(Stewart 1999) published a set of measurements of the popular Wireman windowed ladder line products. His measurements were in the range 50-150MHz. They form the basis for most calculators on quantitative analyses at HF, despite the fact that it is a dangerous extrapolation for CCS construction.
Nevertheless, the directly stated measurements at 50MHz are a useful calibration point for reconciliation.
Above is Table 1 from Stewart, it sets out measurements of four Wireman m.products and a plain copper line.
A model for current distribution in a conductor is that for a homogenous conducting half space with surface current parallel to the interface. Current density at depth d is given by the expression J=Js*e^(-(1+j)*d/δ) where δ is the skin depth (δ=(ω*µ*σ)^0.5, σ is the conductivity).
Copper round conductor – 1.024mm (#18) single core
A correspondent recently wrote regarding the theory expounded in (Findling et al 2012), and their measurements and performance predictions of the AlexLoop Walkham, Portable Magnetic Loop Antenna by PY1AHD.
The authors give a formula for lossless Q (to mean no loss other than by radiation) without explanation or justification.
The formula is wrong, possibly a result of slavish acceptance of Hart’s two factor incorrectly applied (see Duffy 2015, and Antennas and Q). This error feeds into an optimistic estimate of antenna efficiency.
Analysis of measurement data
(Findling et al 2012) presents a table of measured half power bandwidth for the Alexloop.
Taking the 40m case, lets calculate to Q for a lossless loop, Qrad in Findling’s terms.
The project has been expanded to accept the Aosong DHT22 temperature and humidity sensor. The DHT22 produces a digital output (signed tenths of a degree) has a range of -40° to 80°, accuracy of about 0.5°, and 0-99.9% RH and costs a few dollars. hcctl can be configured for either temperature or humidity sensing (not both simultaneously).
Above is a development prototype with the DHT22 being heated by a small incandescent dial lamp to test function.