![]() ![]() plot() can now interpolate lines between points or generate an equidistant spacing.plot() now also handles also single numbers and purely real data.This article will be dedicated to examples and questions to find out how much you really know about Smith chart and enhance your understanding of this great chart.īut you should learn all Basic Parameters, Equations, and Plots first before continuing reading further here.After 2 years of getting dusty pySmithPlot now got some new features and bug fixes. We’ll work on examples and then ask questions. Now, you have learned all basics of Smith chart and you know the chart is consisted of 3 very basic parameters, \(Γ, z, y\), and they can be converted among each other based on a few sophisticated equations. With any one of these 3 parameters given, you can read the other 2 in the chart simultaneously with a very reasonable accuracy. You don’t need to remember those equations by heart but you should know how to apply them without any difficulty, whenever you need to use it to conveniently solve impedance and reflection issues. If you can follow those 6 examples easily, then you are good to go to answer the questions below, and, once you get them done correctly, you can continue to learn the most exciting application of Smith chart, impedance matching. You’ll learn a unique way of impedance matching using Smith chart, and you will also be directed to where you can get a powerful spreadsheet which will help you get the matching job solved within a fraction of a second with very minimal effort. However, do not force yourself ahead to the next article if you have difficulty to answer the following questions. The Moebius transform that generates the Smith chart provides also a mapping of the complex admittance plane (Y 1 Z or normalized y 1 z) into the same chart: y 1 y 1 Y Y0 Y Y0 1/Z 1/Z0 1Z/Z 1/ 0 Z Z0 Z Z0 z 1 z 1. You should go back to review this article- Basics, Parameters, Equations, and Plots, then come back to practice on this article again.Īfter that, you will be well prepared for learning impedance matching. (6) Using this transformation, the result is the same chart, but mirrored at the centre of. If \(z=1.4 j1.2\), then, read directly from the Smith chart without using equations, what are the approximate values of: Let’s charge ahead to answer these simple questions below. ← Smith Charts-Basics, Parameters, Equations, and Plots.In RF circuit and matching problems sometimes it is more convenient to work with admittances (representing conductances and susceptances) and sometimes it is more convenient to work with impedances (representing resistances and reactances).Visit ABOUT to see what you can learn from this blog.’ ‘Note: This is an article written by an RF engineer who has worked in this field for over 40 years. Solving a typical matching problem will often require several changes between both types of Smith Chart, using normalised impedance for series elements and normalised admittances for parallel elements. ![]() For these a dual (normalised) impedance and admittance Smith Chart may be used. Alternatively, one type may be used and the scaling converted to the other when required. In order to change from normalised impedance to normalised admittance or vice versa, the point representing the value of reflection coefficient under consideration is moved through exactly 180 degrees at the same radius. For example the point P1 in the example representing a reflection coefficient of has a normalised impedance of. To graphically change this to the equivalent normalised admittance point, say Q1, a line is drawn with a ruler from P1 through the Smith Chart centre to Q1, an equal radius in the opposite direction. This is equivalent to moving the point through a circular path of exactly 180 degrees. Reading the value from the Smith Chart for Q1, remembering that the scaling is now in normalised admittance, gives. ![]()
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