Incase formatting of numerical answers below is weird, please see attached picture of question.
"Consider a distortionless transmission line with impedance 50 Ω, capacitance 0.1
nF/m and attenuation 0.01 dB/m. Find:
(a) the resistance, inductance and conductance of the line
(b) the wave propagation velocity in the line
(c) the relative amplitude of a voltage after it has traveled a distance of 2 km in
[Ans. (a) R = 0.057 Ω/m, L = 2.5 x 10
H/m, G = 2.3 x 10
S/m; (b) v = 2 x 10
2. Relevant equations
Zo = SQRT(L/C)
For distortionless line
R/L = G/C
3. The attempt at a solution
Part b) is easy (from u = 1/Sqrt(LC))
However, I assume Zo = 50 ohms, as it lets me find L = 502*0.1n = 2.5E-7
But then what the devil do they mean in the numerical answer given for R = 0.057ohm/m?
and what is with the conductance G? that isn’t 1/any R value. Is that conductance and R wrong?
More pressingly though, my log is really rusty! this is where I’m most confused, I’ve been messing around with e^-attenuationconstant*distance and a loss = 0.01dB = 20 log(V1/V0) formula but I’m not sure if that’s the right approach as I’m not getting anywhere?
Could anyone offer an opinion and if possible show me how the loss is 10% over 2km?