![]() |
The Rest of the Story
On Mar 26, 1:37*pm, Cecil Moore wrote:
Keith Dysart wrote: Now if the 200 W from the wave from source 1 and the 50 W from the wave from source 2 represent actual energy flows, then the "interference energy" must also be an actual energy flow to satisfy conservation of energy. One other observation: Although the interference model will work for a lumped circuit example, there is no reason to use it as it complicates the computations and adds nothing to the solution. The wave reflection model also works for circuits but there is simply no good reason to use it for lumped circuit analysis. Except when it can be called into service to disprove some aspects of *your* "wave reflection model". Where interference becomes a useful tool is when it happens away from any compensating source. An analysis of the interference of two EM light waves in free space far removed from any source leaves us with two constant sources of energy, the total energy of which has to go somewhere. The following two web pages tell us exactly where the energy goes. http://www.mellesgriot.com/products/optics/oc_2_1.htm http://micro.magnet.fsu.edu/primer/j...interference/w... It is unfortunate that they did not expect someone to use their website to try to understand the behavior of transmission lines, or they might have taken more care to explain what is happening at the sub-wavelength level. Your theory seems to require that the EM waves must know beforehand whether to carry energy or not from a star light years away. You apparently have invented a rather curious "smart wave theory". That would be nice, but no, not required. Though it is easy to see how one might be misguided into thinking so. The question is, can you set aside the mis-guiding influences long enough to learn about the alternative explanations? The question is: How did those two interfering waves from Alpha Centauri know whether to arrive at the planet Earth ten years later carrying ExH energy or not carrying ExH energy? It is a question, but only seems relevent if *your* model is incorrect. ...Keith |
The Rest of the Story
On Mar 26, 2:53*pm, Cecil Moore wrote:
Keith Dysart wrote: Let us build a slightly better example that complies with your "NOT =" expression above. Your constant voltage sources are NOT a better example and not even a good example. To confront the subject being discussed, you should use constant power sources. Well, if that is all it takes to stop you, here is a variation that should satisfy. It aligns well with your example of Fig 1-1...... Let us build a slightly better example that complies with your "NOT =" expression above. 50 ohms 50 ohms +------/\/\/\----------------+---/\/\/\---+ | | | | \ | Vs1(t) = 282.8cos(wt) Rload / Vs2(t) = 141.4cos(wt) | = 200 Vrms 50 ohms \ | = 100 Vrms | / | | | | +----------------------------+------------+ Using superposition the contribution from source 1 is Vload.s1 = 100 Vrms Iload.s1 = 2 Arms and from source 2 is Vload.s2 = 50 Vrms Iload.s2 = 1 Arms combining Vload = 150 Vrms Iload = 3 Arms From Pload = Vload * Iload = 150 * 3 = 450 Waverage As can be seen, this example satisfies your requirement for interference: [V1(t)^2 + V2(t)^2] NOT= [V1(t) + V2(t)]^2 Computing the imputed powers for the waves from each source we have Pload.s1 = 100 * 2 = 200 Waverage Pload.s2 = 50 * 1 = 50 Waverage To obtain the power in the load from these imputed powers we need to use Pload = Pload.s1 + Pload.s2 + Pload.correction 450 = 200 + 50 + Pload.correction 200 = Pload.correction From previous analysis Pcorrection = 2 * sqrt(P1 * P2)cos(theta) (the cos(theta) term is appropriate here because these are average powers being used) Pcorrection = 2 * sqrt(10000) * 1 = 200 as required from above. So according to your energy analsysis, the power in the load comes from the wave from source 1 = 200 W the wave from source 2 = 50 W "interference energy" = 200 W for a total of 450 W as required. Now if the 200 W from the wave from source 1 and the 50 W from the wave from source 2 represent actual energy flows, then the "interference energy" must also be an actual energy flow to satisfy conservation of energy. What element provides the energy for this "interference energy" flow? In other posts, you have suggested that this would be a constructive interference energy and that there would be an equal destructive interference energy to provide it. If you still claim this, where is this destructive interference happening? ...Keith |
The Rest of the Story
Keith Dysart wrote:
Or perhaps the element you have identified does not have the appropriate energy flow function? (It doesn't.) Please prove your assertion. This requires that the sum of the flows out of the elements providing energy equals the sum of the flows into the elements receiving the energy. True for energy. Not true for power. And we are still waiting for the energy flow function for the element that you claim is doing the storing of the energy. If you cannot understand the reference I gave you, I don't know what to tell you. Does it detect energy? Are you sure? Or is it voltage that it detects? Or current? Please provide proof that voltage or current can exist without energy. -- 73, Cecil http://www.w5dxp.com |
The Rest of the Story
Keith Dysart wrote:
The question is, can you set aside the mis-guiding influences long enough to learn about the alternative explanations? Sorry, I'm not interested in those religious concepts. -- 73, Cecil http://www.w5dxp.com |
The Rest of the Story
Keith Dysart wrote:
In other posts, you have suggested that this would be a constructive interference energy and that there would be an equal destructive interference energy to provide it. If you still claim this, where is this destructive interference happening? I have said a source can match any destructive interference by supplying less power and match any constructive interference by supplying more power. If you have to falsify what I have said to try to win the argument, you have already lost. Since you have ample sources available in your example, my assertion about interference far removed from any source doesn't apply - but you know that. -- 73, Cecil http://www.w5dxp.com |
The Rest of the Story
Keith Dysart wrote:
Cecil Moore wrote: In fact, the thing you need to do is forget the transmission line and deal with light waves encountering boundaries with different indexes of refraction. The problem is identical, but dealing with light out in the open prohibits you from pushing your mashed-potatoes energy religion. No. Light, in a 3 dimensional space and at such high frequency makes the math and measurements so complicated that it is extremely difficult to follow the energy. Now how did I know that you would refuse to expose your strange concepts to the light of day? -- 73, Cecil http://www.w5dxp.com |
The Rest of the Story
On Sun, 09 Mar 2008 21:33:41 -0400, Chuck
wrote: On Sun, 9 Mar 2008 15:07:26 -0700 (PDT), K7ITM wrote: snip Note that, as far as I've been able to determine, Michelson did not have a coherent light source to shine into his interferometer, but still he saw interference patterns. Perhaps he had invented lasers snip It is said he used sodium vapor gas light (~589 nm). Coherent enough. Monochromatic is not the same as coherent or in phase such as a laser. Chuck ----== Posted via Newsfeeds.Com - Unlimited-Unrestricted-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 120,000+ Newsgroups ----= East and West-Coast Server Farms - Total Privacy via Encryption =---- Roger Halstead (K8RI & ARRL life member) (N833R, S# CD-2 Worlds oldest Debonair) www.rogerhalstead.com |
The Rest of the Story
Cecil Moore wrote:
Roger Sparks wrote: You need to take a look at the spreadsheets. Roger, in a nutshell, what is the bottom line? The bottom line in a nutshell? I'll try. First, I added a note to both spreadsheets indicating that zero degrees is CURRENT zero degrees. This because the source turns out to be reactive, with current peak 45 degrees from voltage peak. http://www.fairpoint.net/~rsparks/Sm...Reflection.pdf The spreadsheet addresses the following issues: Does the traveling wave carry power? Yes. The spreadsheet was built assuming that power is carried by traveling waves. Because the resulting wave form and powers seem correct, the underlaying assumption seems correct. Is power conserved on the transmission line, meaning, can the energy contained in power be conserved and located over time on the transmission line? Yes, the spreadsheet was built assuming that power could be conserved and traced over time so the underlaying assumption seems correct. Does interference occur in this example? The spreadsheet was built assuming that voltage and currents from superpose in a manner consistent with constructive and destructive interference, so the underlaying assumption seems correct. Is power stored in the reactive component for release in later in the cycle or during the next half cycle? Yes, power is stored on the transmission line during the time it takes for power to enter the line, travel to the end and return. The time of wave travel on the transmission line is related to the value of the reactive component. Does the direction of wave travel affect the measurement of voltage and the application of power to a device? Yes. A wave loses energy (and therefore voltage) as it travels through a resistance. As a result, power from the prime source is ALWAYS applied across the sum of the resistance from the resistor AND transmission line. The spreadsheet was built using this assumption and seems correct. (At times during the cycle, the forward and reflected waves oppose, resulting in very little current through the resistor. During those times, the power applied to the transmission line is much HIGHER because the reflected wave reflects from the load and source, and merges/adds to the forward wave from the source.) Is the power interference equation Ptot = P1 + P2 + 2*SQRT(P1*P2)cos(theta) valid? The equation was not reviewed on this spreadsheet. The bottom line, but maybe not in a nutshell. 73, Roger, W7WKB |
The Rest of the Story
Roger wrote:
Note that, as far as I've been able to determine, Michelson did not have a coherent light source to shine into his interferometer, but still he saw interference patterns. Perhaps he had invented lasers It is said he used sodium vapor gas light (~589 nm). Coherent enough. Monochromatic is not the same as coherent or in phase such as a laser. Just a slight addition here. Before lasers, the way to get a coherent light source was to bottle-up a high-intensity, monochromatic source, such as the aforementioned sodium- vapor light, in a reflective cavity with a very small pinhole in its side. As the photons dribble out through the pinhole, they are forced into a somewhat phase-coherent wave train. This source was used in optical processors for synthetic-aperture radar imagery back in the 50's.... Jim, K7JEB |
The Rest of the Story
Roger Sparks wrote:
The bottom line in a nutshell? I'll try. Thanks Roger, good stuff and much appreciated. My digesting of your spread sheets is about to be interrupted by surgery. During those times, the power applied to the transmission line is much HIGHER because the reflected wave reflects from the load and source, and merges/adds to the forward wave from the source.) May I suggest that you use the word "redistributed" instead of "reflected" as does the FSU web page at: http://micro.magnet.fsu.edu/primer/j...ons/index.html For the purposes of this discussion, I would suggest that the word "reflection" be reserved for something that happens to a single wave. When two waves are superposed, energy can be redistributed but technically it is not an ordinary reflection. I once used the word "reflection" to describe both phenomena and it confused people. Now I am careful to call the reversal of energy flow due to superposition a "redistribution" instead of a "reflection". For instance, the multi-colored patterns seen when a thin film of oil is on top of a puddle of water is not an ordinary reflection but a combination of multiple reflections and interference. In addition, the reflection coefficient seen by the reflected wave in our examples is 0.0 since the source impedance equals the characteristic impedance of the transmission line. There are no ordinary reflections when the reflection coefficient is zero. -- 73, Cecil http://www.w5dxp.com |
All times are GMT +1. The time now is 06:33 AM. |
Powered by vBulletin® Copyright ©2000 - 2025, Jelsoft Enterprises Ltd.
RadioBanter.com