A long line without losses (the problem on the calculation of the line with distributed parameters)

The text of the task
"Calculate the distribution of effective values of voltage and current along a long line without losses (the parameters L₀=0,35 µh/m, C₀=21 pF/m). The frequency of the transmitted harmonic signal f=0,7 GHz. The operating mode of the line — R_n=2Z_{In the}. The instantaneous current i₂(t)=25sin(2πft+40^O). The line length is λ=18 cm. plot U(y), I(y) and determine the value of the coefficient of traveling wave".

This
L₀=0,35 µh/m;
C₀=21 pF/m;
f=0,7 GHz;
R_n=2Z_{In the};
i₂(t)=25sin(2πft+40^O);
λ=18 cm.

Find cyclic frequency::

Find the line impedance, assuming the wire resistance is zero, and the resistance between the wires is infinite ("without line losses").

Find the constant of propagation:

Then the phase factor is equal to:

We introduce the symbol m:

The distribution of current in the line depending on the distance from the end of the line:

The instantaneous voltage:

The distribution of stress in the line depending on the distance from the end of the line:

Chart is based on the beginning of the line (indicated by the vertical line) to define the minimum and maximum voltage of the mixed wave.
Coefficient of traveling wave is the ratio of the minimum voltage of the mixed wave to its maximum – determined by schedule.
K_b.in.=3270/6540=0,5;