#SMITH CHART IMPEDANCE GENERATOR#

Because:( ) ( ) ( )Р”Р„ny point reflected through the centre point converts an impedance to an admittance and vice versa.Р”В«ottom Half: capacitive reactance, XC = 1/CorР”В®xample 2Use Smith chart to find the input impedance Zin looking at the input of a transmission line. Note also that a complete turn around the Smithchart corresponds to a total length of /2.

#SMITH CHART IMPEDANCE GENERATOR#

Two scales on the periphery (in wavelengths):-Wavelengths towards generator (WTG scale),Р”В¬lockwise sense-Wavelengths towards load (WTL scale), Some Smith charts have a number of scales at the bottom of the chart for measuring the reflection coefficient magnitude and others. Several scales around the outside of the Smith chart are used to determine the distance along the line. All the points on this circle has the same S and same ||. This circle is also known as the constant VSWR circle. Hence, can be obtained from L by moving clockwise along a constant circle on the Smith chart with a radius |L| through an angle -2k which is equivalent to / wavelengths measured towards the generator on the periphery of the Smith chart. This circle is known as the constant VSWR circle.Р”Р„ll points on this circle have a S = r =3Р”В®xample 1Plot the following impedances on to the Smith chart. Since all points on the dotted black circle have the same ||, they must also have the same S. 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 by noting the r value (S = r). When the angle of is zero, is real and =||. Р”Р„ point in the Smith chart gives the values of the normalized impedance z and the complex reflection coefficient at the same point on a transmission line. The Smith char is the superposition of these two families of circles together in the complex plane of reflection coefficient. The last two equations of r and x define two families of circles in the complex plane of reflection coefficient. In terms of the normalized impedance z (drop the dependence), we can write: 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. Smith chart is a graphical plot of the normalized resistance and reactance functions in the complex reflection-coefficient plane. Transmission Lines Smith Chart & Impedance Matching Hon Tat Hui Transmission Lines Smith Chart & Impedance Matching

Smith chart impedance