We describe a simple method to experimentally determine the frequency dependencies of the per-unit-length resistance and conductance of transmission lines. The experiment is intended as a supplement to the classic measurement of the transient response of a transmission line to a voltage step or pulse. In the transient experiment, an ideal (lossless) model of the transmission line is used to determine the characteristic impedance and signal propagation speed. In our experiment, the insertion losses of various coaxial cables are measured as a function of frequency from 1 to 2000 MHz. A full distributed circuit model of the transmission line that includes both conductor and dielectric losses is needed to fit the frequency dependence of the measured insertion losses. Our model assumes physically sensible frequency dependencies for the per-unit-length resistance and conductance that are determined by the geometry of the coaxial transmission lines used in the measurements.
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January 2021
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January 01 2021
Modeling and measuring the non-ideal characteristics of transmission lines
J. S. Bobowski
J. S. Bobowski
a)
Department of Physics, University of British Columbia
, Kelowna, British Columbia, Canada
V1V 1V7
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J. S. Bobowski
a)
Department of Physics, University of British Columbia
, Kelowna, British Columbia, Canada
V1V 1V7a)
Electronic mail: [email protected]
Am. J. Phys. 89, 96–104 (2021)
Article history
Received:
June 24 2020
Accepted:
August 19 2020
Citation
J. S. Bobowski; Modeling and measuring the non-ideal characteristics of transmission lines. Am. J. Phys. 1 January 2021; 89 (1): 96–104. https://doi.org/10.1119/10.0001896
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