Mathematical model of an inductive measuring cell for contactless conductometry

We study an inductive conductometric cell and give an equivalent circuit and a mathematical model of an inductive cell. The model takes into account sample-coil capacity (i.e. capacity formed by the coil and the sample under study) and eddy currents. It is the samplecoil capacity that makes the inductive cell applicable for measuringthe currents. The model can be used to calculate the inductive cell impedance for different characteristics of samples, materials and the dimensions of a cell without numerically solving partial differential equations. The results of the electric conductivity of low conductive samples (with specific conductance less than 1 S/m) in numerical simulation are verified in experiment for several devices with an inductive cell. Some features an engineer has to remember while designing contactless conductometers with a conductometer based on an inductive cell are discussed. Key words: conductometry, inductive conductometric cell, L-cell, conductometer, capacitive effect in inductive cell, skin-effect in inductive cell.