The transmission-line properties of a round wire between parallel planes
- 1 October 1955
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 3 (4) , 203-207
- https://doi.org/10.1109/TAP.1955.1144325
Abstract
A transmission line is useful as a primary standard of impedance if there is a formula relating its wave resistance to its cross sectional shape. For this purposes the round wire between parallel planes is computed to a very close approximation. The method is based on dividing the usual single pole into a pair of spaced half-poles, between parallel lines on the plane of cross section. The resulting fomula covers all shape ratios to a high degree of approximation. Simple explicit formulas are given for the shape ratio and the wave resistance, each in terms of the others sufficiently close for practical purposes. For examples a line made of perfect conductors (assumed) and air dielectric (laboratory conditions), has a wave resistance of50.000\pm.003ohms if the ratio of radii is 0.54850 =1/1.82315.Keywords
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