208Test2_solutions - Problem 1(4 pts Write the expression...

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Unformatted text preview: Problem 1 (4 pts) Write the expression for the magnetic field vector due to a. moving point charge. Your answer must be mostly cow-ect to receive credit, including arrows for vectors, correct subscripts, etc. There is no partial credit. ,— 9 *- g 2—. ljo Q'U'Jér 0’2 LrTf’ I131?" '13: 2L.13’)¢? M“ HEP Problem 2 (6 pts) An electron is moving as shown in the diagram below. (Axes are shown on page 3). X0 AX 9—n; B X At the location A what is the direction of the magnetic field made by the electron? Circle the letter of your choice: At the location B what is the direction of the magnetic field made by the electron? Circle the letter of your choice: +x -x +y -y ® -z zero At the location 0 what is the direction of the magnetic field made by the electron? Circle the letter of your choice: Problem 3 (6 pts) A thin plastic shell has a uniformly distributed charge of —2_5 110 on its outer surface. A concentric thin plastic shell of larger radius has a uniformly distributed charge of +58 110 on its outer surface. The shells are hollow and separated by insulating spacers that are not shown in the diagram. 9 zero magnitude What is the direction of the electric field at the three locations A, BI and C shown in the diagram above? Use the direction rosette to answer this part. Circle the number of your choice. 2 3 4 5 a 7 8 Electric field at location A: 1 Electric field at location B: CD 2 3 4 5 6 7 s 9 1 Electric field at location 0: 4 if I 0 W C. m M )C M 'fi a J . Problem 4 (4 pts) ‘ You stand at location A, 0.5 In from the origin, and hold a small charged ball. You find that the magnitude of the electric force on the ball is 0.007 N. You move to location B, 1.5 m from the origin, and find the magnitude of the electric force on the ball to be 0.0023 N. What object located at the origin might be the source of the field? Circle the answer of your choice. 3‘ Y | e X l E a x A B “'33:.“ - 15m4 (A) A point charge (3) A dip016 gran. n neg/(4,19% P719 [90” H M @ long uniformly charged rod £0 (K2 aim M (D) A uniformly charged hollow sphere (E) None of the above Problem 5 (5 pts) In a. region of space there are several stationary charged objects. Along a path from p - q - r - s - t as shown in the figure below, you measure the following potential difi'erences: -Vq- Vp=+12v V,.— V.,=+3.2_v Vs— V,=—6.5V Vg— V..=-2.1v ‘5 H H X! What is the potential difference VP — Vt? Show all steps in your work: — O AVI‘MH'L’J if (V% ,vp) + (vr-v%) + (Vs-Vr)+ (VF-Q +0394” .1 0 Hz +24 .— e-§——2~J “*Qfir've) r—o C-é +(VP—V£_> 1: a V -V :— -— é'é V Problem 6 (9 pts) A metal block of width 3.0 cm ruides in a region with the electric field pattern as shown below. IEII is 2500 Wu: while lfizl is 3000 V/m. Calczflate the' potential difference V A — V B. Show all steps in your 'work. Problem 7 (18 [3133) At a particular instant a proton is at the location (0, —6 x 10—3, 0) m, and moving with a. velocity (0, —6.8 x 104, 0) m/s. Calculate the magnetic field at the location 6' at (5 x 10—3, 0, 0) m. Show all steps in your work. 'Your final answer must be expressed as a vector. 1" '5 . r 7 {5.8”}! 05") ‘— (Cg/n- 62—3! ts> .: (See, 62—3: co.»— [F3] :- J(s’e-3)7*+(é=2—3)1 :. ¥“S4£'3M F “:3 <§€-3/ 6-2—3, 53> ____________..» 14844—3 : 49-64, 9-17,0> 9 It U M r— <0, 4m Lt, 93>): <04“, 0-H, o) 2 <0, 9/ 4-352ea> ’3 : E" %:'U?$r 1"” l?!" 2 012-?) (1.6240 <@, 0/ L+~3§22 Le) H2, (77842-3) 22 (2-629,— 2'2)<@/ 0/ gag-242g) ; <0! 0/ Litre—{71>T fl 1;!) 5C? :1 (a) #é-%e&,o>x (99-8 be 3(0)) . 2: 40, 0, BHO> —~ «9 g 1: IE" % iflf’ M" F9913 :(m—rl) [Leo—4‘1) <0 0/340). (We—3f 2 @ 360,21?) 4mm, 3H0) 7" <92 0/ "'Lté*l¥>_r MMLQLQMW IE) 2 L 33; 6t»@“ Mr HE’IQ’ :_ 0 93;) (Me-40 (é~8’e4) gt Cifl-S’le -—3 2' INC/L59- Problem 8 (20 pts) A thin glass rod, of length 4 m, lies parallel to the x—axis and 22 cm below it. It has a. charge of +300 110 uniformly distributed over its surface. A thin plastic ring, of radius 6 cm, is centered on the Iva-axis, 12 cm to the left of the origin. It has a uniform charge of ---20 [10. "Note that the diagram is not to scale. The rod is much longer than is shown here. smpm 5&1: wag: I--l | ET H “I I l I I I I I ~‘ ————-—4 l3 3 Calculate the force on a. small ball with charge —5 n0 placed at the origin. Your answer must be a vector. Clearly show all steps in your work. Problem 9 (28' pts) A capacitor consists of two very large metal disks of radius 3 m placed 5 mm apart. The plates are charged and then disconnected. One of the plates has a charge of +62 and the other has a charge of —Q. 'An electron moving at a speed of 4.6x 107 m/s enters through a hole in'the right plate at location A. It moves across the gap, and when it reaches the left plate, at location B, its speed is 5.2x 106 m/s. Note: The diagram is not to scale. The plates are much lair-yer and the separation distance is much smaller than shown. (a: l4pts) Calculate the potential difl'erence VB — VA. Show all steps in your work. AIL +’A u = a l- ___________ _| A I4 + a, AV 1‘55 3 /.S. [L :_ —-- $ A U 3% 4—1;.— ___ 7. z _ __ _ éCQe-Bf)( 542$ — Lesa?) * ' ‘9“? AV T (b: 4pts) Which plate is positive? Justify your answer with a bn'ef explanation MWPW “My 91¢ch rs 45(94):“? 066—903“ 04’ cf—W {701.6% CFflo—MkpfmJ-fi 3&- AV '5 ”fig-“6:” 7:“? PM Continuedonneztpage (fixnfikh's a/p’a. wwpad—bcw. 11 Contimted from par-evince page (c: 4pts) Draw arrowg to mprmt the electric field vector at two locations in the region between the plates and label them E. The relative lengths of the amws must be correct. (d: 6pts) Now a plastic slab of dielectric constant 3.2 fills the gap between the plates. What is VB — VA now? Show all steps in your work. ' _ AU ;, ewe? 3~7_ :-— ”526' l/ 12 ...
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