Quiz-1-Spring-2002 - -~ mum “an“ ‘hiflillltk...

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Unformatted text preview: : - -~- mum .. “an“..- - ‘hiflillltk ‘. 'TT‘L V Hilfii'i 5-, LIBRARY l OF lllCIHU'I 6 Physics Department Physics 211 March 11, 2002 Quiz I Time: 1 hour Name: ID number Major Remark: A correct answer without a solution is not counted Given : ke = 1/(41reo) = 9x109 SI T ry to dot/21's test in one hour once only. 1. 2. 3. A particle ( m = 50 g, (1 : 5.0 ,iiC ) is released from rest when it is 50 cm from a second particle ( Q _= —20 ,uC ). Determine the magnitude ofthe initial acceleration of the 50 g. F a. 54m/sz b. 90 m/frz c. 72ml32 d. 65 oar/fr“7 e. 36m/s2 F" I 4. A large, flat, non—conducting surface has a uniform charge density 0 . A small circular hole of radius R has been cut in the middle of the surface, as shown in the figure. Ignore finging ofthe field lines around all edges, and calculate ( using the superposition principle) the electric Qield at point P , a distance 2 from from the center of the hole along its axis. Solution: l M". . 1AM ERIC \:~' tannsrr in L 1 B 22 A R Y I'rl" lliillill'i l I _.._ "Md—I“ 6.0 mm ) has a non—uniform volume nd r is the distance from the 2.0 mm 5. A long non-conducting cylinder ( radius = charge density given by orr2 , where o. = 6.0 mC/mj a axis of the cylinder. What is the magnitude of the electric field at a point from the axis? (.The answers are given with two significant figures) a. 1.4 N/C b. 1.6 [WC 0. 1.8 N/C d. 2.0 N/C e. 5.4 N/‘C /' ‘r 1 Solution: . — 6.0 cm ) has a charge uniformly distributed on 6. A long cylindrical shell (radius — its surface. If the magnitude of the electric field at a point 8.0 cm radially outward from the axis of the shell is 85 MC , how much charge is distributed on a 2.0 m length of the charged cylindrical surface? a. 0.38nC b. 0.76 nC c. 0.19HC d. 0.57HC e. 0.98MC Solution 7. A proton ( mass = 1.67 x 10'27 kg , charge = 1.60 x 10‘19 C) moves from a point A to point B under the influence of an electrostatic force only. At point A the prot’on moves with a speed of 60 inn/s . At point B the speed of the proton is 80 kin/s . Determine the potential difference VB — V A. 21. +15 V b. -15 V c. —33 V d. +33 V e. -20 V Solution: shape has a net charge of + 10 ,uC . Inside the go q = + 3.0 #C. What is the surface of the conductor? ( Give 8. An isolated conductor of arbitrary conductor is a cavity within which is a point char charge (a) on the cavity wall and (b) on the outer your solution) 9. Two particles, each having a mass of 3.0 mg and having equal but opposite charges of magnitude of 6.0 ”C, are released simultaneously from rest when they are a very large distance apart. What distance separates the two at the instant when each has a speed of 5.0 m/s. b. 8.6mm c. 7.3mm d. 5.6mm e. 2.2 mm a. 4.3 mm SLERHJ‘. FNI‘VEBEIT [uranium] (1F millu"! “W Solution; 10. ge ofuniform density 12 nC/m is distributed along x axis from x = 2.0 m to x = 5.0 Hi. What is the electric potential (relative to zero at infinity) at the origine (x = 0.0 . m) ‘? a. 91 V b. 82 V C. 74 V d. 99 V e. 101 V Solution: 11. In the figure, if Va — V = 22 V, how much energy is the 50 #F capacitor? a. 0.78 m] b. 0.58 111.] c. 0.68 m] d. 0.48 m] e. 0.28 m} 25 MF Solution: a l I 50M? b nJ 25m 12. A 30 #17 capacitor is charged to 40 V and then connected across an initially uncharged 20 #17 capacitor. What is the final potential difference across the 30 ,uF capacitor? a. 15V b. 40V 0. 18V d. 21V 2:. 24V Solution: l Vf i ’ ...
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