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K7ITM wrote:
I'm asking this because calls of 'troll' and 'loony' aren't working for me. It's fairly straightforward, actually, if you believe in Faraday's law of magnetic induction. That law says that for any closed loop (through air, through a conductor, through anything), there is an electromotive force (a voltage source, if you will) whose magnitude is proportional to the rate of change of magnetic flux enclosed by the loop. As there is no voltage drop along a perfect conductor, if your closed loop follows the path of a perfect conductor, there is no voltage drop around that loop, and therefore the rate of change of the total magnetic flux enclosed by that loop must be zero. If the perfect conductor is a closed box, then you can draw loops anywhere through that conductor and you will never see a changing magnetic field enclosed by that loop. Thus, the inside of the box and the outside are magnetically independent; things happening on one side (magnetically) are not sensed on the other side. You can understand how this works if you realize that a changing magnetic field outside the box that would penetrate the box if it weren't there will induce currents in the conducting box (or even just in a closed loop of wire). Those currents will (in a perfect conductor) be exactly the right magnitude to cause a magnetic field that cancels the external one everywhere inside the closed box (or the net flux enclosed by a loop of wire). An example: if you short the secondary of a mains transformer, the primary will draw lots of current at its rated voltage: it's very difficult for the primary to change the magnetic flux in the core. Does the electric field shielding from a perfect conductor need any explanation? Of course, an imperfect conductor will be an imperfect magnetic shield. But a perfect conductor won't let any change of field through, no matter how slow (no matter how low an EMF it generates), so a perfect conductor works as a shield all the way down to DC. A box made with an imperfect conductor is essentially a perfect shield if the box's wall thickness is at least many skin-depths thick at the frequency of interest. That's a quick beginning. You can find lots more about this in E&M texts. There's even useful stuff about it on the web. ;-) Here is a link to a generalized proof of the skin effect: http://www.ifwtech.co.uk/g3sek/misc/skin.htm This is exactly equivalent to Tom's explanation above. The detailed proof is quite mathematical but it is solidly based in classical physics - Faraday's Law and Ampere's theorem (both of which are embodied in Maxwell's equations). This derivation produces the well-known equations for current density as a function of depth, conductivity and permeability. The special feature of this particular proof is that it's much more general than the ones you see in better-known textbooks - and therefore much more powerful. It shows that if RF current is flowing in/on *any* conducting surface, for *any* reason, then the skin effect will be present. The possible reasons why RF current may be flowing can be divided into two main groups: * "Circuit conditions" - the conductor is part of a circuit that makes RF current flow. * "Electromagnetic induction" - the conductor is intercepting an incident electromagnetic wave which induces a current. In either case, an RF current flows... and wherever that happens, there you will also find the skin effect. -- 73 from Ian GM3SEK http://www.ifwtech.co.uk/g3sek |
#2
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Ian White GM3SEK wrote in
: http://www.ifwtech.co.uk/g3sek/misc/skin.htm This is exactly equivalent to Tom's explanation above. The detailed proof is quite mathematical but it is solidly based in classical physics - Faraday's Law and Ampere's theorem (both of which are embodied in Maxwell's equations). This derivation produces the well-known equations for current density as a function of depth, conductivity and permeability. Thanks, that linking of laws and theories will help me (and the confirmation that classical physics will be enough to describe it, as I hoped). The OP mentioned Maxwell too... so did he make some error I have yet to grasp? Other than taking pot shots at an establishment, that is... ![]() The special feature of this particular proof is that it's much more general than the ones you see in better-known textbooks - and therefore much more powerful. It shows that if RF current is flowing in/on *any* conducting surface, for *any* reason, then the skin effect will be present. That appeals to me. I think the more something can be seen to apply generally, the more it helps. Proportion can't be gauged with a model that denies it. |
#3
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![]() "Ian White GM3SEK" wrote in message ... K7ITM wrote: I'm asking this because calls of 'troll' and 'loony' aren't working for me. - snip - Here is a link to a generalized proof of the skin effect: http://www.ifwtech.co.uk/g3sek/misc/skin.htm This is exactly equivalent to Tom's explanation above. The detailed proof is quite mathematical but it is solidly based in classical physics - further snip - -- 73 from Ian GM3SEK http://www.ifwtech.co.uk/g3sek Your statement on your web page 'It is temporarily reproduced here, under provisions of the Berne Copyright Convention, to support technical discussions on the rec.radio.amateur.antenna newsgroup' looks interesting because, to the best of my knowledge, the issue of the legality of copying parts of others' published work onto Web sites hasn't been resolved. I can't find any specific provision in the Berne Convention that _allows_ re-publishing on the Internet - it looks more likely to inhibit it because Web sites are automatically worldwide. On the page 'http://www.copyrightservice.co.uk/copyright/p09_fair_use' it is stated: 'Under fair use rules, it may be possible to use quotations or excerpts, where the work has been made available to the public, (i.e. published). Provided that: a.. The use is deemed acceptable under the terms of fair dealing. b.. That the quoted material is justified, and no more than is necessary is included. c.. That the source of the quoted material is mentioned, along with the name of the author.' But also: 'The actual specifics of what is acceptable will be governed by national laws, and although broadly similar, actual provision will vary from country to country.' Presumably you have researched this matter, and I for one would be interested to hear what you've found that appears to cover international www re-publishing. Chris |
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