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![]() "Art Unwin" wrote in message ... On Sep 15, 8:15 am, "christofire" wrote: "jaroslav lipka" wrote in message ... On Sep 15, 7:06 pm, "christofire" wrote: - - snip - - I certainly haven't arrived here by sitting on anyone's shirt tails. If you'd care to read some of the history of this NG you'd see where I come from. Your question is not put clearly, although I have seen garbled sentences like this before in this Usenet group. My first question is: have you bothered to read any of the respected books on the subject, such as 'Electromagnetics with applications' by Krauss and Fleisch. I suspect if you had you wouldn't be asking me such a question - it makes no sense! Do I take it you are referring to Gauss's law for electric fields? Are you aware that there is a counterpart Gauss's law for magnetic fields? I don't believe there is such a thing as a single 'Gaussian law of statics' - someone has made that up! Gauss's law for electric fields states: the integral of the electric flux density over a closed surface equals the charge enclosed. This is an important part of the basis of electrostatics, that is the study of electrical phenomena caused by static charges, but it applicable at a point in time to any scenario that involves an enclosed charge - which means any electrical conductor, whether it carries a non-moving charge, DC or AC. Gauss's law for magnetic fields states: the integral of the magnetic flux density over a closed surface is equal to zero, and this is an important part of the basis of magnetics, again whether static or changing. Both of Gauss's laws are embodied in Maxwell's equations and for the normal RF case of sinusoidally-alternating variables a number of different notations can be used, a popular one being phasor notation. As you will know, phasors are vectors that rotate at the same angular frequency but have arbitrary phase relationships and amplitudes - so phasor notation is a compact way of expressing quite a lot. But, in this case, every one of the phasors involved, D the displacement current density, rho the enclosed charge, and B the magnetic flux density, is a variable that alternates with the passage of time. 'Dynamic' variables if you want to call them that. Neither of Gauss's laws applies directly to strength of an electric or magnetic field but the linkage is the other two of Maxwell's equations based on Ampere's law and Faraday's law, which are both applicable to time-varying fields - 'dynamic fields' if you must. So ... would you like to put your question more clearly? What do you actually mean by 'to change a static field into a dynamic field' in respect of antennas, where all the electrical and magnetic variables are changing with time, especially the fields? Is this the result of a misunderstanding of the meaning of the word 'electrostatic' - used to differentiate between those phenomena caused by the presence of contained charge and those caused by its movement? Chris (written by Unwin) Gauss's law of statics is enclosed particles in equilibrium. Add a time varying field to same it becomes a dynamic field in equilibrium and thus equates with Maxwell's laws. (written by Chris) This appears to be paraphysical nonsense, once again. (a) There are no 'Maxwell's laws' - there are the four Maxwell's equations based on laws ascribed to the other three authors named above. The term 'eqilibrium' does not feature in, and is not required in, Maxwell's equations or the laws it is based upon. Radio communication has been based on Maxwell's equations for more than 100 years without need for modification. (b) There is no single 'Gauss's law of statics' as I explained above, and both of Gauss's laws can be applied to time varying quantities but neither contains a field. (c) Both of Gauss's laws are included in Maxwell's equations without modification - there is no need to 'Add a time varying field to same' - it is there already in each case. Once again: Gauss's laws are already applicable to time varying quantities. (d) What Maxwell provided was unification of the presentation of the four equations in differential, integral or phasor form, so the relationships and linkage between them became clear and they could all be used together to solve electromagnetic problems. I think the group is aware by now what I think of the writings of people who claim to know better than Kraus, Jordan & Balmain, Jasik, et al, on the basis of no practical evidence. Chris |
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