Measurement of conductivity by induction

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Abstract
The exact solution to the problem of determining the conductivity of a metallic cylinder from the measurement of the decay of induced currents is compared to the approximate solution which considers the cylinder to be a single time‐constant R‐L network. We consider the general case where the sample partially fills the primary coil and where the primary coil has an arbitrary time constant. Over a wide range of values for the coupling coefficient and over a wide range of values for the ratio of the dominant time constant τ1 to the primary time constant τP′, we calculate the error involved in the approximate approach.

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