Lecture 35 - 35 Smith Chart examples.2.5 1 2 r 5 x 5 2...

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Unformatted text preview: 35 Smith Chart examples .2 .5 1 2 r 5 x 5 2 1 .5 .2 x 5 2 1 .5 .2 0.447214, 0.0368959 2. 1. 0.4 0.2 2.61803 SmithChart .2 .5 1 2 r 5 x 5 2 1 .5 .2 x 5 2 1 .5 .2 0.447214, 0.136896 0.600056 0.663401 0.749913 0.829077 2.61803 SmithChart .2 .5 1 2 r 5 x 5 2 1 .5 .2 x 5 2 1 .5 .2 0.361132, 0.176393 0.555603 0.368536 1.24991 0.829077 2.13054 SmithChart Example 1: A load Z L = 100 + j 50 Ω is connected across a TL with Z o = 50 Ω and l = 0 . 4 λ . At the generator end, d = l , the line is shunted by an impedance Z s = 100 Ω . What are the input impedance Z in and admittance Y in of the line, including the shunt connected element. Solution: Normalized load impedance z (0) = Z L Z o = 100 + j 50 50 = 2 + j 1 is entered in the SC shown in the margin on the top. Clockwise rotation (from load toward generator) at fixed | Γ | (red circle) by . 4 λ ⇔ . 8 × 360 ◦ = 288 ◦ takes us to z ( l ) ≈ . 6 + j . 66 and y ( l ) ≈ . 75- j . 83 as shown on the SC in the middle. Hence, including the shunt element with normalized input impedance z si = 2 and admittance y si = 1 2 , we obtain y in = y ( l ) + y si ≈ 1 . 25- j . 83 for the overall normalized input admittance of the shunted line as shown on the SC in the bottom — the corresponding normalized input impedance is z in = 1 y i ≈ . 56 + j . 37 ....
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Lecture 35 - 35 Smith Chart examples.2.5 1 2 r 5 x 5 2...

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