2 \(r\) value in the “Start” sheet, Type #1 impedance \(C_p\): normalized admittance of the capacitor in shunt (parallel). Let’s define the matching components first: The admittance of an inductor \(L\) at frequency \(F\) is \(-1/2πFL\).Īll values of \(Z0\) (ohm), \(F\) (MHz), \(r\), and \(x\) are originated from the “Start” sheet as soon as you provide them using anyone of the 4 methods.Īnd you are done with your part, it’s time to find the answers you are looking for. The admittance of a capacitor \(C\) at frequency \(F\) is \(2πFC\). The impedance of an inductor \(L\) at frequency \(F\) is \(2πFL\). The impedance of a capacitor \(C\) at frequency \(F\) is \(-1/2πFC\). Theoretically all these 4 types of impedance can be perfectly matched to 50Ω (or any other values) by using only 2 lumped elements, inductors and capacitors, if not considering the limited component values we are able to get as well as their tolerances. 1 Four types of impedance in the Smith chart Impedance Matching by Using Smith Chart – A Step-by-Step Guide, Part II.īased on the values of r, g, x, and b, we can roughly categorize the impedance into 4 different types:įig. Impedance Matching by Using Smith Chart – A Step-by-Step Guide, Part I. Impedance Matching-Using Lump Elements, Formulas, and Conversions-Part II.
Impedance Matching-Using Lump Elements, Formulas, and Conversions-Part I. Understanding Smith Chart by Learning Examples and Questions. Smith Charts-Basics, Parameters, Equations, and Plots. These articles will greatly help you understand impedance matching and Smith chart: The simplest termination is either a short circuit or an open circuit.In Part I, we have learned how to provide the normalized impedance \(z\) using one of the 4 available methods in the “Start” sheet, and we are ready to see and discuss the results in this article.Īt the end of this article, after you have learned the whole process, you will be provided a link to download this great and unique program. The impedance to be synthesized is reactive so the termination must also be lossless.
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