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# quiz3_solution[1] - Name i A SDI Whoa Student Number...

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Unformatted text preview: Name: i A SDI Whoa Student Number: ELEC3909 Quiz 3 May 28, 2008 1. A TEM plane wave traveliing in the z—direction reﬂects from a perfectly conducting sheet at z = 0. The electric ﬁeld in the resulting standing wave is given in phasor notation by 73’: (—2ane’” sin kz, 0, 0) Using Faraday’s law ﬁnd the magnetic ﬁeld H in the standing wave. 3 marks Farmlg's law 9 E _ LHS Gig: R , _ ‘A ~- 3M k _/‘ .A E37 .53. Fag -0x1-(—)]toe mam; H [email protected]“*5me o 0 -2jE.k€ij»\$k?g assume H’zAHoeMcnzi (zHg 4133-4: —uHo-jwei“’*(ost23 ‘ work 1} ~ get em (ash? \ g — my» await? H. : *mek : 2m , 2E. - 25 .. _ _ #1le TW-‘y‘z. H : Ho ejwtfﬁhﬁ : 22L Qjm (03H? 2. A small aircraft has crashed and sunk to the bottom of a northern lake. The plane’s emergency locator beacon is still broadcasting at a frequency f= 100 MHz. Assume that the beacon is transmitting a TEM plane wave upwards as suggested in Fig. 2.1 The aircraft is at a depth of 10 m. The lake water has conductivity 0 = 10‘2 Sm", permittivity s: = 81.90 and permeability ,u = pg. What fraction of the power transmitted by the beacon would reach a search aircraft flying just above the lake surface? Show your work andjustify any assumptions made. 7 marks Supt: Cluck if 3004 (Mature? or four (onduﬂnr 8w = Big-2t; : 21x33; mowing/99 : 0,4; mt 8-00 >> 0- weai Conduct-or gay); palm attenuahm dunhj Wave pramgaﬂ'on in We Mta’. _ _ , 3?? Zane — EU—Jga— AFT—J: £448?!) 0< 1 #53: M2: 0.)o?4 ["14 E‘ {not warm attenuatadz 1, j e-ae : 9. TIM ‘PGW ammocl b) Edd; : Q‘lKUJO‘H Kin: 00E“) Strp3= Pow barmaid from lake W "to air 4. 1031/0 p; antiwar : M : 3.1:” 1 ml JJ‘OE 392': l9 _ Add“ Paw tyrannical - ( HZ‘) : )— M1: 036 D . air Tl: {mam 0+ pow readhwl tin detector: 3%“ we “”3” Q-2d2 . (F22) / :o‘ortle x03; 2 5.452(10'3-‘0K4éz —*—- Fm. 2.! ...
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