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"Gary Schafer" wrote
Jack, I don't know what you have been reading in regards to skin effect but it is very real and present. Hi Gary, when a poster asked for the formulas for this discussion, I could not display them in the newsgroup (ascii) so I pasted several of them on a website..... http://members.cox.net/pc-usa/station/skineffect.htm I don't know what you mean "there is no standard depth for any frequency"? It is well known. The resistance of a particular conductor, not just it's material, must be known to calculate skin depth. Averaging it with constants will produce the wide variety of depths that are seen in different formulas and tables. At 60 hz the skin depth is around 1/3 of an inch. Very significant in a power transmission cable. Or a lightning ground cable.. Look up any large power cable ratings and you will usually find a DC resistance specified and an AC resistance also specified. The AC resistance is due to skin effect. Yes I agreed with you it is relevant only at very high power or long lengths when inductive reactance becomes as important as DC resistance. Here are some figures on skin depth for copper: Skin depth (in mils) = 2.602/(sq. root of frequency in Mhz). At 1.8 Mhz it's 1.94 mils or .00194 inches, just under 2 thousandths. It decreases as the inverse square root of frequency so at twice the frequency it will be .707 times as deep, and half as deep at 4 times the frequency. At 29.7 Mhz it's about half a thousandth. At 4 or 5 skin depths any additional thickness ceases to have additional value. Gary, the problem with using those constants is, again, it will allow you to reduce the skin depth to nearly nothing, when in fact below a certain cross section at HF frequencies, formula predictions for skin depth cease to be relevant. The current, assumed to be constant, cannot continue to use less and less cross section until it has nothing to work with. The formulas are an approximation that allows designers to consider the resistance casued by skin effect and use an appropriately sized conductor. For instance, I could not use 1,000w on thin RG-8X if your application from a table using constants was accurate. At 5 mhz there is considerable cross section of that small diameter center conductor carrying current. That is why the center conductors are not paper-thin hollow tubes the way the outer shield _can_ be. Do you agree? Best, Jack |
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