Very many thanks for this analysis Jim.
It does suggest there is some mileage in this approach. As you say, with the
Marconi there are many large losses that make it less efficient at 9kHz so the
loop may not be so bad comparing one against the other.
73s
Roger G3XBM
Via my 2.4GHz handheld (iPod Touch 4g)
On 18 Mar 2011, at 15:26, "James Moritz" <[email protected]> wrote:
> Dear Roger, LF Group,
>
>> Just wondering if anyone has done the maths to work out what sort of ERP
>> could be expected at 8.97kHz with, say, 100W to a smallish loop antenna in
>> the garden?
>
> A 10m x 10m, 100m^2 loop of "thickish" 3mm dia solid wire would have a
> resistance at 9kHz of roughly 0.1ohm. With 100W available, 32A antenna
> current should be possible, assuming negligible tuning capacitor losses.
> Inductance would be of the order of 40uH. A tuning capacitor of roughly 8uF
> would be needed.
>
> The radiation resistance of an electrically small loop is:
>
> 320 * pi^4 * A^2 / (lambda)^4, where A = area, lambda = wavelength
>
> for 100m^2 at 9kHz, Rrad is about 250 pico-ohms (!)
>
> The ERP is then 1.8 * I^2 * Rrad, about 0.45uW
>
> So pretty low, but with a bit bigger loop and a bit more power, it would seem
> to be competitive with small verticals of a similar size. This is perhaps
> mainly because of the serious losses present in loading coils that people
> have been able to make for verticals, combined with high voltage limitations
> of fairly short wire antennas, and high environmental losses of various types
> also due to high electric fields. The voltage in this example would only be
> about 70V. So might be worth trying for "back garden" experiments (assuming
> your antenna masts can support thick enought wire!), although I think it
> would not be competitive for bigger balloon/kite supported vertical antennas.
>
> Cheers, Jim Moritz
> 73 de M0BMU
>
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