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Line with Low Loss

 
Here is an example of a lower loss line (in terms of wavelengths).  The electrical parameters of the line are R=1 W/m, L=1e-6 H/m, G=1e-3 Siemens/m, and C=1e-10 F/m.  The frequency of excitation is 5 MHz.
 

Voltages for a Low Loss Line

 
Notes:
  • On this example we can see some nice standing wave patterns.  However, we cannot really define a VSWR for a lossy line since the ratio of traveling and standing waves changes as a function of position on the line.
  • This line has the exact same electrical properties as the "High Loss" example, except the frequency is 5 MHz instead of 1 MHz.  Be careful:  both lines are 4 wavelengths in total distance, so the 5 MHz example is actually 5 times shorter than the 1 MHz example.  Their actual loss in terms of dB/m is very similar.  In reality, the 5 MHz example would have even more loss per meter than the 1 MHz example because of increased resistive losses at higher frequencies for realistic conductors.
  • At higher frequencies, the electrical current clings to the surface of the conductor, thereby raising the resistance, R.  Do you remember what this is called from class?

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