figs03

# figs03 - FIGURES FOR CHAPTER 3 90 120 0.8 0.6 0.4 60 0 =...

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F IGURES FOR C HAPTER 3 Figure 3-1 Complex -plane and various locations of . 0 30 60 90 120 150 180 210 240 270 300 330 0.8 0.6 0.4 0.2 Γ 0 = –1 Γ 0 = 0 Γ 0 = +1 0 | Γ 0 Γ 0 = 0.83 34 ° Γ 0 = 0.54 221 ° ΓΓ 0

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Figure 3-2 Parametric representation of the normalized resistance r in the complex -plane. r = 0 r = 1/3 r = 1 r = 3 r 0 1/3 1 3 Γ r Γ i i +1 –1 0 +1 –1 +1/2 –1/2 x z -plane Γ -plane Constant resistance lines ( = const) r Γ
Figure 3-3 Parametric representation of the normalized reactance x in the complex -plane. r 0 1/3 1 3 Γ r Γ i +1 –1 0 +1 –1 x zr -plane ( > 0) Γ -plane Constant reactance lines ( = const) x x = 0 x = –1/3 x = +1 x = –1 x = +3 x = –3 x = +1/3 –1/3 –1 –3 Γ

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Figure 3-4 Smith Chart representation by combining r and x circles for . r = 1/3 r = 1 r =3 r 1/3 13 Γ r Γ i x z -plane Γ -plane 0 1/3 1 3 x = 0 x = –1/3 x = +1 x = –1 x = +3 x = –3 x = +1/3 –1/3 –1 –3 r = 0 z = r + j x Γ = rj x +– 1 x ++ 1 T o w a d G e n ra t Γ 1
Figure 3-5 Usage of the Smith Chart to determine the input impedance for Example 3-3. 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.2 1.4 1.6 1.8 2.0 3.0 4.0 5.0 10 20 50 -20 30 -30 40 -40 -50 60 -60 70 -70 80 -80 90 -90 100 -100 110 -110 120 -120 130 -130 140 -140 150 -150 160 -160 170 -170 180 0.04 0.05 0.06 0.07 0.08 0.09 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29 0.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.41 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.0 RESISTANCE COMPONENT (R/Zo) I N D U C T V E R A CT O M P ( + jX /Z o ) > W L G H S < TH CO - / Z F ON IN | |=0.6325 Γ 0 | |=0.6325 Γ in 71.56 ° -120.43 ° r =0.3 x =-0.53 z 192 ° z L x =1.2 r =0.6

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Figure 3-6 SWR circles for various reﬂection coefﬁcients. 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.2 1.4 1.6 1.8 2.0 3.0 4.0 5.0 10 20 50 -20 30 -30 40 -40 -50 60 -60 70 -70 80 -80 90 -90 100 -100 110 -110 120 -120 130 -130 140 -140 150 -150 160 -160 170 -170 180 /22002200 0.04 0.05 0.06 0.07 0.08 0.09 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29 0.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.41 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.0 RESISTANCE COMPONENT (R/Zo) I N D U C T V E R A CT O M P ( + jX /Z o ) > W L G H S < TH CO - / Z F ON IN z L =1.5 + j 0.5 SWR = 1.77 SWR = 5.05 z L =0.2 – j 0.1 z L = 0.97 SWR = 1.03
Figure 3-7 Creating capacitive and inductive impedances via an open-circuit transmission line. 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.2 1.4 1.6 1.8 2.0 3.0 4.0 5.0 10 20 50 -20 30 -30 40 -40 -50 60 -60 70 -70 80 -80 90 -90 100 -100 110 -110 120 -120 130 -130 140 -140 150 -150 160 -160 170 -170 180 ± 0.04 0.05 0.06 0.07 0.08 0.09 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29 0.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.41 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.0 RESISTANCE COMPONENT (R/Zo) I N D U C T V E R A CT O M P ( + jX /Z o ) > W L G H S < TH CO - / Z F ON IN d 2 = 0.426 λ 1 = 0.172 x C = 0.53 x L = 2 Open Circuit L = 5.3 nH C = 2 pF

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Figure 3-8 Creating capacitive and inductive impedances via a short-circuit transmission line. 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.2 1.4 1.6 1.8 2.0 3.0 4.0 5.0 10 20 50 -20 30 -30 40 -40 -50 60 -60 70 -70 80 -80 90 -90 100 -100 110 -110 120 -120 130 -130 140 -140 150 -150 160 -160 170 -170 180 ± 0.04 0.05 0.06 0.07 0.08 0.09 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29 0.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.41 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.0 RESISTANCE COMPONENT (R/Zo) I N D U C T V E R A CT O M P ( + jX /Z o ) > W
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## This note was uploaded on 01/31/2012 for the course EE 4002 taught by Professor Scalzo during the Fall '06 term at LSU.

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figs03 - FIGURES FOR CHAPTER 3 90 120 0.8 0.6 0.4 60 0 =...

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