solutions+first+exam+ece+3025d+fall+2005

Solutions first exam - ECE 3025 Electromagnetics School of Electrical and Computer Engineering Georgia Institute of Technologr Professor Marquis de

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Unformatted text preview: ECE 3025: Electromagnetics School of Electrical and Computer Engineering _ Georgia Institute of Technologr Professor Marquis de Sade Hunt Name: g 55 b Total # of Points: 94113 ' ' This test is closed book, closed notes but you are allowed to have the front and back of one 3"x5“ 0 index cad. You are not allowed to have a caleulfior. Show yew work where appropriate. Short Answer: l.(20pts) You are inventing the most entertaining bug zapper ever to hit the market. Here is some of your starting infomation: a) Most bugs, at least the ones you like to see perish, are phototmpie, i.e. they are draw to light. 13) You need a strong DC electric field to kill, and hopefully vaporize, the bugs. C) Bubha plans to have his Momma and Daddy’s people over (yes, they are the same people), suspend the bug zapper from a tree branch and sit around it, (360°) so that all can. enjoy the carnage. Expiam how yea would design the bog zapper, includiag electrode material choices, geometrical configuration and how you would generate the electric field. Sketch your design. What coordinate system would you use to compute the electric field? (5 point bonus) Bubba kind of likes Bubba Jr. and does not want him to get shocked when he, like the bugs, is drawn towards the light. How would you accomplish this? (Additional 5 point bonus) Here is where your product distinguishes itself. Bubba likes to hear the bugs scream but can’t hear them so good since he spent 2 hours screaming at the Dixie Chicks that they were un-Ametican dwlog a Bohbapalooza Comma/Western music festival. How would you accomplish this? Exam #1 September 20, 2005 l I é’jef! u affiflly'u’61 f1 mle we 4 Ac , mm” at. 5‘1 4 ‘i a K [/r ’14.“; ‘(1 [has e PJI/ {:99 Ir !( ( Miami! , afghan , (“40/ ,§ 65!: (05% $9” 7 e 0“ av" (rm ‘ w: [iii/:21! h 317ml! “[11 slow. III I ' y jfiulz mfua’voa 7 1 go ‘1‘:ij 3r{1€{ e Gob/(f rails-rif‘vtt-a’ IO (1"qu ‘ Jam .1 Malt/AM '1 /*£flft...79‘rff"3$ 2. What coordinate system would you use for each of the following/problems (3 pts cosh) / / 7; . Apointchargebetweentwo mlflplms/M ,5”, H/(m/a cm} a. r f e U ‘Cr"‘}¢ g ’4 b. Coaxial cable C 4 I 51 (4,5 ‘rg I" i” c. Apointchazge 5” Lu?” z“. I ' r c {AW-v7? d. Squished coaxial ciger suchthat e cross s‘o ofth inner and tore doctors are concentricelfipses ‘ Com? 1;: e if iro {a or ii" 4 (’1 e. Aparabolicloudspeaker In it t / hm; e’ ,1, > V 3. 5 ts Usin Gauss’s lawindifi'erential form, show What the units of displ ent are. (p) :76 ' : amt} = 12:71:33 ‘Efarl:>1:37 : ff!— £1 J92: 3/5 ' g.‘ 4. (5 ptsmoes the divergence f a vector give youascalar .avector?fxpla§youranswer. Olin; gr~ I"! )1 a 0% M3 9!! 5.(5pts) A pair of coaxial metal cylinders are charged such that the inner cylinder has a charge +Q on it anti the outer cylinder hasacharge of —Q. What will be the field outside the outside cylinder? Explain your answer. gig/d 'éé’z/fzggp [50 p ‘3) 1‘ ‘7'7" ~/ _,-, 'XB/ 7“}4 8 0.4””an MC 5M7” [Qgflq/gjfi/ {Wm #12, (4&7? 51 Zé/QJ 5" ‘3 :5 0’ Zia/a 6. (Spts) Write down the equation which relates the potential to the electric field. Describe the potential in terms of work. ‘ I, / fl/ // Cf H’ ,1 / I, )1: A; ((0 4M(/// 74 Move Cl’la‘ygvfilcww 62, (fit / of}; I l I A ‘5 / fl WNW“! '4 C(Aavjc W Problems: Show your work. You will receive little or no credit if you simply write down an answer-«even if that answer happens ta be correct. You will receive far more partial credit by showing your work, even if you come up with the wrong answer. 7.(24pts)Let there be a volume charge density, py = {59% C/m3. a)(8 pts)? ind the total charge present in all space: b)(8 pts)Find the change present in the cone described byO s r< 1,0 5 8 < g, 0 s q: < 27: e)(8 pts)Find the displacement, 3 , at r a: 23.. Show the full vector form. : ~ A (iefi‘r/if’l/fgjajsfngfé W ; J Y“ (3/,qu ~ «90 ~(/1 [Lg/x ’o/K’g * fie” eAYWLé - 6 -. \ A? I (“Tr/3" 14"-“:‘117/ g) Q: Mix/W ygmegayw L‘Jfl's Mew-T “‘91 or WI/(Y‘é‘ ,. l“; -«mosowm «‘1 f ') flfl i‘éosfi/fifl/Lf e N,“- gz; / CX ‘: r: far 2:: , I‘ 2 fix J/l _ a REAR/{(1182, : 4’“ ‘S‘ 6 fr Lita/K) "e w ®{~ ([4": )3 (D: a» 8.(20pts) Two unime infinite sheets of charge are managed such that one lies in the xz-plane and; another in the yz-plane. The xz-plane sheet has a surface charge density ofpm and the yz plane sheet has a surface charge density of no” a(5 pts). Sketch this configuration. we pts) Find expression for 1'? at P(4,-1,4). c.(10 pts) ‘ Find and expression for 75’ at P(— 4, 1 ,- 4). 2.7; > ...
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This note was uploaded on 12/22/2011 for the course ECE 3025 taught by Professor Citrin during the Fall '08 term at Georgia Institute of Technology.

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Solutions first exam - ECE 3025 Electromagnetics School of Electrical and Computer Engineering Georgia Institute of Technologr Professor Marquis de

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