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On 11 Nov, 14:18, Ian White GM3SEK wrote:
Richard Harrison wrote: Richard Fry wrote: "Read Terman`s RADIO ENGINEERS` HANDBOOK, 1943 edition, pp 30-31 for more on this (or many other sources)." Amen. Terman doesn`t say different things in different places. He is consistent. In Terman`s 1955 edition of "Electronic and Radio Engineering" he writes on page 21: "It is to be noted that some of this (magnetic) flux exists within the conductor and therefore links with, i.e., encircles, current near the center of the conductor while not linking current flowing near the surface. The result is that inductance of the central part of the conductor is greater than the part of the conductor nesr the surface; this is because of the greater number of flux linkages existing in the central region. What Terman says is true, for the particular example that he chooses. But it may leave an incorrect impression that the conductor needs to be completely encircled by flux linkages. In fact the skin effect will develop on the surface of any conducting material of any shape, wherever there is RF current flowing. Here is a link to a detailed mathematical proof, from 'Transmission Lines for Communications' by C W Davidson (Macmillan Press, 1978, ISBN 0 333 32738 1):http://www.ifwtech.co.uk/g3sek/misc/skin.htm Davidson's analysis starts with the most general assumption possible: that RF current is flowing over any small patch of a conductor's surface. No assumption is required about the reason for the RF current to be present, only that it is. Likewise no assumption is required about the cross-section of the conductor, only that it has an exposed surface (and by implication, that there are no constraints due to a small radius or insufficient depth). Davidson then derives all the usual equations for the skin effect. The only drawback of this derivation is that it is highly mathematical, and difficult to put into words; but it's still physically correct. To repeat, I am not saying that Terman's explanation is incorrect; only that the skin effect is a far more general phenomenon than his particular examples imply. This is important because, by taking the existence of the skin effect as a guaranteed starting-point, the explanations for the behaviour of coaxial cables, Ian, I have no disagreement to your reply above other than you are being to king in your response I personaly would have put more emphasis on what you stated with respect to RF traveling along a path that has no external surface .With emphasising where many have about RF travel without which one CANNOT understand coaxial cables or braid The inside of braid on a coax CAN and DOES carry RF current but it does NOT radiate, because it does NOT have an exposed surface other than a dielectric interface. The outside surface can and DOES radiate if a RF current flows on the outside of the braid. I would also add that copper/braid itself does not turn into a dielectric or contain a diode thus it also WILL also pass a RF current at its centre but of course does NOT radiate. This very fact was refuted by popular vote on this newsgroup where poll standings always overule science. So yes, without true understandings errors are sure to congregate and eventually will create a "fact". Art KB9MZ...xg 'bazooka' baluns, 'shielded' loops and many other devices will all fall neatly into place. -- 73 fromIanGM3SEK 'In Practice' columnist for RadCom (RSGB)http://www.ifwtech.co.uk/g3sek |
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