Question

Use the Smith chart to find the following quantities for the transmission line circuit shown in the accompanying figure: (a) The SWR on the line. (b) The reflection coefficient at the load. (c) The load admittance. (d) The input impedance of the line. (e) The distance from the load to the first voltage minimum.

(f) the distance from the load to the first voltage maximum

Answer 1

The Smith Chart:-

dimax 021 917 021 567TTTTTTTTT20 I say 16 H- 10 TO LLLLL ANG 0 ro 0 0.17 LO to 0 950 0.16 07 0:47 TTTTTTTT F with Hộr Elo + - LLLLLLLL + -+-+- 210 Tahu LLLL - unap " T 005 , "1" T 1 " 0. 0 44 Oct "0 L ENGTHS TUVARD LOAD 776 -- - 0.49

Zo Answer:- 21 = (60+350) 2,20 = 50r Normalised load impedance : Ş îi = 60+350 50 = (1-2 +j1) Taking the distance from center to'zi we can find re and swr from the bodtom measured. a) Swr of the line 22:45 6) Reflection coefficient at load Trollrel=0.42 154.2. c) load admitance Ye Y = .00.493-30.406) => normalised load admitance :44=.69.8 – 18.12)x10o d) input impedance load is at ^(-0.1144 length of line =0.41 i input impedance at • (0.174+0.4)2=0.5741 normalised input = Ein= (0.48+30.4) impedance zin = 50x?in +(24+ : 2011 Zin = 31.24 839.85

e) Distance of first voltage minimum d': 0.259+ (0.252-) d' = 0.3267 F) distance of first voltage maximum d=(0.252.-0.1749). TETAPT135 d = 0.0767