To make the Smith Chart more general and independent of the characteristic impedance Z0 of the transmission line, we will normalize the load impedance ZL by Z0 for all future plots:Įquation doesn't affect the reflection coefficient tow. It is just a convention that is used everywhere. Now, suppose we have the normalized load impedance given by: Constant Resistance Circlesįor a given normalized load impedance zL, we can determine and plot it on the Smith Chart. and any possible value for Y that you could think of, what is the resulting curve? The answer is shown in Figure 1: What would the curve corresponding to equation look like if we plotted it on the Smith Chart for all values of Y? That is, if we plotted z1 = 1 + 0*i, and z1 = 1 + 10*i, z1 = 1 - 5*i, z1 = 1. In Figure 1, the outer blue ring represents the boundary of the smith chart. The black curve is a constant resistance circle: this is where all values of z1 = 1 + i*Y will lie on. ![]() ![]() Several points are plotted along this curve, z1 = 1, z1 = 1 + i*2, and zL = 1 - i*4. ![]() Suppose we want to know what the curve z2 = 0.3 + i*Y looks like on the Smith Chart. In Figure 2, the black ring represents the set of all impedances where the real part of z2 equals 0.3.
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