# 200 points 5 Problems on 4 Pages and 20 Multiple Choice/Short Answer Questions on 5 pages 1 hour, 48 minutes

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1 PHYSICS 132 Smple Finl 200 points 5 Problems on 4 Pges nd 20 Multiple Choice/Short Answer Questions on 5 pges 1 hour, 48 minutes Student Nme: Recittion Instructor (circle one): nme1 nme2 nme3 nme4 Write your nme nd circle the nme of your recittion instructor on every pge. The pges of this exm will be seprted nd ech pge grded by different instructor. You must hve your nme on ech sheet to receive grde. Show your work. Although n nswer my seem obvious, you must still justify your results. Problem 1 Problem 2 Problem 3 Problem 4 M.C. Totl Cover Pge

2 Physics 132, Smple Finl Nme: Problem 1, 25 points totl. A long conducting cylindricl shell is concentric bout long wire. The shell hs outer rdius c nd inner rdius b, while the wire hs rdius : < b < c. The wire hs uniform current 5i into the pge nd the shell hs uniform current 8i out of the pge. A cross-section of the rrngement is shown to the right. Use Ampere s Lw to nswer the following questions. () Wht is the mgnetic field, B(r), for r <? c b (b) Wht is the mgnetic field, B(r), for < r < b? (c) Wht is the mgnetic field, B(r), for r > c? (d) At wht vlue of r does the mgnetic field hve the lrgest mgnitude? Pge 1

3 Physics 132, Smple Finl Nme: Problem 2, 13 points totl. Consider the rrngement of wires shown in the figure. There re four stright sections nd two sections tht re qurter-circles tht lie on common circle of rdius R. Point P is t the center of the circle. R = 2.0 m, i = 8.0 A. Wht is the mgnetic field t loction P? R 2i P Problem 3, 13 points totl. A long wire crrying current 2i runs through the center of long solenoid crrying current, s shown in cross-section. The solenoid hs n turns per unit length. Wht is the mgnetic field distnce d bove the wire? 2i d Pge 2

4 Physics 132, Smple Finl Nme: Problem 4, 24 points totl. Three very long wires of length L lie prllel to ech other, nd re rrnged through three of the vertices of squre with sides of length. A cross-section of this rrngement is shown in the figure. The currents nd their directions re mrked. Neglect the effect of fringing fields. () Wht is the mgnetic force, F, on the leftmost wire due to the other two wires? i (b) Suppose we move the leftmost wire to the center of the squre. Now wht is the mgnetic force on it? i Pge 3

5 Physics 132, Smple Finl Nme: Problem 5, 25 points totl. A conducting squre loop with sides of length L is pulled up by string t constnt speed v in uniform mgnetic field, B, going into the pge s shown. The loop s resistnce is R nd its mss is m. () Wht is the current in the loop before it reches the dotted line? Also indicte its direction. v B L (b) Wht is the current in the loop fter the top of the loop psses bove the line, but before the bottom does? Also indicte its direction. (c) The string is cut nd the loop flls down. It reches terminl velocity before the top of the loop psses bck into the mgnetic field. Wht is the mgnitude of its terminl velocity? Pge 4

6 Physics 132, Smple Finl Nme: MULTIPLE CHOICE/SHORT ANSWER SECTION (100 points) There is no prtil credit nd you do not need to show ny work. 1. Electrons re going round circle in counterclockwise direction s shown. They produce mgnetic field whose direction t the center of the circle is: A) into the pge. B) out of the pge. C) to the left. D) to the right. E) undefined, becuse the mgnitude of the field is zero. electron 2. Four 20 Ω resistors re connected in prllel nd the combintion is connected to 20 V emf device. The current in the device is: A) 0.25 A B) 1.0 A C) 4.0 A D) 5.0 A E) 100 A 3. Pulling the pltes of n isolted chrged cpcitor prt: A) increses the cpcitnce. B) does not ffect the cpcitnce. C) increses the potentil difference. D) does not ffect the potentil difference. E) decreses the potentil difference. 4. An electron is moving north in region where the mgnetic field is south. The mgnetic force exerted on the electron is: A) zero B) up C) down D) est E) west Pge 5

7 Physics 132, Smple Finl Nme: 5. The digrm shows the electric field lines in region of spce contining two smll chrged spheres (Y nd Z). X mrks loction in spce. Y Z X A) Y is negtive nd Z is positive. B) the mgnitude of the electric field is the sme everywhere. C) the electric field is strongest midwy between Y nd Z. D) smll negtively chrged body plced t X would be pushed to the right. E) Y nd Z must hve the sme sign C of chrge re plced on sphericl conducting shell. A -3 C point chrge is plced t the center of the cvity. Wht is the net chrge on the inner surfce of the shell is? 7. An electron trveling north enters region where the electric field is uniform nd points north. The electron: A) speeds up D) veers west B) slows down E) continues with the sme speed in the sme direction C) veers est 8. A long stright wire is in the plne of rectngulr conducting loop. The stright wire crries n incresing current in the direction shown. The current in the rectngle is: A) zero B) clockwise C) counterclockwise D) clockwise in the left side nd counterclockwise in the right side E) counterclockwise in the left side nd clockwise in the right side Pge 6

8 Physics 132, Smple Finl Nme: 9. A 2 meter stick is prllel to uniform 200 N/C electric field. The potentil difference between its ends is: A) 0 D) 100 V B) 1.6 x V E) 400 V C) 3.2 x V The next two problems re bout the circuit shown in the figure. The bttery is idel nd the wires hve negligible resistnce. Initilly the switch is open nd the cpcitors re unchrged. Then the switch is closed. R 1 R 2 E 10. Just fter the switch is closed, wht is the current through resistor R 3? C C S R A long time fter the switch is closed, wht is the current through the bttery? 12. Consider the two positions mrked P nd Q underneth lrge sheet of chrge with chrge density +σ, shown in cross-section. Which sttement is true bout the potentils t these two positions? A) V P < V Q d B) V P = V Q Q C) V P > V Q D) V P = kσ/d, V Q = kσ/2d E) There is insufficient informtion to estblish reltion between the potentils t P nd Q. d P +σ Pge 7

9 Physics 132, Smple Finl Nme: 13. Given the uniform electric field shown in the figure, nd the position P, which sttement is true? A) Potentil increses to the right. B) The force on n electron t P would be to the left. C) The electric field between the lines is zero. D) The electric field mgnitude increses to the right. E) None of the bove sttements re true. P 14. Which sttement bout btteries is flse? A) An idel bttery cn supply n rbitrrily lrge mount of current. B) The chnge in potentil moving from A to B equls -E. C) The voltge drop cross rel bttery is independent of the current it supplies. D) A proton would hve higher potentil energy t point A thn t point B. E) A current running from A to B would chrge the bttery. E A B 15. A current loop lies in the plne of the pge with the current going clockwise. Initilly the loop is not moving. Then mgnetic field is pplied in the negtive y direction. Which wy will the loop rotte? A) About the x-xis. B) About the y-xis. C) About n xis centered on the loop nd perpendiculr to the pge. D) The loop will not rotte t ll. E) There is not sufficient informtion to determine the nswer. i y x 16. Wht is the electric field distnce r outside the chrge distribution shown: point chrge inside two concentric, sphericl, chrged shells? A) 2kq/r 2, rdilly inwrds. B) kq/r 2, rdilly inwrds. C) Zero. D) kq/r 2, rdilly outwrds. E) 2kq/r 2, rdilly outwrds. r -2q +q -q Pge 8

10 Physics 132, Smple Finl Nme: 17. There re uniform mgnetic fields perpendiculr to the plne of the pge in the boxed regions. A positively chrge prticle follows the trjectory shown. Wht re the directions of the mgnetic fields in region A nd B? A A) A: into the pge; B: into the pge B) A: into the pge; B: out of the pge C) A: out of the pge; B: into the pge D) A: out of the pge; B: out of the pge E) There is not sufficient informtion to nswer this question. +q B 18. A positively chrged prticle enters the region between two lrge, prllel conducting pltes nd trvels through undeflected s shown. There is mgnetic field in the region between the two pltes pointing towrds the right. How re the electric potentils of the two pltes relted? (Neglect the effect of fringe fields.) V 1 A) V 1 < V 2 B) V 1 = V 2 C) V 1 > V 2 D) They cnnot be relted without reference potentil. E) They cnnot be relted without knowing the distnce between the pltes. +q V Two unchrged metl spheres, L nd M, re in contct. A negtively chrged rod is brought close to L, but not touching it, s shown. The two spheres re slightly seprted nd the rod is then withdrwn. As result: A) both spheres re neutrl. B) both spheres re positive. C) both spheres re negtive. D) L is negtive nd M is positive. E) L is positive nd M is negtive L M insulting stnds 20. Three resistors, R 1, R 2, R 3, re in series with ech other. R 1 < R 2 < R 3. There is current running through R 1. Which sttement is true? A) R 1 hs the lrgest potentil difference cross it. B) R 3 hs the lrgest potentil difference cross it. C) The potentil difference cross ech resistor is the sme. D) The power dissipted by ech resistor is the sme. E) If the resistors re mde of the sme mteril, nd hve the sme cross-sectionl re, then R 1 is the longest. Pge 9

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