Calculations of the parameters of the single-layer solenoidal inductor of finite length surrounded by a lossy dielectric medium

The expressions for estimating the spatial distributions of a quasi-static and rotational electric field are obtained for the near-field zone of single-layer solenoidal coils (inductors) surrounded by a medium with complex permittivity. Calculations are performed at field frequencies substantially lower than the self-resonance frequency. The environment conductance is taken into account, and its influence on the effective inductance, self-capacitance, and ohmic resistance of the inductor is established. It is demonstrated that capacitive currents can flow only between turns that are symmetrically arranged with respect to the central plane perpendicular to the coil axis.