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#1
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Jim Kelley wrote:
You should think about it because amateur radios don't usually have circulators on their output, and the result illuminates a corner of the discussion that you've been pretty closed minded about. Here's a brainteaser for you, Jim. Assume the following example under steady-state conditions: XMTR--X--tuner--Y--one second long lossless feedline---291.42 ohms Ps=100W Pfor=200W-- --100W=Pref PL=100W The lossless tuner is tuned for a Z0-match so there is zero reflected power at point 'X'. The Z0 of the feedline is 50 ohms. The voltage reflection coefficient at the load is 0.707 making the power reflection coefficient 0.5 We suddenly disconnect the source at point 'Y'. After the source is disconnected, how many joules of energy are delivered to the load? _____ How many seconds does it take to dissipate all the energy in the feedline? _____ On a second by second basis, how much power is delivered to the load after the disconnect? _____ _____ _____ _____ _____ -- 73, Cecil, http://www.qsl.net/w5dxp |
#2
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![]() Cecil Moore wrote: Jim Kelley wrote: You should think about it because amateur radios don't usually have circulators on their output, and the result illuminates a corner of the discussion that you've been pretty closed minded about. Here's a brainteaser for you, Jim. Assume the following example under steady-state conditions: XMTR--X--tuner--Y--one second long lossless feedline---291.42 ohms Ps=100W Pfor=200W-- --100W=Pref PL=100W If you aren't going to solve the problem I posed, then I don't see why I should feel obliged to bother with any more of yours. Only seems fair. There is a significant point to my question that you still have not addressed. Would you have us believe that some new revelation is being presented by this latest problem of yours? Or perhaps it's simply intended to divert attention away, once again, from my question. Or maybe it was just too hard for you. How about a simpler problem then: XMTR--X--one second long lossless feedline---infinite ohms PS=100W How many Joules are stored in the transmission line? Why? 73, ac6xg |
#3
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On Fri, 01 Sep 2006 11:03:39 -0700, Jim Kelley
wrote: How many Joules are stored in the transmission line? 100 Why? Spillage. The cup is two halves full (or no halves empty for the pessimists in the crowd) |
#4
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Richard Clark wrote:
On Fri, 01 Sep 2006 11:03:39 -0700, Jim Kelley wrote: How many Joules are stored in the transmission line? 100 That may be the correct solution to a somewhat different problem. Why? Spillage. The cup is two halves full (or no halves empty for the pessimists in the crowd) Pessimists would report that "there are a disasterous and insurmountable number of full halves", when in fact there are just two. 73, ac6xg |
#5
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On Fri, 01 Sep 2006 12:49:43 -0700, Jim Kelley
wrote: Richard Clark wrote: On Fri, 01 Sep 2006 11:03:39 -0700, Jim Kelley wrote: How many Joules are stored in the transmission line? 100 That may be the correct solution to a somewhat different problem. Hi Jim, So, with a wrong answer (and a direct answer at that, imagine!). Do I warrant the "correct" answer? 73's Richard Clark, KB7QHC |
#6
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Richard Clark wrote:
So, with a wrong answer (and a direct answer at that, imagine!). Do I warrant the "correct" answer? With Jim's lackadaisical approach to conservation of energy, there is no "correct" answer. He didn't even tell you what the forward and reflected power readings were. He also doesn't seem to realize that a 100W XMTR cannot force any power into an infinite load. I am trying to apply some boundary conditions that will remedy that problem. So Richard, what do you think happens when a constant power output XMTR is facing an infinite load? What happens when an irresistible force meets an immovable object? -- 73, Cecil http://www.qsl.net/w5dxp |
#7
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On Fri, 01 Sep 2006 22:13:32 GMT, Cecil Moore
wrote: With Jim's lackadaisical approach to conservation of energy, there is no "correct" answer. A long winded answer for you don't know. Talk about lackadaisical with all the fluff cut off the end of this too. |
#8
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Jim Kelley wrote:
Or maybe it was just too hard for you. It was impossible for anyone to solve without having a math model for the sources. How about a simpler problem then: This is not simpler - it is contradictory. It provides a constant power source with nowhere for the source power to go during steady-state. If you change the source to a Thevenin equivalent then it can be solved. XMTR--X--one second long lossless feedline---infinite ohms PS=100W Please explain how the XMTR can supply 100W during steady- state? Where does the 100 joules/sec go? As stated, this problem, like your other one, is impossible to resolve. If you change the source to a Thevenin equivalent 141.42V and 50 ohm source impedance and specify Z=50 ohms feedline impedance then the problem becomes solvable. The answer is that 200 joules exist in the feedline and, contrary to what W7EL states, will dissipate in the source resistance after the source voltage goes to zero. Note the source resistance is the only resistance in the entire circuit. -- 73, Cecil http://www.qsl.net/w5dxp |
#9
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Cecil Moore wrote:
If you change the source to a Thevenin equivalent 141.42V and 50 ohm source impedance and specify Z=50 ohms feedline impedance then the problem becomes solvable. Going with this configuration which is similar to the 1/2 WL stub suggested by W7EL in his Food For Thought #1: SW Source nc c Pfor=100W-- --Pref=100W 141.4V---o---o---one second long lossless 50 ohm stub--open 50 ohm o---/\/\/\/\/\--Gnd no 50 ohms For the first two seconds after power up, the Thevenin source delivers 200 joules into the stub while dissipating 200 joules as heat in the source resistance. Those 200 joules of energy in the stub must be conserved. During steady-state, assuming the stub is an exact integral number of wavelengths, the source will see an open circuit and be delivering zero power. A wattmeter calibrated for 50 ohms will read 100 watts forward power and 100 watts reflected power during steady-state. After steady-state is reached, we throw the switch and connect the stub to a 50 ohm dummy load. 100 watts will be supplied to the dummy load for two seconds for a total of 200 joules. Who was it who said that reflected power cannot be recovered? (Food For Thought #1 on www.eznec.com). -- 73, Cecil http://www.qsl.net/w5dxp |
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