage sources go? What you perceive as the source absorbing energy is the reverse traveling wave energy flowing back through the source unimpeded. After all, how much energy can be absorbed by 0+j0 ohms? None. But pushing a current against a voltage (regardless of the cause of the voltage) will definitely use energy. The illusion of energy absorption is the direct result of you refusing to deal with the component wave energies. These circuits are DC, but Vf and Vr still work. The line settles to a constant (over length) 50 V regardless of the line impedance, but the value of Vf and Vr will depend on the impedance of the line. Why does it settle to 50 V? What else can it do? It is connected to a 50 VDC ideal voltage source. Using a line impedance of 50 ohms, compute Vr. Ooopppps. Vr is equal to 0: no reflected power. The ideal voltage source on the right, after the circuits settle, will be absorbing 50 joules/s in both cases. ...Keith |
#4
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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/ and http://www.ttr.com/TELSIKS2001-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." Where does the energy being absorbed by these ideal voltage sources go? 0+j0 ohms cannot absorb energy. 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). 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. :-) -- 73, Cecil http://www.w5dxp.com |
#5
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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 |
#6
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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 |
#7
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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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