If the transmission line is to have neither frequency nor delay distortion, then \(\alpha\) (attenuation constant) and velocity of propagation cannot be functions of frequency.
v = \(\frac{\omega}{\beta}\)
\(\beta\) must be a direct function of frequency to achieve this condition
LG = CR
\(\frac LC\) = \(\frac RG\)
Z0 = \(\sqrt{\frac{R+f\omega L}{G+f\omega C}}\)
For a lossless line, Z0 = \(\sqrt{\frac LC}\)
\(\alpha\) = \(\sqrt{RG}\) = 0 for R = 0, G = 0
\(\beta\) = \(\omega\) \(\sqrt{LC}\)
A loss less line is always a distortion less line
