Features of the lossless line


Q/ In addition to not dissipating power, a lossless line has two important features:
(I) It is dispersion less (u_p is independent of frequency); and (2) its characteristic impedance Z_o 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.
α =R' √(C'/L')=√(R' G')
β =ω√(L^' C^')
Z_0=√(L^'/C^' )

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Electrical Engineering: Features of the lossless line
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