8/3/2023 0 Comments Smith chart impedance matching![]() ![]() The relative position of a point on the transmission line can be determined by extending the radius of the point to intersect one of these two scales and reading its value in λ. Thus, point A reads 0.088λ toward generator (TG). If the radius of point A is projected onto the reflection coefficient, E orI, scale at the bottom of the chart, the measurement is |Γ L| = 0.45. The angle of Γ L is measured using the corresponding angle of reflection coefficient scale on the periphery of the unit circle as 116.5°. ![]() The input terminal is at a distance of 0.333λ TG from the load, located at 0.088λ. ![]() Thus, the position of the input terminal is at 0.088 + 0.333 = 0.421λ TG. Since |Γ| is constant for a lossless transmission line, the reflection coefficient at the input, denoted by point B on the 0.421λ TG radial line, has the same radius as point A (= 0. Thus, we obtain the input reflection coefficient Γ in = 0.45∠-123°. The normalized impedance at point B is read as 0.47 − j0.44, which, after denormalization (multiplication by 50), yields (23.5 − j22) Ω.įigure 1.13.įor convenience, |Γ| = 0.45 circle is drawn in Figure 4.13 and allows the determination of the reflection coefficient at any point along the line. ![]()
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