As shown in Fig. 1, a resistor of 20 Ω and a capacitor of 1 pF are connected in series as the load to a 50 Ω lossless transmission line of length l = 20 mm. The phase velocity u on the transmission line equals the speed of light.
a) Calculate the load reflection coefficient using the Smith chart.
b) Calculate the input impedance Zin.
Smith chart
Specifically explain how to find Zin using Smith chart when z = -1.
l = 20 mm
R = 20 Ω
Zo = 50 Ω
C = 1 pF
z = 0
Figure 1: Problem 1