OwenDuffy.net 


Calculate Zo and gamma

This calculator calculates Zo and γ from Zsc and Zoc of a line section of known length.

Inputs:
    Real /magnitude Imaginary / angle
Short circuit
Open circuit
Line length (m)       
k    
Frequency (MHz)    
     
Results:
Zo (Ω)
γ (Note 1)
MLL (dB/m)
VF

The calculator does not do a lot of error checking, if you enter nonsense, it will probably produce nonsense.

Beware: randomly chosen spot values expose the result to effects of measurement noise, be mindful of measurement noise.

Note 1: The solution for γ involves the log of a complex number \(r \angle \theta\) which is one of the many possible values \(ln(r) + j \left(\theta + 2 \pi k \right)\) for non-negative integer k. Conveniently, the real part α is simply \(ln(r) \) and the real part of γ is the matched line attenuation in Np/m which can be scaled to dB/m. The value given is the kth solution.

Example 1 is from a sweep of a RG6 CCS cable, data @ 1.87MHz extracted from the saved .s1p files.

Example 2 is from a sweep of speaker twin, data @ 40.53MHz extracted from the saved .s1p files.

Example 3 is from a sweep of Commscope C4510404 RG-11 CCS, data @ 3.6MHz extracted from the saved .s1p files.

Links

Changes

Version Date Description
1.01 02/01/2018 Initial.
1.02    
1.03    
1.04    
1.05    

© Copyright: Owen Duffy 1995, 2021. All rights reserved. Disclaimer.