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Either you didn't read the remainder of what I wrote, or I failed to
explain it clearly. I was speaking of antennas of a constant length in terms of wavelength as frequency is changed, for example half wavelength dipoles. If you cut the frequency in half, the skin depth increases by a factor of the square root of two, so (assuming a conductor at least several skin depths in radius) the resistivity decreases by the square root of two. But to maintain a constant antenna length in terms of wavelength, the wire length doubles. So the total wire resistance at the lower frequency is greater by a factor of the square root of two. In other words, if you make two half wavelength dipoles out of the same diameter and kind of wire, and cut one for 1 MHz and the other for 2 MHz, the 1 MHz dipole will have about 1.4 times the resistance of the 2 MHz one. That's why you're more likely to see the loss of steel wire in lower frequency antennas. Roy Lewallen, W7EL Richard Harrison wrote: Roy, W7EL wrote: "---the loss with a given wire size gets greater as you go lower in frequency,---. Effective resistance to r.f, is approximately proportional to the square root of the frequency due to "skin effect" as Roy mentioned in describing how current penetrates the conductor less completelty due to inductance deeper in the wire. So, loss is greater at higher frequency due to reduced effective cross-section in the wire. Conversely, the loss with a given wire size gets lower as you go down in frequency. Best regards, Richard Harrison, KB5WZI |
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#2
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Roy, W7EL wrote:
"Either you didn`t read the remainder of what I wrote, or I failed to explain it clearly." The fault was mine, not Roy`s. It is true that if you scale an antenna for half the frequency by doubling its length without increasing cross-section of the wire, its resistance increases. Resistance is rho(l/a) where rho is the resistivity, l is the length of the wire, and a is the area of the wire`s cross-section. Roy noted that lowering frequency by half means a wire twice as long which tends to double the wire`s resistance but skin effect increases penetration of the wire at the lower frequency. This reduces resistance by 1/sq.Rt.2. The same antenna using twice the length of the same wire but at half the frequency thus will have 1.414 times the effective resistance of the double frequency antenna. Best regards, Richard Harrison, KB5WZI |
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