Skin Resistance of a Transmission-Line Conductor of Polygon Cross Section

1 July 1955

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IRE

Vol. 43 (7) , 805-808
https://doi.org/10.1109/JRPROC.1955.278144

Abstract

If a conductor cross section is any straight-sided polygon that can be circumscribed on a circle, it is found to have the same skin resistance as a conductor whose cross section is this circle. For example, a square wire has the same resistance as a round wire of the same radius, though the square perimeter is 4/π times as great. This "polygon rule" is derived from the "incremental-inductance rule" of the skin effect, published in 1942. It applies equally to inner or outer conductors, though the current distribution is very different. It applies to some unusual shapes that are difficult to compute by any other method.

Keywords

This publication has 3 references indexed in Scilit:

Problems in Strip Transmission Lines
IEEE Transactions on Microwave Theory and Techniques, 1955
Formulas for the Skin Effect
Proceedings of the IRE, 1942
Skin effect in rectangular conductors at high frequencies
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1929