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On Sat, 10 Mar 2007 23:21:35 GMT, Dave
wrote: the later chapter i quoted first is not based on electrostatics, and the formula for gauss's law is always the same. it is not dependent on time in any form. I will make one last effort to to set the record straight. In volume II of the Feynman Lectures on Physics, the title of chapter 15, section 6 is "What is true for statics is false for dynamics". The 5th paragraph of that section states "Gauss' law, [eq omitted] remains...". Also in that section, he has a table (Table 15-1) that contains two columns: FALSE IN GENERAL | TRUE ALWAYS (true only for statics) | ------------------------------------------------------ Coulomb's Law | Gauss' law [...] | [...] Then in chapter 18, section 1 paragraph 3 you will find the statement: "In dynamic as well as static fields, Gauss' law is always valid". I do not think I can make it any more clear than this. thank you for not continuing to prolong the misinformation in this thread. Do you also accuse Feynman of spreading misinformation? Unfortunately he died a few years ago. --John |
#2
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#3
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On Mar 11, 12:38 am, Richard Clark wrote:
On Sun, 11 Mar 2007 06:00:27 +0000 (UTC), (John E. Davis) wrote: On Sat, 10 Mar 2007 23:21:35 GMT, Dave wrote: I will make one last effort to to set the record straight. In volume II of the Feynman Lectures on Physics, the title of chapter 15, section 6 is "What is true for statics is false for dynamics". The 5th paragraph of that section states "Gauss' law, [eq omitted] remains...". Also in that section, he has a table (Table 15-1) that contains two columns: FALSE IN GENERAL | TRUE ALWAYS (true only for statics) | ------------------------------------------------------ Coulomb's Law | Gauss' law [...] | [...] At the bottom of that Table is a footnote explaining the bold arrow of your Gauss' law. It reads: "The equations marked by an arrow (-») are Maxwell's equations." The table equation, and the one you reference in the text are both Maxwell's. Then in chapter 18, section 1 paragraph 3 you will find the statement: "In dynamic as well as static fields, Gauss' law is always valid". That chapter, too, clearly defines the same equation you are making an appeal to as "Maxwell's equations." Observe Table 18-1 "Classical Physics" It is explicitly derived from the treatment as equation 4.1 - also denoted Maxwell's equations. "All charges are permanently fixed in space, or if they do move, they move as a steady flow in the circuit ( so rho and j are constant in time). In these circumstances, all of the terms in the Maxwell equations which are time derivatives of the field are zero." Equations 4.6 and 4.8, the cross and dot products resolve to zero. If you crank up the clock, Feynman concludes "Only when there are sufficiently rapid changes, so that the time derivatives in Maxwell's equations become significant, will E and B depend on each other." We will, of course, recognize this EB relationship as the field of radiation and further recognize there is no field of radiation without a significant time factor. The grad operator, an inverted, enbolded del, is discussed by Feynman in Chapter 2-4 is a significant element of these equations. The grad operator obeys the same convention as the derivative notation. Feynman's instruction clearly shows that Maxwell's treatment (actually Heaviside's work before him) is a generalization of Gauss to include time (sorry Art, he got there two centuries ago) and hence describes Gauss equations as special (zero-time) instances of the generality. 73's Richard Clark, KB7QHC I'm easily impressed, but none the less I'm still impressed. Derek. |
#4
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On 10 Mar, 23:00, (John E. Davis) wrote:
On Sat, 10 Mar 2007 23:21:35 GMT, Dave wrote: the later chapter i quoted first is not based on electrostatics, and the formula for gauss's law is always the same. it is not dependent on time in any form. I will make one last effort to to set the record straight. In volume II of the Feynman Lectures on Physics, the title of chapter 15, section 6 is "What is true for statics is false for dynamics". The 5th paragraph of that section states "Gauss' law, [eq omitted] remains...". Also in that section, he has a table (Table 15-1) that contains two columns: FALSE IN GENERAL | TRUE ALWAYS (true only for statics) | ------------------------------------------------------ Coulomb's Law | Gauss' law [...] | [...] Then in chapter 18, section 1 paragraph 3 you will find the statement: "In dynamic as well as static fields, Gauss' law is always valid". I do not think I can make it any more clear than this. thank you for not continuing to prolong the misinformation in this thread. Do you also accuse Feynman of spreading misinformation? Unfortunately he died a few years ago. --John John I thank you for your input and continued attempts to overcome the barriers placed before you. I don't know what Country you come from but I apologise that the baggage associated with me was then dumped upon you and I fully understand your action of withdrawal. Thanks again for your efforts and I trust that you will not see this as sign of a new America emerging. It is certainly not the America I envisaged some forty years ago when I arrived. I think it is best that I to withdraw . Sometime it takes a hundred years before science is permitted to move on. A similar thing happened to George Green of Nottingham U.K. and only reemerged in full by the presentation by some body else who received the acreditation. Best regards Art Unwin KB9MZ...XG |
#5
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![]() "art" wrote John I thank you for your input and continued attempts to overcome the barriers placed before you. I don't know what Country you come from but I apologise that the baggage associated with me was then dumped upon you and I fully understand your action of withdrawal. Thanks again for your efforts and I trust that you will not see this as sign of a new America emerging. It is certainly not the America I envisaged some forty years ago when I arrived. I think it is best that I to withdraw . Sometime it takes a hundred years before science is permitted to move on. A similar thing happened to George Green of Nottingham U.K. and only reemerged in full by the presentation by some body else who received the acreditation. Best regards Art Unwin KB9MZ...XG Yo XG man! While most of us sympatize with your condition, but your drivell is getting beyong pathetic, you dumping on America is picture of your messed up judgement and your "evaluation" of people here is just reflection of who is messed up. If you can't get over losing your colonies, or superiority of colonist inbreds, you are free to go back, Eurabia is waiting for you and will undoubtly recognize your genius (of calling reflector - director, and having patent to prove it) and award you cross of the empire or something. Just what the heck is your "Gausian" contraption suppose to get me that all other known antennas or my designs don't? Lousy pattern with three lobes over perfect ground and 6 dB F/B at 200 MHz??? Whopeeeee!!! God bless America, the last bastion of freedom and the greatest country on Earth! Love it, or leave it! 73, cut the crap and get well! Yuri, ex OK3BU |
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