Determination of Voltage, Current, and Mlagnetic Field Distributions Together with the Self-Capacitance, Inductance and HF Resistance of Single-Layer Coils

A theoretical investigation for quantitative evaluation of voltage, current, and magnetic field distribution along single-layer coils is presented herein. The magnitudes and the number of harmonics present in the distribution are obtained for the first time. From the voltage and current distributions, the self-capacitance and inductance of coils have been obtained. The self-capacitance depends mostly on the length to diameter ratio; it slightly depends on the amount of harmonics as well as the pitch to wire-diameter ratio. The harmonics mainly rely on the number of turns, the operating frequency, the coil diameter, and the length to diameter ratio. From the magnetic field distribution, the HF coil resistance is obtained. Experimental results extracted from previous authors are in good agreement with the theoretical predictions.