HW2 - a 271' 17/2 11/2 . €29 Prad =/ f Main 9 d6 = Bo2rr/...

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Unformatted text preview: a 271' 17/2 11/2 . €29 Prad =/ f Main 9 d6 = Bo2rr/ 0052 95in 6 d6 0 U 0 2 7T/ :— 271'Bgf (3052 6' d (—- cos 6) 0 2 6033 3 “l ——l 2 Pmd = —2?ng : *ZgrBo = 180 = 10 :> Bo : E D 3 3 fl‘ 1 2 H=—500628=>Wmd _.=§2_ =ECOS2B - fl, Ina-X 'r max N r max 5 . = W 1103 2 = 4.7746 x 10—5 watts/111263 t9 2 0° 211' 1? 9A (exact) =/ / Un cos2 63in6 d9 53¢ o D 2 = 3;: steradians 2 ._ 6’ 83-5151 u = 0.5 = cos? 6}: => 6}; = (2054(05)“2 = 45° 2:» 8;; = 2(45”) = 90° = W2 rads a 2 ‘ 9A (Imus ) = e; : (Tr/2p = 1 2-.- e.qu .cm- (aleqfle‘) approx 4 O ' 4“ 4“ :___._._:~—=fi=7.782dB D0 (exam) 9,; (exact) 21r/ 3 a _ __.__ = = —— 5.093 = 7.0697 Do (approx/Krau-s ) — “A (approx) fi2/4 7r (19,¢) = cos"(6) 0 g 19 g 8/241 g 8 g 28 @unwmqa) = 0.5 = cos”[5°) = [cos(5°)]" = {0.99619)" . 0.5 = (089619)“ logm([}.5) =10g[(0.99619}“] = n10g10(0.99619) = n(—0.00166) —D.30103 = ——0.00166n “(‘91 = 60518134 Z’fmax = 1: 6 = 00 211' NIB «(2 PW = f ] 1118,81) 51:18 89 11¢ = 28 / cos181-34(9) sine d6 0 D U c05182'34{6) 1 271' ~ 2“ h [*0 + 182.34] 2” — 182.34 -— 003445 __ 47rumax _ 47"“) .._ — ._ Prad — 2’” (182.34)_2(182.34) "~364.68 Do D0 = 364.68 = 25.62 dB @Kmus ’ Approximation (2—27): 41 253 41 253 D 1' 1 = l = 412.53 = 26.15 (13 0 918928 (10100) D0 2 412.53 = 26.15 dB Taz' E3 Pereém (2-3013): D N 72,815 _ 72,815 m 72,815 0 — e§d+egd _ 2(10)2 ‘ 200 D0 2 364.075 = 25.61 63 = 364.075 = 25.61 dB 27: 11' .UZSinao‘Umfl=11Prad=/ /Sin46dgd¢:gfi2s El 0 411' 16 D = —._ = _ o gflz Sfl 1.6976 ‘H‘PBW = 74.93” 101 From (2—33a), D0 = ——-——-——(74'93o) _ 0.0027(74930P = 1.68971 1 From (2—33b), D0 F —172.4 +1911/0.818 + 74930 @Computer program See. ufiachmeu't The value of Dg(= 1.6930) is similar to that of (4—91) or 1.643 'rdb1em 2—19(c) Input parameters: The lower bound of theta in degrees = 0 The upper bound of theta in degrees = 180 The 1ower bound of phi in degrees = 0 The upper bound of phi in degrees = 360 Output parameters: Radiated power (watts) = 7.422: D'i rect‘iV'ity (dimension'less) m) Directivity (d3) = 2.28.1 Page 1 Go 2 16 dB => 16 = lfllogm Go(djmensionless) => Go(dim) = 101’6 : 39.81 1" = 100 meters = 10,000 em = 104 cm Prad = eum = (1)1325 = 8 watts f =1,900 MHz =- A = 30 x109/1.9 x 109 = 15.789 cm (a) woifl__L_ 8 arm-2 _ 45004)? b 47: x 108 2 = E x 10-8 = 0.6366 x 10-8 watts/81112 W0 = 0.6366 x 10-8 = 6.366 x 10-9 watts/cm2 Wmax ='Wooo(dim) = 6.366 x 10—99931) = 253.433 >< 10‘9. Wm“ = 253.438 x 10—9 ‘arufatts/crrl2 Dg()\/4 monopole) = 1.643 2 2 . 2 A _ A D0 2 £0.63) : 1.643(15.739) em _ E 47F 40 Am = 32.5933 cm2 P(received) = Wmax Am = (253.433 x 10—9)(32.5933) IP{1‘eceived) = 8.2606 X 10‘5 watts = 32.5938 cm2 ...
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HW2 - a 271' 17/2 11/2 . €29 Prad =/ f Main 9 d6 = Bo2rr/...

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