Abstract
The paper describes a simple analytical approximation for the inductance of two-wire transmission lines of circularly cylindrical wires with proximity effect. It yields precise results up to very high frequencies, and also at all interaxial distances between the wires above some limit. Its accuracy is established by comparison to numerical computations and to measurements. It is shown that the proximity effect cannot be neglected unless the interaxial distance between the wires amounts to at least four wire diameters. Further, images of the current distribution in various situations are discussed.
Highlights
At high frequencies inductance decreases compared to its value at DC due to skin effect, which has been well documented for wires of circular, annular, and rectangular cross section [1] – [6]
We describe a simple yet precise analytical approximation for the inductance of a cylindrical two-wire transmission line that takes the proximity effect into account
Equations (11) – (14) for L and equation (18) for C allow to compute the precise wave impedance of twowire transmission lines, even in function of the frequency, via the equation Zwave = √L/C. It seems that not much information is available on the inductance of cylindrical two-wire transmission lines in the literature, and that its calculation requires extensive numerical computations
Summary
At high frequencies inductance decreases compared to its value at DC (direct current) due to skin effect, which has been well documented for wires of circular, annular, and rectangular cross section [1] – [6]. Et al presented results of precise inductance and resistance measurements on rectangular loop coils composed of circularly cylindrical copper wires at various wire distances and frequencies [5]. Some of these measurements entailed the proximity effect. We describe a simple yet precise analytical approximation for the inductance of a cylindrical two-wire transmission line that takes the proximity effect into account. We verify it by means of systematic numerical calculations for a set of interaxial wire distances and frequencies.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
