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HW6 solutions

# HW6 solutions - Name VETEEKé HOMEV‘JOR DUE on THURSDAY...

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Unformatted text preview: Name: VETEEKé HOMEV‘JOR DUE on THURSDAY 11/6/08 Multiple Choice Identiﬁ) the choice that best completes the statement or answers the question. C 1. {2 points) A metallic object holds a charge of —3.8 x 10'6 C. What total number of electrons does this represent? (e = 1.6 x 10'19 C is the magnitude of the electronic charge.) a. 4.2x1014 , _ -66 I, b- 6-1x10“ N: 92,: 3'3""? _ sew/0 MWch e. 2.4x1013 gs -[,(,.(D"qc d. 1.6x10’4 ie . (2 points) If body M, with a positive charge, is used to charge body N by induction, what will be the nature of the charge left on the latter? a must be equal in magnitude to that on M N b. must be negative . N 0. must be positive " ‘_ ‘2’? e d. of: must be greater in magnitude than that on M ' 6+0 0 inci— 74 3. (2 points) Two point charges, separated by 1.5 cm, have charge values of +2.0 and —4.(]_ pic, respectively. What is the value of the mutual force between them? (ke = 8.99 x 109I N-mzz’Cz) a. 320N , r _ ~67 “9 b_ 3.6x10—8N P: K©1CQ211 (Z 0£q_}o(’i_f\r_/i{z 240,,62‘5’10 ,6 : %20H 0. 8.0x 104m r2 ‘ p4 {QOISPM d. 3.1x10—3N C 4. (3 points) Four charges are at the corners of a square, with B and C on opposite corners. Charges A and D, 011 the other two corners, have eqarge, while both B and C have a charge of +1.0 C. ' =1 is zero? 2— 'L. 2—”??? are we _ Eire Rive: WEN” : SK'TTeriL H “ Kr?“ “ (Part) 3 4:5 [gar +Oi'Q/Q {19113 OM Biobeq’3‘a 10C 5: (“wk * K—-—-' a' ‘h ' : ‘Tf- “" _2 at) Fa Krill). —0.50c C Q E L I l ' - c. —O.35C a f h .‘Fs d. —0.71C l , Q}, 3 __ .____— :_ 0356: +93%: L ” 3/2. \$2 > Pie—L _ § r be ask-1V6 l“ 1 bi whit [A M (yogmve WOOL; be m (\LEtISPOSIHUéJbtWJ i C 5. (3 points} Charge A and charge B are 3.00 m apart, and charge A is +2.00 C and charge B is +3.00 C. Charge C is located between them at a certain point and the force on charge C is zero. How far from charge A is charge C? 21. 0.555111 aka 69:, 19 Q5 3 £9;— Egmlzo b. 0.667m W a 5M 5/4519; :5 Qt'bPZQB‘O‘Z H'btngUL . 1.35 :1. 1.502 x85 - 2. . _ 3.. a 0L 5 {kt-bag»: > 3 1#2(ququ):o 7' )2; O __> Oi. 3‘1 ‘9-(3'0‘ ' P 00"» liq-+1230 Q ' 6. (2 points) Two electrons are separated by one cm. What is the ratio of the electric force to the ﬂu 2‘— 13 " gravitational force between them? (me = 9.11 x 103‘ kg, kg = 8.99 x 109 N-mZICZ, G = 6.67 x 10‘" N-mzz’kgz, and e = 1.6 x 10—19 C) q 2. We; ._ . ._ a _ :, .._... a. 2.5 X 102 (if, i... dig, " K “+2.2: 1 gr 2.. b. 1.3 x 1020 my" L 1 (1,2, 22 0 M a ‘ 3 i _ _ - z:- :-:::3. m- L?— . we 41.2w . --"""- " _L G We; Fe. 6 37". b 7. (2 points) Two point charges each have a valuc of 30.0 arc and are separath by a distance of 4.00 cm. What is the electric ﬁeld midway between the two charges? (kg = 8.99 x 109 N-ngcz). a. 40.5x107Nrc _ .52 5+ _ - b. 20.3x107Nrc Qa~7F—.a E02) = Piers—9+ : Kﬁ%z%ﬁ~ mu? c. 10.1 x 107 we r er / a (1. zero 2— K -'2. a . 1—? -' ‘ , . - itD W m a M D'P’PLQI 16’ E gm” ﬁgs/WW. W of 0.10 m. At the third corner, what Js the_,electric ﬁeld magnitude created by these two charges? (kg = 8.99 x 109N-m21’C2) “ ’0 a ‘ ' we 3 a. 4.5 x 106 MC 3 b. 3.1x106NfC 51%;“? c. 1.6x105NI‘C / d. 4.8 x 106 MC "119. (3 poian) Two point charges are placed along a horizontal axis with the following values and positions: +3.0 ,uC at x = 0 cm and ‘10 ac at x = 20 cm. At what point along the x axis is the electric ﬁeld zero? ' . :4 (3 a- 89cm {spiel wi- PW” b. —44cm )L E c. —69cm O‘QOM El ‘ [32 d. —380m Q . a . ‘_, Mill FL“: igzdiL—“T’ l KL (1‘ . (2 points) Two charges, +Q and —Q, are located two meters apart and there is a point along the line that is equidistant from the two charges as indicated. Which vector best represents the direction of the electric ﬁeld at that point? a. Vector EA b. Vector 5:; c. Vector EC (1. The electric ﬁeld at that point is zero. . (2 points) A charge of +2 C is at the origin. When charge Q is placed at 2 In along the positive x axis, the electric ﬁeld at 2 m along the negative x axis becomes zero. What is the value of Q? | 2m * E611; Hal :3; Q X0: [60; __ (6 #g‘ﬂc 3 -3C a“ ‘-—-—-'—,; : - l :/> a“ Qf‘L-f—HL/Qfg bl. —6C [2 “ Uri :gc c. —7C ' ‘1‘ ‘3‘: Wilma sift. Meme 1% IJEZ I” 2_ C 12. (1 point) The number of electric ﬁeld lines passing through a unit cross sectional area is indicative of: a. ﬁeld direction. b. charge density. c. field strength. 4—""'“ d. charge motion. C 13. (1 point) A charge, +Q, is placed inside a balloon and the balloon is inﬂated. As the radius of the balloon r increases the number of ﬁeld lines going through the surface of the balloon: a. increases proportional to r2. b. increases proportional to r. c. stays the same. H d. decreases as lfr. B 14. (2 points) A spherical volume of space has an electric field of intensity 100 MC directed radially outward from it surface of radius 0.600 Hi. What is the net charge enclosed within this surface? ‘11)- 3-3 "g 1191.55 Gauss law 1 . . 11 I . E q): [XFFK-anaa, A 5%?” :MK (hale Pgigggi c. -6.8 nC d. -4.0 nC CD: 96mg.) ) — EM; Isﬂg(aéyﬁa wage: Mﬂﬂwﬁdl‘m K mar-mtg; c C 15. (1 point) A closed surface contains the following point charges: 6 C, 4 C, —2 C, 4 C. The electric ﬂux coming out of the surface is: a. CISQ- ‘- ]_ . b. —16 C13... W99 ’0", ' c. 4cm... q): (Lies-lib: affix—awe : d. -4Clso. Go éo *9 ...
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