# PP03 - 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 SOLKTtOUS Practice Problem 3: Touring the Smith Chart 1. The following exercise has nothing to do with the use of the Smith chart (see over for a Smith chart you can use for it). But it will give you practice in normalizing impedances and locating them on the chart. The Smith chart is fundamentally a way to graph the reﬂection coefﬁcient 2—20 I‘- . Z+Z0 The characteristic impedance Z, of the transmission line to which the reﬂection coefﬁcient refers, is called the normalizing impedance of the Smith chart. All impedances z shown in the Smith chart on the reverse of this page are normalized. To convert an actual impedance Z into a normalized impedance z, divide by 20: z (normalized) - 0 So if you wish to plot an actual impedance Z = 150 Q on a Smith chart where you have chosen the normalizing impedance 20 to be 50 S2, that impedance corresponds to the point (3+ jO) on the normalized Smith chart. (a) Normalize the following impedances to Z, = 50 9. Then plot each of the ﬁve impedances with a dot on the Smith chart provided. Point number Unnormalized Normalized _ Eﬂﬂmﬂllllﬂlllﬂﬂllll Eﬂﬂﬁllllll Eﬂﬂﬂﬂillll (b) Draw a line along the perimeter of the “R = l” circle whose center is at (3 +j0) and which touches the center of the chart (1 +10) and the right—hand edge (inﬁnity). (0) Draw straight lines from point 1 to each of the other four points. (d) What well—known symbol from the 19608 have you drawn? Pvt-L. ()trok gonad.“ The Complete Smith Chart Black Magic Design - I....lll"ﬂ .- ' EEEEEEé'Eé-aiﬂéﬁﬂ . ANCE a (GIYo 11417141.”er f 1P,» mwm LOAD—> <<— Towm GENERATOR 4635? 3\ ~10040 20 10 5 4 3 7.5 2 13 1.6 1.4 u 1.1 1 15 1o 7 5 4 3 2 1 r 94‘ H'1'1'.s.'.H'.|.'.| “4":U—1‘.l.'.'.'r—Hn—“.LH41J—‘.‘Hum—1H'HH—r—I—H.s—m—;'...' '1: ' r1 ‘5‘ <9 9 0 ~40 30 20 15 10 s 5 5 4 3 2 1 11 1.1 12 13 1.4 113 13 z 3 4 5 10 20 .. ‘0 §\& (60% o 1 2 3 4 5 6 7 s 9 10 12 14 20 30 0 0.1 02 0.4 0.6 0.3 1 15 2 3 4 5 s 10 15- 49’ (9 d5 - '.:.'H—IM—x—¢—H.4H—H—“:'.”” .r—H.:Hey—.11:...'.H...‘..'..: 5‘.'.'.'e+lH‘.'.‘HHHWMHHHnHWmH 0‘";- 41‘ 1 0.9 013 0: 0.6 05 04 03 0.2 01 0.05 0.01 00 1.1 12 13 1.4 15 11s 1: 1.3 1.9 2 25 3 4 5 10.. g ‘x 1 0.9 03 01 0.1 0.99 0.95 0.9 03 0] 05 05 0.4 03 02 0.1 o (9 ..1,,...,., . ...L_L_1_...,.1.... a“. ...
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PP03 - Texas State University-San Marcos Ingram School of...

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