Problem

For a distortionless line with Z0 = 50 Ω, α = 20 (mNp/m), and up = 2.5 × 108(m/s), find th...

For a distortionless line with Z0 = 50 Ω, α = 20 (mNp/m), and up = 2.5 × 108(m/s), find the line parameters and λ at 100 MHz.

In addition to not dissipating power, a lossless line has two important features: (1) it is dispersionless(u/p is independent of frequency); and (2) its characteristic impedance Z0 is purely real. Sometimes, it is not possible to design a transmission line such that R' << ωL' and G' << ωC', but it is possible to choose the dimensions of the line and its material properties so as to satisfy the condition

R'C' = L'G' (distortionless line).

Such a line is called a distortionless line, because despite the fact that it is not lossless, it nonetheless possesses the previously mentioned features of the lossless line. Show that for a distortionless line.

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