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The left part of the module screen shows the circuit of a quarter-wavelength transformer inserted into a transmission line. The generator shows a voltage source, V sub g and an impedance, Z sub g, while the load impedance is Z sub L. The parameters of the transmission line are: Z sub 01 equals 50.0 ohms; epsilon sub r sub 1 equals 1.0. The parameters of the quarter-wavelength transformer are: Z sub 02 equals 93.4582 ohms; epsilon sub r sub 2 equals 1.0. The frequency is 1.0 gigahertz, while input impedance is Z sub in equals 50.0 ohms, and load is Z sub L equals 100.0 plus j 80.0 ohms.

A text in the bottom-left part of the screen reads as follows: Step 5 First solution. Move to the input of the transformer. Here the line impedance is matched: Z sub in equals Z sub 01 equals 50.0 ohms. Note that the normalized impedance on the Smith chart is not 1.0 because it is still normalized with Z sub 02.

The right part of the screen shows an interactive Smith chart, with an S W R circle passing through two points located in the upper and lower parts of the chart. The following parameters are indicated below the chart:

(Point in the upper part of the chart)

z sub L equals 2.0 plus j 1.6

gamma sub L equals 0.55494, angle 29.92213 degrees

(Point in the lower part of the chart)

y sub L equals 0.30488 minus j 0.2439

z of d equals 0.535 plus j 0.0

gamma of d equals 0.30293, angle negative 180 degrees

y of d equals 1.86916 plus j 0.0

d equals 0.0 lambda; 2 beta d equals 0.0 rad equals 0.0 degrees

0.5 lambda minus d equals 0.5 lambda; 2 beta (0.5 lambda minus d) equals 6.2832 rad equals 360 degrees