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On Mon, 14 Apr 2008 13:40:20 -0700 (PDT)
Keith Dysart wrote: On Apr 14, 12:06*pm, Roger Sparks wrote: On Mon, 14 Apr 2008 09:10:20 -0500 Cecil Moore wrote: Keith Dysart wrote: All the elements of the system are completely specified in Fig 1-1 and we used circuit theory to compute the energy flows. Not surprisingly, they completely balanced: * *Ps(t) = Prs(t) + Pg(t) Yes, but that is only *NET* energy flow and says nothing about component energy flow. Everything is already known about net energy flow and there are no arguments about it so you are wasting your time. Your equation above completely ignores reflections which is the subject of the thread. You object to me being satisfied with average energy flow while you satisfy yourself with net energy flow. I don't see one iota of conceptual difference between our two positions. After hundreds of postings, all you have proved is that Eugene Hecht was right when he said instantaneous powers are "of limited utility", such that you cannot even tell me how many joules there are in 100 watts of instantaneous power when it is the quantity of those very joules that are required to be conserved and not the 100 watts. The limit in your quest for tracking instantaneous energy is knowing the position and momentum of each individual electron. Good luck on that one. I am going to summarize the results of my Part 1 article and be done with it. In the special case presented in Part 1, there are only two sources of power dissipation in the entire system, the load resistor and the source resistor. None of the reflected energy is dissipated in the load resistor because the chosen special conditions prohibit reflections from the source resistor. Therefore, all of the energy not dissipated in the load resistor is dissipated in the source resistor because there is no other source of dissipation in the entire system. Only RL and Rs exist. Pr is not dissipated in RL. Where is Pr dissipated? Even my ten year old grandson can solve that problem and he's no future rocket scientist. -- 73, Cecil *http://www.w5dxp.com This thread has one assumption that I find very frustrating, a voltage source that is a steady source of power but can not absorb power. *My view is that any source must both absorb and deliver power at some none zero impedance. * I am not sure why you desire a non-zero impedance. The usual definition of an ideal voltage source is that it provides or sinks what ever current is needed to hold the desired output voltage. When it is sourcing current then it is providing energy. No statement is made about where this energy comes from. When it is sinking current, it is absorbing energy. No statement is made about where this energy is going. A non-zero impedance is not required to make any of the above behaviour work. My thought needed more developement. When the source delivers power, we readily accept that the impedance of delivery will be the impedance of the attached circuit. We make the same assumption when a reflection is returned to the source. If we make the assumption that the source has the same impedance as the refection, then no reflection from the source is expected. So yes, I agree with your observation. If you include a non-zero impedance, then you have a more real world source which can often be modeled using the Thevenin equivalent circuit; an ideal voltage source (zero impedance) in series with a resistor representing the impedance of the real world source. -- 73, Roger, W7WKB |
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