Lossless line

If we set equal to zero the resistance of the wires R0 and the leakage conductance between the wires g0, then we get a line without losses. (perfect line)
R0 = 0; g0 = 0; α = 0;




Phase speed for a two-wire line
Capacity and inductance of a unit of length of a line:



where r0 is the radius of the wire, d is the distance between the axes of the wires



For overhead lines, ε = 1 and μ = 1; v = c
For cable lines ε> 1; v <c
The currents of the forward and reverse waves coincide in phase with the voltages.

Lossless Line Properties
Long quarter wavelength line



Long half wavelength line: