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#61
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Cecil Moore wrote:
Roy Lewallen wrote: But some people just can't deal with any idea they didn't come up with on their own ... You mean like Ptotal = P1 + P2 + 2*SQRT(P1*P2)cos(a) ? :-) The first time I saw that equation was in Dr. Best's QEX article. Yes, and you didn't believe it when you saw it. 73, Tom Donaly, KA6RUH |
#62
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Tom Donaly wrote:
Cecil Moore wrote: You mean like Ptotal = P1 + P2 + 2*SQRT(P1*P2)cos(a) ? :-) The first time I saw that equation was in Dr. Best's QEX article. Yes, and you didn't believe it when you saw it. Your memory is slightly faulty. What I objected to was Dr. Best's assertion that 75w + 8.33w = 133.33w. It still doesn't, never did, never will, and violates the conservation of energy principle. What Dr. Best apparently failed to realize is that the extra 50 watts of energy required to balance that energy equation does NOT come from waves P1 and P2 but instead comes from wave cancellation of waves P3 and P4 on the source side of the match point. Wave P1 contains 75 watts and Wave P2 contains 8.33 watts. Without a source of constructive interference energy, they cannot add up to 133.33 watts. That source is destructive interference energy, -2*SQRT(P3*P4), from the source side of the match point which supplies the +2*SQRT(P1*P2) constructive interference energy to the load side of the match point where (P1*P2)=(P3*P4). At an impedance discontinuity in a transmission line, far away from any source, all constructive interference energy must necessarily be balanced by an equal magnitude of destructive interference energy in order to satisfy the conservation of energy principle. This is all explained in my "WorldRadio", Oct./Dec. 2005 articles. Unfortunately, most of the Greek letter Thetas didn't make it through the conversion process and wound up as underline marks. Part I is already on my web page under "The Rest of the Story" along with a couple of remarks about forward power, reflected power, superposition, and interference. Part II will appear on my web page after Christmas. -- 73, Cecil http://www.qsl.net/w5dxp |
#63
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Asimov wrote:
"An antenna is just a stationary probe in a moving E-field." Along some path in space there is an electric current which is changing. It is growing or it is shrinking. It is not constant.. This current as a result of its changes radiates electric and magnetic flux. The electric flux lines are are perpendicular to the current path. The magnetic flux lines encircle the current path. The flux is moving away from the current path at the speed of light. At a distant point these electric and magnetic flux lines arrive because they sustain each other during their long trip. There is an initial wavefront. It started as a spherical wavefront but has traveled so far that for practical purposes it is now a plane wave. In the wavefront there is an electric force which would attract or repel electrons but it has the same strength everywhere over the arriving wavefront. Therefore, wlectrons in a wire parallel to the wavefront are not moved along its length by the electric force. This force would only tend to move electrons from one side of the wire`s diameter to the other side of the same diameter. Our interest is in current along the length of the wire. However, the magnetic lines of force are sweping at the speed of light across the wire which parallels the wavefront. If the wire also parallels the direction of the current which generated the lux (is correctly polarized), it will experience a voltage induced all along its length. This induction is totally a result of the magnetic field. Best regards, Richard Harrison, KB5WZI |
#64
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There are some serious errors in this explanation.
1. The source is not an "electric current which is changing". There is an EM field made up of photons. There are two theories describing this, one is a wave theory and the other is a particle theory. Neither one completely enplains the phenomenon. 2. There is no current and therefore there is no "current path". 3. The E and H aspects behave similarly, both are changing. The E domain is no different in that respect then the H domain. The E portion of this particle/wave phenomenon is as capable of transforming into a useful signal in the antenna the H portion is. Antennas can be either E devices or H devices. E devices respond to the electric dimension and create a signal while H devices respond to the magnetic dimension and create a signal. Dan Richard Harrison wrote: Asimov wrote: "An antenna is just a stationary probe in a moving E-field." Along some path in space there is an electric current which is changing. It is growing or it is shrinking. It is not constant.. This current as a result of its changes radiates electric and magnetic flux. The electric flux lines are are perpendicular to the current path. The magnetic flux lines encircle the current path. The flux is moving away from the current path at the speed of light. At a distant point these electric and magnetic flux lines arrive because they sustain each other during their long trip. There is an initial wavefront. It started as a spherical wavefront but has traveled so far that for practical purposes it is now a plane wave. In the wavefront there is an electric force which would attract or repel electrons but it has the same strength everywhere over the arriving wavefront. Therefore, wlectrons in a wire parallel to the wavefront are not moved along its length by the electric force. This force would only tend to move electrons from one side of the wire`s diameter to the other side of the same diameter. Our interest is in current along the length of the wire. However, the magnetic lines of force are sweping at the speed of light across the wire which parallels the wavefront. If the wire also parallels the direction of the current which generated the lux (is correctly polarized), it will experience a voltage induced all along its length. This induction is totally a result of the magnetic field. Best regards, Richard Harrison, KB5WZI |
#65
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On Mon, 05 Dec 2005 07:05:09 -0800, dansawyeror
wrote: Antennas can be either E devices or H devices. Hi Dan, Only at D.C. and then it mocks the sense of what an antenna should be. 73's Richard Clark, KB7QHC |
#67
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![]() Cecil Moore wrote: Tom Donaly wrote: Cecil Moore wrote: You mean like Ptotal = P1 + P2 + 2*SQRT(P1*P2)cos(a) ? :-) The first time I saw that equation was in Dr. Best's QEX article. Yes, and you didn't believe it when you saw it. Wave P1 contains 75 watts and Wave P2 contains 8.33 watts. Without a source of constructive interference energy, they cannot add up to 133.33 watts. And obviously he still doesn't believe it, Gene. 73, ac6xg |
#68
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Jim Kelley wrote:
Wave P1 contains 75 watts and Wave P2 contains 8.33 watts. Without a source of constructive interference energy, they cannot add up to 133.33 watts. And obviously he still doesn't believe it, Gene. Without the 2*SQRT(P1*P2)=50w constructive interference energy, 75w + 8.33w will *NEVER* add up to 133.33 watts. Dr. Best's equation, 75w + 8.33w = 133.33w, is superposition of powers which is not allowed AND a violation of the conservation of energy principle. You don't really support superposition of powers and violations of conservation of energy, do you?. If you furnish exactly 75 watts and your neighbor furnishes exactly 8.33 watts, can you power a 133.33 watt device? -- 73, Cecil http://www.qsl.net/w5dxp |
#69
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Gene, W4SZ wrote:
"Terman`s comment on page 2 of the 1955 edition simply points out the operation of Faraday`s Law." Faraday`s law says that, while the magnetic flux linked with a closed path loop or coil is changing, the closed path is the source of an electromotive force (voltage) whose magnitude depends only upon the rate of change of the flux through the path. If we cause an antenna to be surrounded by an altrernating magnetic field, a voltage will be induced in the antenna in accordance with Faraday`s law, This induced voltage is necessary and sufficient to account for all of the energy received by the antenna. Best regards, Richard Harrison, KB5WZI |
#70
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Hi Jim,
I was going to try to stay out of this recurring silliness, but since you accidentally pulled me in I will add my spin. The only mistake made by Steve Best was allowing himself to get dragged by Cecil into the intellectual landfill. Yes, most people with rudimentary arithmetic skills would agree that 75 plus 8.33 does not equal 133.33. However, anyone even remotely familiar with waves would readily understand that the component waves Cecil loves to talk about are merely mathematical conveniences. It is entire possible to set up other model configurations, such as a combination of a one traveling wave and one standing wave. In order to make his model work, Cecil needs to invoke the mythical P3 and P4 on the source side of the reflection discontinuity. He never gets around to explaining how these two waves, which exactly cancel at all points in space and at all times, can contain any energy at all. The reason that most practitioners of wave models solve for the fields first and then worry about power or energy is: a - This procedure works correctly all the time. b - It avoids the problems created by analyzing fictitious extra components added for mathematical convenience but containing no physical reality. I do not expect to change Cecil's mind. Other than his own potential embarrassment from the silly publications in World Radio, his folly is harmless. 73, Gene W4SZ Jim Kelley wrote: Cecil Moore wrote: Tom Donaly wrote: Cecil Moore wrote: You mean like Ptotal = P1 + P2 + 2*SQRT(P1*P2)cos(a) ? :-) The first time I saw that equation was in Dr. Best's QEX article. Yes, and you didn't believe it when you saw it. Wave P1 contains 75 watts and Wave P2 contains 8.33 watts. Without a source of constructive interference energy, they cannot add up to 133.33 watts. And obviously he still doesn't believe it, Gene. 73, ac6xg |
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