This circle is known as the constant VSWR circle. Since all points on the dotted black circle have the same they must also have the same S. Z (A ) Z0 Hon Tat Hui 2 Transmission Lines Smith Chart Impedance Matching EE2011 The last two equations of r and x define two families of circles in the complex plane of reflection coefficient r 0 (short) r 0 0 re 1 0 0 1 re (open) 1 The Smith char is the superposition of these two families of circles together in the complex plane of reflection coefficient Hon Tat Hui 4 Transmission Lines Smith Chart Impedance Matching EE2011 The Smith Chart Hon Tat Hui 5 Transmission Lines Smith Chart Impedance Matching EE2011 When the angle of is zero, is real and Then, But when the angle of is zero, Thus, the value of S is same as r when the angle of is zero and can be read out directly from the Smith chart noting the r value (S r). Hon Tat Hui 1 Transmission Lines Smith Chart Impedance Matching Recall that: EE2011 Z (A ) Z 0 (A ) Z (A ) Z 0 1 (A ) Z (A ) Z 0 1 (A ) Now normalize the impedance Z0.
It is also a useful tool in impedance matching circuit design. Smith chart is convenient for transmission line and circuit calculations. It is a graph showing both the normalized impedance and the reflection coefficient. Aperçu du texte EE2011 Transmission Lines Smith Chart Impedance Matching 1 Smith Chart Smith chart is a graphical plot of the normalized resistance and reactance functions in the complex plane.
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