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EE3320 Test 2

# EE3320 Test 2 - I Summer 2003 Name \$045" “" ‘...

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Unformatted text preview: I Summer 2003 Name: \$045" “ " ‘, I” " ' G Signature: BE 3320 100 points Date: Monday, July 14, 2003 Credit will onlv be given if work supports answer. Include units where appropriate and box all numerical answers. 1. (15 pts) Use the chart below to determine the polarization type of the electric field represented by 7' i E = D52 — (2— 4 j)§r]ejBx as it travels through free space. Be sure to explicitly show .how you came to your conclusion. Label the two Cartesian axes on the chart and place an X in the location of the polarization. Assume that the inner dotted circle represents A = 1' and the outer represents A = 5. h the wave re a atin into or out of the a e? This figure pertains to a wave traveling out of the page. 2. (15 pts} In a certain microwave oven a hungry college student is warming a one inch thick steak. His oven has the unique property that the microwave frequency can be raised and lowered with a knob on the front panel. Assume that for the meat 8': 580 , it = no , o =lOS/1n. a. At a microwave frequency of 2 GHz compute the depth at which the power of the EM wave will attenuate to one half of its original value at the surface of the steak. (3 -~* mark “a; r" |r' . b. If the student wishes to increase the epthat..whieh_the power is deposited, which way should he dial the frequency; higher or lowe . xplain your answer. H" . _ ‘ . ) - , . .' 3. (10 pts) An EM wave is normally incident from medium 1 (111 = 1009 ) to medium 2 ( 112 = 3009 ). The magnitude of the incident wave is ELO = 100l%1 . Calculate values for E;Vnd Eim . 0.5 _ / ‘ ~ ~ ‘ , _ r‘ _. f}? .. r1, :3w_,3(. t ; F E. t )mv In Jr“: a 1/! ___,,_._._-—H‘ {r0 '3'”) f ; CC) C- K"? {ly-fflf WHO! (1/ f ‘ l}? g 1 ‘l E: V J ’- C} S VDr. — l- f!() (a — 5” «L7. r I/r } 'x- ' _ . _ ' “L” “1.5.23. l. 5 // il§ “ t’ if? 4 4. (20 pts) You are the commanding officer aboard a naval nuclear submarine cruising at a depth of exactly 100m below the surface of the ocean. Central Command is in the process of trying to send you the following message: “SURFACE”. To do so they are sending a coded electromagnetic signal at 45 Hz. The power density of the signal upon vertically entering the water is (LillyT12 . Assuming that your communication equipment has a minimum signal detection limit of 111W%12 , o: 4%, and SR : 79 , perform a calculation to determine whether you will a. receive the message from Central Command, get promoted, and save the world from certain destruction, or ' b. not receive the message and be doomed to roam the seas in blissful ignorance- (7..-. n L I ' I, . ' / ' .. ‘1; ‘ - I? ’< "3"},00695371' ‘r'1 U }' d Ff ’_ / S. (10 pts) When we speak of a linearly polarized EM wave having an oblique incidence angle at a boundary we can describe parallel-polarized and perpendicular-polarized waves. Explain exactly what is parallelfperpendicular to what. Ira/ﬂ -‘ A / -,-. 1%,: r " hf», r w n l_ I!" ‘,___ d; p , q”, _,-.i. 6. (10 pts) Assuming that Aluminum is a highly conducting medium, calculate the phase velocity of an EM wave traveling in aluminum at a frequency of 2.0 M l ‘ri' (ZN: if} CHM" VINTS’J We 7:3. 7. (10 pts) At an instant in time the magnitude of the normal-component of a time—varying electric ﬁeld on the surface of a perfect conductor is equal to 5% . The conductor is immersed in water (ER = 79 ). Calculate the surface charge density on the conductor at this time? T - ‘ ' . ' . s. (10 pts) An EM wave is incident at an angle 9i =17° from air onto the boundary o”f"a“""per'f'e25£ dielectric that has a pemlittivity of 480 . Calculate the angle of reﬂection and the angle of transmission. . J ...
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EE3320 Test 2 - I Summer 2003 Name \$045" “" ‘...

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