Fortunately, there’s a very easy way to analyze complex loads using graphical methods and it’s called the Smith Chart. Even so, the math gets tedious in a hurry. Once around the circle is a line length of l/2. 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 can be used to simultaneously display multiple parameters including impedances, admittances, reflection coefficients, S n n. Complex imaginary number math is the routine way to analyze the SWR of complex loads and can be done if you have access to a calculator or computer program that will handle it. The Smith Chart The Smith Chart allows easy calculation of the transformation of a complex load impedance through an arbitrary length of transmission line. It was independently devised by Tōsaku Mizuhashi ( 水橋東作) in 1937, and by Amiel R. The Smith chart (sometimes also called Smith diagram, Mizuhashi chart ( 水橋チャート), Mizuhashi–Smith chart ( 水橋スミスチャート), Volpert–Smith chart ( Диаграмма Вольперта-Смита) or Mizuhashi–Volpert–Smith chart), is a graphical calculator or nomogram designed for electrical and electronics engineers specializing in radio frequency (RF) engineering to assist in solving problems with transmission lines and matching circuits. For other uses of the term Smith diagram, see Smith diagram (disambiguation).
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