ece311_fall05_t1_soln

ece311_fall05_t1_soln - ECE311 Test 1 September 21, 2005...

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Unformatted text preview: ECE311 Test 1 September 21, 2005 Name: ID: 1. (25 points) Charge density p0 C/m2 exists on the x = a and x = —a planes for —h g 2 S h. Find the force on a change of Q Coulomb located P(0, O, 2), an arbitrary point on the z—axis. A /\ ,_‘ fl 1 t '— Ali”? /C&{~4~)o/{—’ 4”” f L 3/ A 7- 7" lei/ea ‘1‘ 1-9” “L [4117' + (+10%) m +11 2 —- —Z~ I é , (4%)42’ [w / 7r L. L 4 (4,2) fiaglfiagfwt A "‘ +11 “L A "(06% ( ' A ’ ——-p . '2‘... [+7760 f E) é‘ . (MM _2__/' LZ' L— —_ *- L # 9A» L z 1 A L “[2 7?) /«+(~z’~2)+i‘ ‘/a7‘+(e’.%):‘~ +k « A l I .,f;%. [Galena/é aw i L + L. (+77% 4 42+(2'r73f‘ L—‘”° 42+[2l'2)4"(-2 l/“g‘gqffl W : A 4K I )0! / 2 ’2, . “ a £4 a if?" j {a / rz. ' {{+ ’Zr—ggu L‘lé° “ L “If-62”?) 447:]: tag-4' (vz W L4: :3 —(" 2 v1. A44 (0 g 7. i 7/ :: ~(f__. IL. (M (a 4—H > 117E “fl/kt 2’~ 2. 0 __l".L H 6a fLfi%. 2, 1— A4—% L). : “fog I {biaz‘fi’d’flj’ “(and ) fig Z Q. A AZA- (4+2) : 62 [14- L 2 7% A + (14”?) Fame. m +0 79*a +wo 3) (ad-95 : 1’3: 7_(§ 5 A A L L F: 52 fl & ’14 4 14“”) 277-6 2. (20 points) Find the electrostatic potential V(0, 0, 2), due to the system of four charges shown, at an arbitrary point on the z—axis. d A Y‘: 55—2— —-5 A» “I”: le-Y/l" \/’?’r"( PffiQo‘ V» tr 4 ' C” , Life» A 776a. £2442. "7/ 3. (35 points) (a) (20 points) TWO concentric and infinitely long conducting cylinders are shown. The inner cylinder carries a charge density of po C /m2. The outer cylinder is uncharged. Find the electric fields for all 'r. You may find Gauss’s Law useful. GAME? Low/V ééjgg’al; =’ anal-«l. M LJL. M cLa‘faz ‘S cm ’HAL OM+WS l’t‘ 0+ in. 1”“ w““""’“' Fa. Y<a- (3' émSYWW 3"”wa “H414 Er: 0 Wm will kaE— M Chm?” Wal0954). MAJ/V “(’1‘ a<7<£ (M E QWShM 0-314 Mplwwfi- 6"”: W. W” L > 6 E): 277 L. 7» I: 2"“'L' r 4- Y 3 .3/ .QM b<V<C D M « amsrrw— QJL‘WQ’W "U‘NW Y‘W—J' of J: C) b.(’y‘<c CM? 09‘ OS? _ a I o E : fin. r / 4v 5 , f ; o V<6z r If,“ 4*.<tr<i gar 0 é<r<4 ‘35 Coma (b) (15 points) Two concentric conducting cylinders are shown. The inner cylinder carries a charge density of po C/m2. The outer cylinder is grounded. Find the electric fields for all 7’. *YDC, 74,794 elm/«)2 web—Vol .: C9 4. (20 points) Draw approximate electric field lines (lines showing the direction of the electric field, with an arrow, appropriately spaced) and equipotential lines (estimate a rough equal potential change between lines) for the charge systems shown. (a) (6 points) (b) (7 points) (c) (7 points) ...
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ece311_fall05_t1_soln - ECE311 Test 1 September 21, 2005...

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