ECE2317_Exam1_Fall_2007

ECE2317_Exam1_Fall_2007 - A P0745301 . Show all of your...

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Unformatted text preview: A P0745301 . Show all of your work. No credit will be . Write neatly. You will not be DO NOT BEGIN THIS EXAM UNTIL TOLD TO START Name: Student Number: I Instructor: Tl C W3.“ ECE 2317 Applied Electricity and Magnetism Exam 1 October 2"“, 2007 . This exam is open book and open notes. given if the work required to obtain the solutions is not shown. . Perform all your work on the paper provided. given credit for work that is not easily legible. . Leave answers in terms of the parameters given in the problem. Show units in all of your final answers. Circle your final answers. If you have any questions, ask the instructors. You will not be given credit for work that is based on a wrong assumption. . You will have a total of 80 minutes towqu the entire exam. 2.3: [25 Prob.1 3-335“ [25 Prob. 3 [L /25 Prob. 2 2.5“ /25 Prob. 4 Academic Honesty Statement I agree to abide by the UH Academic Honesty Policy during this exam. I understand that the punishment for violating this policy will be most severe, including the possibility of getting an F in the class and/or getting expelled from the University. Signature TABLE OF lNTEGRALS TABLE OF COORDiNATE SYSTEM FORMULAS x=pcos¢5 F-fc=sinl9c:os¢=x/r yzpsinqfi F-jz=sin63in¢=y/r 2:2 F -2=cos§=z/r x=rsin6ctos¢ y =rsin63in¢ z=rcosl9 erx2 +322 +22 6=cos‘l(z/ xl+y2+zz) ¢=tan‘1(y/x) r=xmz+z2 6=tan"(p/z) ¢=¢ LII/fl Problem 1 (25 pts) - ‘ A point charge having q 3 1 [C] is at the origin. Find the vector force on this point charge due to a line segment of uniform charge density ,0,O [C/m] that is parallel to the x axis as shown below. The line segment has length L and is located at a height 11 above the x axis. \m‘rfi‘\/*A » WK" IL >< Total forcfleflvector = a}, \V :1 i v - m I \ ‘ I I I [am __ \‘-\ i: _ m ""— “L. l C L, h r ‘ MT i [w] . / \x " I >3 V..,_,|.,_;;__fif__.L... h h ROOM FOR EXTRA WORK I’ \ \ #— " “W H l :5 h. KW 31*“ \f‘ J \Plh I ~= " #11:: L “62+ W h t) WW ~.,. Problem 2 (25 pts) {1 l Y ‘ \. A circular disk of radius a centered at the chhrdinate origin, and lying in the xy plane, has a surface charge density pg = (x2 + 322 +32 )-3 [C/mz]. (a) Find the total charge on the disk. ' . ca ‘9‘: K ( [mfg .LP Cari (POI OJ ./ - 7\ r—n-m "“ (:3 («K 9:1 -—, \ #3,; j 5 C V + SL4. a} 2‘: ()7 i“ if} Q) ; ' r!) o 4 was?” “r q \ I. (b) Find the electric field at (0,0,3). hWA_ A .. Y F: wL— 3' “‘- 3’ Jr) A ' ' W “r2: WWWA—ZB a r'LTT O‘u 9 I ,. A .‘ _’_‘ V m .1"- r) .4 \I P ,._ \ \I h ‘1: 4 ‘U 3/?” (fair? (é (AKRJ) 4- :3 '73: [ti m rzmr-Jvhm-‘mwm Li “ go 0 .______I.._“H..__,___._,_M _ .....m“m.m__‘ _ - - "" L1) — I “Wanda”. .\ k; y if??? “53. r’ W ‘ 0\ - .rm 3: ‘ g, 9f) (NIL!) i a 22L CV12“! “BL-i “j i ? P . .' 2 -i_ “h r .7 J f” “mi—“r” " ~ 3 cm 1.x 4 x 2 . "’9 ,. . {gm & O O \fd-aq “i ‘jw'gfkpoa {5/1 ROOM FOR EXTRA WORK UK .. J y L: CV14 L 4—00 " f" 3/“ 2‘ 0 ' o “ ( {.J’ 1 4 ‘5 9,) d. __ ~33???” A?» j? I ) 9 36:9 filth w . Iva)- -- 3 e 3?? " 11v "‘"‘ '”’- “a =v.v,~.r . w I ._ .. -" I q." <5. ’2. arm“ 1 (D \_!/Q (7 x Problem 3 (25 pts) A surface 0<6<£ 2 charge density ps = 105-0 Cfmé sm 6 [C/mz], where pgO is a constant, exists on the portion , 0 < gé <33 of a sphere of radius a as shown. Find the total charge on this part of the sphere. My ’1— ‘Tfl?’ \f': A. Total charge = K . ,. fil- T 3/1 h A } IN l—W _ I {ll/ta ’1 : J I? 0 i we "2L m r l, _ {P363 f..- -\. N ,f 2. ,2 2,- “mm “2... _ m w 22’. fl. W t ‘1‘. C"! '3 .. Z a 24: (ii: AP ROOM FOR EXTRA WORK 10 Problem 4 (25 pts) A very long cylinder of uniform (constant) volume Charge density pv = K4 [C/m3] has a radius of p = 4 [m]. Surrounding this charge is a very long cylinder of uniform surface charge density pS = K3 [C/ml], having a radius of p = 8 [m]. (K; and K3 are arbitrary constants.) Find the electric field vector in all three regions of space: g D . d 2 g’mc \. p < 4 [In] 7 4 < p < 8 [n1] p>8 [in]. pv 2K4 [C/m3] p3 2K8 [C/mz] - , __ k “a .. (if?) \. "‘i “fix 3% N"! " a 11 N‘ ROOM FOR EXTRA WORK. $35: 1’1"“. M KP Z. 14 [mi] [M M ‘ Xx. 'L‘Tr A ‘ .‘ KDJ’ 9‘ C‘12? ft“??? " l} a O 0 O by, 2.7? t 31/” T M M . J) ‘ " a 1‘ ‘ m ‘0 “ -’ 4 94: >2 w « m cm a: 3'” r 1, r K w (f) [\ u I"! '— ‘1' r -‘. “I j ' I F 1 l“). 'LTIPL‘K‘QP k .11: x / DP * W 5 L1 _ C > J} ,1“ F: n, i. rr 2‘ 913% w z 2.7: L 4 1 L» y h, J.) u t 1-; x — 7 a "m 351% Jr‘u , Q N 3 t: P ‘f--. .1 1 w P D 12 / ’ kw“ - "\M LPZ- ~ 13 ROOM FOR EXTRA WORK .44, ...
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This note was uploaded on 10/29/2009 for the course ECE 2317 taught by Professor Staff during the Spring '08 term at University of Houston.

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ECE2317_Exam1_Fall_2007 - A P0745301 . Show all of your...

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