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"Jerry" wrote in
: .... As you may already know, the Smith Chart is simply a plot that shows *all* impedances with a real resistance. Smith displays the impedances so the user can quickly see how any given impedance can be adjusted by adding any series or parallel resistances and/or reactances. Series inductance moves the impedance "upward" along the circles of constant Resistance. Shunt inductance will move an impedance along the circles of constant conductance. There are a range of formats for plotting "*all* impedances with a real resistance", and Philip Smith found some of them in his quest for what is now known as the Smith chart. It is not simply a plot of R and X, but in fact a plot of the complex voltage reflection coefficient and it can have R and X scales overlaid (along with a bunch of TL related radial scales), and because of the behaviour of transmission lines, G and B scales. The R, X, G, B scales are a consequence of the plot of the voltage reflection coefficient, an overlay, and not the fundamental quantity plotted. The magic that underlies the Smith chart is the Telegrapher's Equation (or a lossless form for most applications). Owen |
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