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"Waves of Average Power"
On 7 Nov, 08:41, (J. B. Wood) wrote:
In article , Richard Clark wrote: Energy propagates much as we expect it does; power - well, not always (hardly ever). 73's Richard Clark, KB7QHC Hello, and the above statement is simply not true as any undergraduate textbook in electromagnetics will point out. Transmission lines, for example, be they 60 Hz or at RF due in fact transmit power from source to load. At any point along the line the average power is given by 1/2 the real part of the product of the voltage and complex conjugate of the current. Voltage and current contain their respective components of travelling waves in both directions (source-to-load and load-to-source). Of course the transport medium doesn't have to be a transmission line - it can be free space, say from a transmitting antenna to a receiving antenna. I have no idea how many of those in our ham hobby have taken any courses in electromagnetics (traditionally called "fields" by undergrad EE students). Oh I believe that there are quite a few who memorised what was taught and what was in the books but now they are getting older and the memory is failing where they didn't understand the basics. Since you may be younger and have taken the EE course. Try adding a time varient to Gaussian statics law and thus show how it equals Maxwell's law. But them you may be relying on memory as well and bypassed mathematics. Richard has come a long way by doing that and nobody is equiped in mathematics to call his bluff. Things were like that when I was in the military. Don't ask why just put it into the memory box and follow orders. If you can't remember then follow the rest of the squad. Doesn't that sound like ham radio? Art Such courses are part of an undergrad EE program and if you major in electrophysics (as I did) at the grad level you delve much deeper into the subject. Sincerely, John Wood (Code 5550) e-mail: Naval Research Laboratory 4555 Overlook Avenue, SW Washington, DC 20375-5337 |
"Waves of Average Power"
Richard Clark wrote:
On Wed, 07 Nov 2007 11:41:29 -0500, (J. B. Wood) Hi John, I majored in English. Yet and all that intellectually crippled, I found you couldn't respond to heat (the expression of power by your own choice) being the dissipation of energy in a load, and that energy is the entity that propagates - not power. As the topic has migrated away from your original thesis of heat and the sun towards fields; I, as an English major, am at a loss to discover the correlation that resolves how fields can resurrect the missing heat in an Earth equivalent volume of space, or provide the surplus heat found in a smaller volume of the moon - all from the same source of those fields, the sun. Are fields selectively powerful (like a god)? Do the fields of Hello, Richard and all. With regard to power (be it from the sun or some other source of energy), strictly speaking I would agree that what is transported is energy. Physicists and engineers usually include the ability to do work (as well as the work itself) as part of the concept of power. For example, we can have "available power" at the terminals of a receiving antenna even though the antenna is not connected to a dissipating termination. Radio/antenna engineers and physicists also use the concept of "power density" (usually in units of watts per square meter) at some distance from a transmitting antenna. We then speak of an antenna having an effective "capture area" that can extract a portion of this power from incident electromagnetic waves. In this regard we speak of power being transmitted through a medium. If we clock energy flow across a boundary for a specified time then the quantity of energy divided by that time represents power flow across the boundary. With regard to the sun/volume question I'm not qualified to answer that. The earth still retains its primordial inner sources of heat and other forms of energy as manifiested in erupting volcanoes, geysers, and deep sea thermal vents. Of course these are in addition to radiant energy from the sun. Sincerely, |
"Waves of Average Power"
On Wed, 07 Nov 2007 13:23:12 -0500, "J.B. Wood"
wrote: In this regard we speak of power being transmitted through a medium. Hi John, You might be interested in the work of Debra R. Rolison, Ph.D. Naval Research Laboratory -- Surface Chemistry Branch. The lead-in would be the medium of aerogels where her presentation that I attended nearly 5 years ago was called "The Importance of Nothing in Nanostructured Materials." You will learn from her that power in the form of Heat (not many other forms left) does not transmit through aerogels. However, for her research, that is one of those "People" magazine kind of qwik-facts where her work investigates to a greater depth. She is quite conversant and has a vice-like grip on the topic. Ask about Phonons insofar as how Power moves through a medium. 73's Richard Clark, KB7QHC |
"Waves of Average Power"
J. B. Wood wrote:
Transmission lines, for example, be they 60 Hz or at RF due in fact transmit power from source to load. The unit of power is the watt. If power is being transmitted, the transmitted power would have units of watts/sec or joules/sec/sec. What would be the physical meaning of joules per second squared? -- 73, Cecil http://www.w5dxp.com |
"Waves of Average Power"
Cecil Moore wrote:
J. B. Wood wrote: Transmission lines, for example, be they 60 Hz or at RF due in fact transmit power from source to load. The unit of power is the watt. If power is being transmitted, the transmitted power would have units of watts/sec or joules/sec/sec. What would be the physical meaning of joules per second squared? I have no idea what you're talking about, Cecil. (But then I haven't read every post in this thread.) Sounds like you just coined a term for energy acceleration, whatever that might apply to. If you don't object I think I'll stick with what I've gleaned over the years as an engineer and going back to my university days. You are free of course to provide your own interpretation of electrical phenomena. Sincerely, and 73s, |
"Waves of Average Power"
J.B. Wood wrote:
Cecil Moore wrote: The unit of power is the watt. If power is being transmitted, the transmitted power would have units of watts/sec or joules/sec/sec. What would be the physical meaning of joules per second squared? I have no idea what you're talking about, Cecil. I know and you are not alone. I was taught about power transmission in college but it was actually energy transmission they were talking about. The power company doesn't charge me for power - they charge me for KWH, i.e. energy. Consider a Bird wattmeter in a flat transmission line. It is at a fixed point reading watts. Are the watts moving? The Bird is displaying joules/sec passing a fixed point. The joules are certainly moving but are the joules/sec moving? As you noted, it seems that if the joules/sec are moving then the joules must necessarily be accelerating. You can measure the number of cars passing over a bridge in one hour and write that number on your notepad. The cars are moving but is that cars/hour measurement written on your notepad moving? If so, where is it going? -- 73, Cecil http://www.w5dxp.com |
"Waves of Average Power"
On 7 Nov, 14:40, Cecil Moore wrote:
J.B. Wood wrote: Cecil Moore wrote: The unit of power is the watt. If power is being transmitted, the transmitted power would have units of watts/sec or joules/sec/sec. What would be the physical meaning of joules per second squared? I have no idea what you're talking about, Cecil. I know and you are not alone. I was taught about power transmission in college but it was actually energy transmission they were talking about. The power company doesn't charge me for power - they charge me for KWH, i.e. energy. Consider a Bird wattmeter in a flat transmission line. It is at a fixed point reading watts. Are the watts moving? The Bird is displaying joules/sec passing a fixed point. The joules are certainly moving but are the joules/sec moving? As you noted, it seems that if the joules/sec are moving then the joules must necessarily be accelerating. You can measure the number of cars passing over a bridge in one hour and write that number on your notepad. The cars are moving but is that cars/hour measurement written on your notepad moving? If so, where is it going? -- 73, Cecil http://www.w5dxp.com Cecil, Velocity and acceleration are two different things Velocity is the amount of movement and accelleration is the rate of change of movement dependent on the number of samples taken over a period of time Joules are not necessarily accelerating. Think Newton....ut + 1/2 f(t sqd) Art Art |
"Waves of Average Power"
Cecil Moore wrote:
Please apply the same irradiance equation that optical physicists were using before you were born. Any physics professor should be able to accomplish that simple task. If optical physicists were in error in using that equation 100 years ago, please explain their error. So far no response to this simple request. The graphic of the non-reflected glass example is at http://www.w5dxp.com/thinfilm.gif We know that the reflections are 100% canceled during steady-state. The problem is: With the given data, calculate the magnitude of the total reflection back toward the source immediately after the first internal reflection arrives back at the thin-film to air surface at time t3 and is superposed with the external reflection. The two superposed waves are 180 degrees apart. The external reflection is 0.01 watts at a reference angle of zero deg. This is the normal reflection from the thin-film surface The first internal reflection is 0.009801 watts at 180 degrees. This is the first reflection from the glass. These two waves superpose at t3. The irradiance equation, using P for power density, is: Ptotal = P1 + P2 + 2*SQRT(P1*P2)cos(A) where (A) is the angle between the two waves and Ptotal is the total power density of the reflections toward the source after the two waves are superposed. Ptotal = 0.01 + 0.009801 + 2*SQRT(0.01*0.009801)(-1) Ptotal = 0.019801 - 0.0198 = 0.000001 watt There is 0.0198 watts of destructive interference which, according to the conservation of energy principle, must result in 0.0198 watts of constructive interference in the opposite direction. The magnitude of the reflection toward the source drops from 0.01 watt to 0.000001 watt at the arrival of the first internal reflection from the glass. That's a five magnitude reduction in the reflections at the time of the arrival of the first internal reflection. The reflections back toward the source are eventually completely eliminated during steady-state. There was no vector math and no need to calculate the magnitudes and phases of the electric and magnetic fields - just a straight forward calculation to get the answer. As long as the source remains in place, the steady- state cancellation of the reflections toward the source is permanent. It is difficult to analyze how that could happen unless the internal reflections interact with the external reflection resulting in wave cancellation. Everyone is invited to prove the above calculation to be incorrect. Hint: if one actually performs a vector analysis, the magnitude of reflection result will be exactly the same as above. The above method does not invalidate or replace a vector analysis. Unlike a vector analysis, it simply shows where the energy goes. Optical physicists knew this a century ago - most RF engineers have yet to learn it. -- 73, Cecil http://www.w5dxp.com |
"Waves of Average Power"
Cecil, W5DXP wrote:
"The cars are moving but is the cars/hour measurement written on your notepad moving?" A simple question deserves a simple answer. Yes it is moving downstream to the next tallyman`s position. Best regards, Richard Harrison, KB5WZI |
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