The uncertainty in a prospective application can be estimated from the permittivities
of the primary material and additive using the standard mixing rule and the known uncertainty of the electrical
measurements. Substantially better results are typically obtained by averaging, but for a conservative estimate
the standard deviation of the permittivity measurements is taken as 0.01. The calculated uncertainty is low when
the permittivity of the additive is different from that of the primary material. This is evident in the figure,
in which primary materials are ranked along the horizontal axis in order of increasing permittivity and additives
materials are ranked along the vertical axis also in order of increasing permittivity. To evaluate a prospective
measurement application, locate a point on the graph horizontally at the relative permittivity of the primary
material and vertically at the relative permittivity of the additive and identify the zone in which the point is
located. Measurement uncertainties in each of the zones are labeled on the graph.
Successive measurements at a single frequency once every two seconds could be averaged over three minutes to yield
nearly one hundred measurements, reducing the uncertainty by a factor of ten. The chart gives conservatively estimated
single measurement uncertainties, and a factor of ten better performance is often achieved.
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