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Test 1 - "begun—.4 A ‘mLJJ-uru jh'fl I l...

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Unformatted text preview: "begun—.4- A ‘mLJJ-uru jh'fl}, I l H " ' ' '— ' "' algualmfi. ‘ *2! III!!! flvwgé I h BE 3320? 100 points Date: Monday, March 31, 2003 Credit will only be given if work sumrts answer. Include units where appropriate and box all numerical answers. I. (20 pts)At the south pole the ice can get extremely thick. If you probe the ice for an object buried 1 kilometer deep with a 1 megahertz radar (EM wave) and assume that you can accurately probe down to only yo of a penetration depth, would your search be successful? Show your reasoning in an explicit mathematical way. Assume a conductivity for the 108 of 10—631 and Sic: =4. 2%, ”ice: no. How would this maximum probe depth change if the frequency 13 increased? Gamma [0’39 MWVH (7 IO ‘° ____fl____fl®_fl Eu) (4Z)(‘Z).-€v‘3£ 121(12an two mace {0629 tangent it 6’ {D'— 8: Zeo(.ooe4a1: 10 a 1m Wt um cam (ml/h) Prom, Viol; * ‘InoUO. B11): \ om m 21.03% U395 fatflqcmi- would) MCI/“U. cf? W01“ \ (90 5M C(tzyl when ‘F’O‘Y 8 “(C1)“d WM (Mam , wax/dd , howoio eotvr. this Ail‘firmm it warm @th wwd $3M ” 2. (5 pts) If m 3 cc ain medium the magnitude of the conduction current density is 1%: and the wind MWC/lflt %dJM31+L/) 1 NM ‘- our—4) wwmx (imam) ' o‘lklm \D'>l 6:0 HM. Mdimis W ”i 0511va ’92“ ml ‘ 1-, o . ' 1.0% WW1” .33 :10 >>I am WW 3 (25 pts) In a certain medium characterized by 3’: 2.530, it: 11,0, and cs=3.5%nL a 1.5 GHz EM wave’s electric field is i = itlZe'mz cos(cot — [32)‘Zn . Find a.) the attenuation constant, 0.: ice-’9 wt: 5' ac; _,___._. ..... 171:3 (c7267 008' (Zfillwfieqkifilfigigéertzl 0510‘} ll where. MW ’7‘}(fi)(teea¥4fi£’ffl 91/1 b. ) the intrinsic impedance magni " elnl , and phase, 4:: l/Z Whale/N - [L $ 4m ((4nm m 3 . 6 9' *ng _tz.9)(%.‘36cvm—‘) ”fwd.“ c.) the time—domain expression for the magnetic field intensity 9f, evaluating terms wherever NW possible: _ r-‘-- A I '_ V aw 1:-xl’ic'“ oosfuot- P2) /m P Zflhgeq) !\ mean ' I” -.- H H, \Zflrr—E- teatime eta-ta) “37;?— 6‘8 3 : 31693 /’ — 3‘11)? 41 [HH : 3/(0 19632,“ 005“ 3‘qu e—@§] 1»me 4 Arno 4 fl“ i, \e'wn’ meme -1LlLl'2: was”) Mr: 7. (20 pts) It is known that the transmitting antenna of an FM radio station is located in the direction perpendicular to a metallic plate, as shown below. The frequency of the signal is 100 MHz. a. At what distance from the plate should a receiving antenna be placed to receive maximum signal? The antenna 15 a dipole that interacts Wlth the B field m an. Rmmg WNW/um Mafia/L IF mine fill/[mm mm i9 i ' D/ W (Pi) =: it a.“ ”/2— WE 3,: {g ; zfi :ZIT'HOOEQ) — zoqm 6’ 0 gig? EiI—p (2.0”!)‘i21 *TT/z Lit—Wurst) : 35;?le KHJ isthe b. If the amplitude of the incident B field is 3% optimum position? 5 = Z Exno (giflF‘lk) ‘-‘~ 2-(20m‘) =- Metallic Plate + (4mm cmdm i plitude of the ttiwaigaf'i'eld at this ...
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