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# PP04 - Texas State University-San Marcos Ingram School of...

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Unformatted text preview: Texas State University-San Marcos Ingram School of Engineering EE3340: Fields and Waves gum-(w Practice Problem 4: Shunt Stub Matching With Smith Chart 1. In this problem you will design a shunt-stub matching network to match a load impedance ZL = 20 - j 10 Q to the characteristic (normalizing) impedance Z, = 50 S2. Recall that shunt-stub matching requires you to use an admittance Smith chart, which uses a normalizing admittance in this case of Y0 = 1/20 = 20 1118. To help you in the procedure, here is a sketch on a Smith chart of roughly where you will start (point A), where you will be after you add a length l, of 50—52 transmission line, and where you need to end up (point C) after connecting a shunt stub of the proper type and length in parallel with the line. Also shown is the circuit you will end up with. The shunt stub has a question mark at its end, meaning that you need to decide whether to use a shorted or open stub. Use the type that requires the shortest stub length 12. When you are done, you should specify the line lengths l, and 12 (in fractions of a wavelength A) and whether the stub is open- or short-circuited at the far end. Use the Smith chart on the other side of the page for your work, and show your calculations below. . . 0-’ 0 . (D, Conve'i 2L *0 wornaltlel :(k'. NOTH'L(‘BC‘ "EL: Li: Off-JULIE. SO ~——\_______— Reﬂect {—kwu’k Ceutcr (qua-l rb‘\;‘jorr05|.\'c (It‘v‘cf£¢n> toch XL; 2+‘! | Q Q. Rot-Mo V‘mlius o€ ® CW (hwowl Team'ro : 0,qu #wowlcai) H, 7“ +0 y:( Ctlwclc TM: lenfek ,Ql : " 0.2.Btl I: OJISL T,Q (9‘ fax?“ {5 l+JL :(-—J I , A noJah‘vz OAW\.-ﬂaucc [3 "W‘Lutt‘be % The wen-tau Nuts: Hm pin Mt Mm'rtwcv «awed A... [cells thluch‘vt chain-Ma on (333} Sim-\$9"? U~>e a WCVV» all Hdﬁce . GD- Swfhzﬂ’ 0* elfe o4 Chis" “l A50 (0?“ Stub bso) Niel-o (—W u—M'L mm +Jb= « a» wow —> a: (5), 9M; 1,: on“) 2,; om; (o‘aonSl’WU \ Y'M- PM!) .‘f éoLuTtoN mith Chart Black Magic Design The Complete 5 0.115; (ouev sc‘le) W W ,_\ .. 1. 4 5 10.. 050.4 03020.10 ... .1.... 3 15 MI... 1.6 1.82 .".'.'.. '13 1.4 15 15 1.7 18 1.91 03 1.2 13 14 0.4 0.6 0.8 1 ‘ .'...'..H 11 0.1 0.2 ‘ .‘ r' .' . .’. . 10 1.2 1,1 l 15 20 30 0 2 18 1.6 1.4 6 5 4 3 9 10 12 14 .l.:l.'. .v. . 0.7 w” HM .... 10.9080] 0‘ 9% '3‘! 1 “*2 0.6 . 0.7 . 0.8 .... 0.9 . . A ...
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PP04 - Texas State University-San Marcos Ingram School of...

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