12/27/2023 0 Comments Shunt line with smith chartOn the constant SWR circle, move a distance of 0.3 λ toward generator, WTG, to point B, read normalize impedance and multiply by Z o. Γ L = 0.59.Įxtent the line connecting the center of the chart and the normalized impedance point to the Γ angle scale to read the angle of reflection coefficient angle = ∠104°. Project the SWR circle on the Γ scale to find the magnitude of the reflection coefficient at the load. Locate the normalized load impedance on the Smith chart, point A, draw the constant SWR circle, with center at the origin. This is because a λ/2 distance change corresponds to 4 π ⋅ = 2 π which is 360°. Both scales are provided along the perimeter of a circle located outside the phase angle scale with the "TOWARD GENERATOR (WTG)" scale marked on the outer side of the circle and the "TOWARD LOAD (WTL)" scale marked on the inner side of the circle.īoth scales carry tick marks from 0 to 0.5 in a full circle, 360°. One of these scales increases counterclockwise to enable tracking "increasing z" locations as we move toward the load, while the other scale increases clockwise for tracking "decreasing z" locations (increasing d) toward the source (generator). The normalized distance scales provide direct calibration of the quantity. One can use the phase angle scale to enter these rotations on the chart, however, two normalized distance scales are given to facilitate this process without multiplying the 4 π by the. If z 2 > z 1, the change is an increase in the angle and hence a counterclockwise rotation, and for z 2 < z 1, the rotation is clockwise. | Γ ( z 2 ) | = | Γ ( z 1 ) | e + 2 α ( z 2 − z 1 ) and ∠ Γ ( z 2 ) = ∠ Γ ( z 1 ) + 4 π ⋅ Ĭonsequently, moving on the line from z 1 to z 2 implies a change of the angle of the phasor (rotation) by 4 π ⋅.
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