A Study of the High-Frequency Resistance of Single Layer Coils

Existing formulas for the high-frequency resistance of single layer coils have all been obtained by making simplifying assumptions. The errors due to these assumptions are difficult to estimate and the data available are not conclusive. This paper gives the experimental results of a systematic study of the highfrequency resistance of single layer coils of the forms and sizes usual in radio circuits in the broadcast range of frequency. New formulas are derived by expanding Hickman's low-frequency formulas in asymptotic series, thus making the formulas applicable to high frequencies. An empirical formula for coils of intermediate lengths is also found. These formulas are compared with the experimental results.