A lossless radial transmission line with surge impedance loading

A lossless radial transmission line with surge impedance loading

Right Answer is:

Has flat voltage profile and unity power factor at all points along it

SOLUTION

Lossless Line

In a lossless line r = g = 0. Thus we find that

${Z_c} = \sqrt {\frac{z}{y}} = \sqrt {\frac{{jwl}}{{jwc}}} = \sqrt {\frac{L}{C}} $

  • For a flat voltage profile system, all the voltage drop in the line are neglected therefore supply voltage (Vs) is equal to the Receiving end voltage (Vr) i.e Vs = Vr 
  • The characteristic impedance of a lossless transmission line is purely real, with no reactive component.
  • The energy supplied by a source at one end of such a line is transmitted through the line without being dissipated in the line itself.
  • Therefore lossless line terminated with its surge impedance has a Flat Voltage profile and the power factor is unity throughout its length.
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