Consider a wave that is traveling in the positive z direction, which is incident on a junction with another transmission line. The wave is on transmission line 1 in the region z < 0, with characteristic impedance Z01, and to the right of the junction (z > 0) is transmission line 2 with characteristic impedance Z02. Assume for simplicity that the incident voltage wave has a voltage of 1.0 [V]. Solve for the reflected and transmitted voltages and currents on both sides of the junction. From this, show that the total current is continuous at the junction. Also show that the total power flowing in the z direction is the same on either side of the junction. Recall that the voltage transmission coefficient is related to the voltage reflection coefficient by T= 1+1Γ .
Note that the total voltage and current on the left line (line 1) are found from summing the
voltage and current for the incident and reflected waves, while the total voltage and current on
the right line (line 2) are those of the transmitted wave.
Also, note that power is given by
p(t) = v(t) i(t),
where v and i are the total voltage and current in the time domain.