Chapter2_Notes

The denition of the reection coecient at the load

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Unformatted text preview: 1. 2. 0. 0. 18 0. 3 50 2 OR 31 0.4 , 0. 3 0 3. 6 0. 2 0. 40 8 0. 0 4. 1. 0 5.0 0.2 8 0. 0. 6 10 0.1 0.4 20 50 20 0.4 A 10 0.1 6 0. 8 0. 1. 0 0.2 5.0 0 B 1. 0 4. 8 0. 3 0. 6 0. 3. 0 -4 0 0.4 CO MP ON EN T (jX / 0 2. 8 1. 6 6 1. 1.2 1.4 0.35 0.15 CAPA CIT IVE 0.36 0.14 -80 1.0 34 -70 0.9 0. 16 -90 0.12 0.13 0.38 0.37 0.8 0. REA CT AN CE 0.39 0.11 -100 0.7 33 0. 7 1 0 0. -6 0.2 0. 32 5 18 0. 0 -5 0. 0. 31 0. 19 0. -110 0.4 0.1 9 0. 0 0. 42 -1 0.0 20 8 0. 43 0. -1 07 30 0. 41 Figure 2-23 0.287 λ 0. 3 0. 2 4 0. 29 0. 21 -3 0 0.49 0.48 AD <— RD LO 0.47 S TOWA -170 TH ENG 46 VEL -160 0. WA Yo) <— -jB/ E( 45 50 ANC 0. 5 -1 EPT 0 SC 0. SU E IV 44 CT 0. 06 140 DU IN 0. OR , ) Zo 50 20 10 5.0 4.0 3.0 2.0 1.6 1.4 1.2 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.2 50 RESISTANCE COMPONENT (R/Zo), OR CONDUCTANCE COMPONENT (G/Yo) 0.2 0. 0.25 0.26 0.24 0.27 0.23 0.25 0.24 0.26 0.28 0.23 0.27 LECTION COEFFICIENT IN 0.22 DEGR F REF 0.22 EES LE O ANG 0.28 -20 20 0 1. 1.8 4 0. 0. 3 SWR Circle 21 0. 29 0. 30 0.1 0. 1 0. 7 33 0. 0.0 180 60 5 VE TI CI PA CA 0. 16 0. 34 0.2 19 0.0 0.15 0.35 1.2 0.8 0.9 1.0 90 0. 43 0. 0 13 0.14 0.36 80 0.37 0.38 ) B/Yo (+j 0. 07 —> WAVE LENGT HS T 0.49 OWA RD 0.48 GEN 170 0.47 ERAT OR 160 —> 0. INDUC 46 TIVE 0. REA 15 0 CTA 0 0. 5 NC 45 E CO 0. MP ON 06 14 0 EN 0 .4 T 4 (+ jX /Z o) 0. CE TAN EP SC SU 0.13 0.12 0.11 0.39 100 0.1 0.4 110 0.7 09 0. 41 0. 08 0. 2 4 0 0. 12 100 0.100 λ 0.387 λ Figure 26: Reflection coeff. and impedance changes on transmission line. Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. Electromagnetics I: Transmission lines 101 • Procedure for finding Zin : 1. Find the load impedance ZL on Smith chart 2. Draw a line from origin to ZL point and extend it pass the edge of Smith chart 3. Read off the starting l1 4. If not given already, calculate the electrical length el of the transmission line, i.e length expressed in terms of wavelength λ. 5. Using compass draw a const. Γ aka const. SWR circle through ZL point. 6. Add electrical length to the starting length l2 = l1 + el 7. Locate l2 on Smith chart and draw a line from origin through it 8. The intersection of this line and const. Γ circle gives impedance at the input of the transmission line Zin . Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. Electromagnetics I: Transmission lines • Points on the circle between pts A and B on Fig. impedances along the transmission line. 102 26 give • One other special point: intersection of constant Γ circle with the real axis to the right of origin (r > 1) gives the value of SWR. The same point is where standing voltage wave have a maximum. The other intersection point is where standing wave has a minimum. Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. Electromagnetics I: Transmission lines 0.13 0.15 0.35 1.2 1.0 90 70 16 34 0. 0. 1 0. 7 33 8 6 1. 6 60 5 0. 2. 0 1. 0.2 0. 18 0. 3 50 2 OR 31 0. 19 VE...
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This note was uploaded on 09/25/2013 for the course ECE 331 taught by Professor Martinsiderious during the Fall '12 term at Portland State.

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