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quiz2_solution[1] - Name I H Student Number ELEC3909 Quiz 2...

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Unformatted text preview: Name: I H Student Number: ELEC3909 Quiz 2 May 21, 2009 I. A circularly polarized TEM plane wave propagating in a good conductor has electric and magnetic field components given by E— (1 8;}!2, 0)Efl ejiat-zfd'}e vsz' and H: (“91“4,8~Iw” ’0) ldfwau efifl‘dfie —:1’6 (a) Show the relative orientation of the E and H vectors at 1:0, z=0 on the axes below. 1 mark at t-‘O 2- O H‘/ Ti ‘5 E::l( lie") )ID)ED__ o halE A E“ - Bait l1 QJWIJWJ Ev — (£90 0) 4S -_-_*- ----—-“—?X& H: ( 6517/46 {Wt 0) 07111152 YMlH Ht“ (-4; 2.: {)0) JUNE“ (b) Find an expression for the time-average Poynting vector 3.1. for this wave. 5 marks ‘iLfle 3! E X H 1‘} A E XH : X . U Q . ‘ ~ . . "t- .. Ea 61M 23/;1 Q 8/; 611% 5630-) 2/08 2A: 0 - r e-jt'ut -2,g -Z/.c If/nu cart Us) in“ ~19.me Eat). )9 8‘] W #1011530 2 — .. .— ‘" {0 0 fir/4JF/“Ea €23,er 635”” W} 592%) :10 a 26”“17115Pem) 3:11: ill {EXP—”l :er 0 is “We eta/‘1} ‘: (0,0, £915.13 E, (3'2“) ‘chl : {fflgfie'QE/S (c) Explain briefly why Sm. decreases as 2 increases. What happens to the power lost from the travelling wave? Saw «5. ‘PfoPclttfiial 'to {Mohair 8" 12/3 . I mark A: a 11mm: 8 2 ”9 unit deClQQSQ Se S‘w WC ale/cream, Tia we! log-t from «ck salary man his Leah absentee! 5} flu (Maw m1 dampened as heart. 2. Backcountry skiers in western Canada often carry radio beacons so that they can be located if buried 1n an avalanche The beacons broadcast at a frequency of 45? kHz. At this frequency snow is a lossy dielectric with s,— = 1 5 and ¢= 0 0013. Suppose the beacon transmits a TEM plane wave. What fraction of the power in the wave is lost afier travelling through a 3 meter thickness of snow? 3 marks Halo-$5] ohélem‘c tb‘ojf -. Wfirfloira ” -2U X45? X 1° Mam“? x1; 1 saw” : l-IiX/o2 1m" ‘ 0‘: If: : WW0": X anal/2 : 5% X19 5 11“ Sex OK QHMB --2d2 The. folder reactrb 3m clout.- - a : 0.???‘1‘43 1 :) 0~003§Z we: 15 {est ...
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