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Smith chart black magic
Smith chart black magic










smith chart black magic

These could be admittance as well as impedance. The Smith chart is just a plot of complex numbers.

smith chart black magic

Once around the circle is a line length of l/2.

smith chart black magic

The impedance is represented by a normalized impedance z. It also allows the calculation of the admittance Y = 1/Z of an impedance. The Smith Chart is simply a graphical calculator for computing impedance as a function of re ection coe000ecient z = f(ˆ) More importantly, many problems can be easily visualized with the Smith Chart This visualization leads to a insight about the behavior of transmission lines All the knowledge is coherently and compactly represented by the Smith Chart Why else study the Smith Chart? The Smith Chart The Smith Chart allows easy calculation of the transformation of a complex load impedance through an arbitrary length of transmission line. Excepting cases where circuits with gain are being analyzed, all plotting occurs in the non-negative half-plane, permitting a compact nomogram for plotting and computing. A Smith chart is a conformal mapping of the complex plane to the complex plane such that the non-negative resistance or conductance half-plane is mapped onto a unit circle.












Smith chart black magic