2002_002

# 2002_002 - BB 325 Engineering Electromagnetics Quiz#1 10a W...

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Unformatted text preview: BB 325 Engineering Electromagnetics Quiz #1 October 10, 2002 / 10a W Problem #1. 4"; 3 4:, : (PC TWO POint Charges C1: = .. and q; = ‘ , jare located on the y axis at y = 0 and y = 5 m, respectively. Find the location (on the line connectin where the absolute values of the electric fields produced by the two charges are equal. Comments? g the two charges) 6 ‘ RE 325 1 [5a =SHCJS October 10, 2002 Name Problem #2. Point charges of 6 nC each are located at A(1,0,0), B(O,1,0), C(-1,0,0), and D(O,—1,0) in free space. Assuming a zero reference at infinity: (a) find V at P(0,0,z), and (b) give its maximum value for any 2. O (c) Use the result of part (a) to calculate | dV/ dz 1 on the z axis " ' l J ‘2- . E I - MRI! WM \\\j1 \ 1 \ b 6 : y al 9726‘“ j / x “*5 a ﬁ‘) 00Vng Jr Lkrrzb Wowfwovof emf 9m xvi/0‘0?Y&/)3'*(Z—’l-3)7 “L 4% ‘Jc'iz>w”+/7—“0> + CD / / AME» “V /o +l)° + {p03 9 p y / ’ '\ / “We. (‘"/+2a)+“7/‘€l> ’WZQ Wag/(7%: / +14%; 4;”29/ «- EE 325 October 10, 2002 Z ‘ 15g : E“; Z] Name Problem #3. Two conducting spherical shells have radii of a = 2 cm and b = 5 cm. The interior is a perfect dielectric for which 8R 2 10. (a) Find C. (b) A portion of the dielectric is now removed so that 8R = 1, O < 6 < 1t/ 6, and £R=1O,n/6<6<1:.FindC. ’ Jourﬁce C=472f a) a; ;._L a b 0 m” 69 J, ._, Qcm ‘ SCm / -0! /\ :LIWEO ._ :3.7O 7ch/F so ~ 80 30 agr : oat-547‘” A ‘ ‘1 «Li/uni “4 ‘ uﬁuM \ 3““ 5&5. 2-" ' ' 4.10"?“ I __ 2/6 p yssnwac‘ -u=o gt“ (a: WWW??? - arr-E“ ‘é’ A’aJmo) [/9244] at 5:0 J = 3M (C)\$ :34 (ea/’15 .216 2/ ._ ’Y_ 2%.] 1-5- I5: 25/)“; __ 2. 2 my Jév ﬁ)a§/6-/;gé L‘Lﬁmg—l - 0 .:€+I=Q", 3:3”? .: r ' . I "2,5775 _ 40776;. _ _Sp\$ue:a:2m,6=é—C¢u,ég=lo QUC: ’11-’6' 50-10-M 0.02 A (b),4\$sum¢ V, baht/CL“ Spliul’s. .2544.» = Edging -‘ 7-43, ‘4 = " an: '77-” "' A/ﬁ'ZO) Uri/alga E_ Va V .-é,,. /l/ -ﬂV’61- ; '30rz --‘D¢Ir- 3—072, Dag-,2: —g—%;.; Sa;-.4\é 0.02.51n6d676a .: 5.4;. ‘— 0.ooon 0- cos 30‘) -, San-J = [71,: 0.02%,“ 49 4.5 ,- 400053; (/y-cosso') ‘ v. .2 Q ’ : m2. '0.OOO£7I(I—cos‘30°+ l0+loco\$3a') = 365 35:14, pC.: C! 1% = 34.9 3F ...
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2002_002 - BB 325 Engineering Electromagnetics Quiz#1 10a W...

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