Last Name: First Name:Physics 102 Spring 2006: Final Exam —Multiple-Choice QuestionsFor questions 1 and 2, refer to the graph below, depicting the potential on the x-axis asa function of x3 2 1 1 2 3x604020204060V+x/1. Which of the charge configurations depicted below would give rise to the potential shown above?2. What is the x component of the electric field for points on the x-axis given by the potential depictedabove?May 3, 2006 PHYS102 Final Exam - Multiple-Choice Section Page 63. In each of the pictures below, the arrows represent the electric field lines and the distance between Aand B is the same. Assuming the electric field is the same at point A in all cases (1 - 3), list in orderfrom least to greatest the potential difference ∆VAB≡ V (B) − V (A).A B A B A B1 2 3(A) case(1) < case(2) < case(3).(B) case(2) < case(3) < case(1).(C) case(3) = case(1) < case(2).(D) cas e (2) < case(3) = case(1).(E) case (3) < case(1) < case(2).4. The current through an infinitely long solenoid is increased linearly as a function of time in the directionindicated in the figure below. The figure below represents a cross section of the solenoid indicatingthe direction of the magnetic field. The electric field inside the solenoid isI(A) in the form of counter-clockwise rotating circlescentered on the axis of the solenoid.(B) in the form of clockwise rotating circles centeredon the axis of the solenoid.(C) parallel to the axis of the solenoid.(D) radially directed outward fro m the center on theaxis of the cylinder.(E) zero.5. The switch in the circuit below has been opened a very lo ng time. What is the current through resistorR2immediately after the switch is closed?R1R2VL(A) V / R1.(B) VhR1+R2R1R2i.(C) V / (R1+ R2).(D) V / R2.(E) 0.May 3, 2006 PHYS102 Final Exam - Multiple-Choice Section Page 76. Consider four very long wires carrying equal steady cur rents going into or out of the page as indicatedin the figure below. Rank the line integral of the magnetic fieldH~B · d~l (from greatest to least) takenin the clockwise direction.xxxloop Aloop Dloop Cloop B(A) A > C > B > D(B) D > B > C > A(C) A = C > B = D(D) A = B > C = D(E) C = D > A = B7. A capacitor is fully charged to 24 V and then connected between points A and B in the figure below,with its positive plate located at A. What is the current through the 2 kΩ resis tor immediately afterthe capacitor is connected? 6 V1 kΩ2 kΩBA(A) 0 mA.(B) 2 mA.(C) 4 mA.(D) 8 mA.(E) 12 mA.May 3, 2006 PHYS102 Final Exam - Multiple-Choice Section Page 8Refer to the circuit below for Questions 8 - 10. At time t = 0, the switch is closed.VR1R2C18. The current, I0, thro ugh resistor R1at t = 0 is(A) I0= V/(R1+ R2).(B) I0= V/R1.(C) I0= V/R2.(D) 0.9. After the switch has been closed for a very long time, the potential difference, VC, across the capacitoris(A) VC= V .(B) VC= V (R1/R2).(C) VC= V (R2/R1).(D) VC= V (R1R1+R2).(E) VC= V (R2R1+R2).10. Which of the following graphs b e st represents the behavior of the charge on the capacitor as a functionof time?Q(t)TIMEQ(t)TIMEQ(t)TIMEQ(t)TIME(A)(B)(C) (D)May 3, 2006 PHYS102 Final Exam - Multiple-Choice Section Page 911. The figure below shows an open loop of wire in a magnetic field. There are no charged particles nearthe loop. Charge has piled up at the loop gap with the polarity indicated in the figure. What can beconcluded?-+(A) The magnetic field strength is static.(B) The magnetic field strength is increasing.(C) The magnetic field strength is decreasing.(D) There can be no charge piled up at the loop gap sincethis is not a closed loop.(E) More information is needed to answer the question.12. A loop of wire carries a constant current I in the clockwise direction when viewed from the right asshown below. A very long straight wire passes near the loop, als o carrying constant current I indicatedin the figure. The loop will experience a torque in what direction?ABCISide ViewI(out of page)IABHead on viewI(A) The loop experiences a net torque about axis A.(B) The loop experiences a net torque about a xis B.(C) The loop experiences a net torque about ax is C.(D) The loop experiences no net torque.13. Charges +4Q and −Q are situated a s shown below. The net electric field is zero nearest which point?AB DE+4QC- Q(A) A.(B) B.(C) C.(D) D.(E) E.May 3, 2006 PHYS102 Final Exam - Multiple-Choice Section Page 1014. A neutral pa rticle (labeled 1) in the figure be low is moving with constant speed in a reg ion of co nstantmagnetic field (the direction is indicated in the figure). At a given instant in time, particle 1 “decays”into two different particles (labeled 2 and 3). The two particles follow paths indicated in the figuresuch that initially they have the same radius of curvature. Which of the following statement(s) is (are)true?23X X X X XX X X X XX X X X XX X X X XX X X X XX X X X XX X X X XX X X X XX X X X XX X X X XX X X X XX X X X X1X X X X XX X X X XX X X X XX X X X XI. The ma gnitude of momentum of particle 2 is less than the magnitude of mo mentum of particle3.II. The magnitude of momentum of particle 2 is the same as the magnitude of momentum of particle3.III. The magnitude of momentum of particle 2 is greater than the magnitude of momentum o f particle3.IV. Particle 2 is negatively charged and pa rticle 3 is positively charged.V. Particle 2 is positively charged and particle 3 is negatively charged.VI. The speed of particle 2 is increasing.VII. The spe ed of particle 2 is decreasing.(A) Only I, IV, and VI are correct.(B) Only II, IV, and VII are correct.(C) O nly II, V, VII a re correct.(D) Only I, V, and VI are correct.(E) Only I, V, and VII are correct.May 3, 2006 PHYS102 Final Exam - Multiple-Choice Section Page 1115. The figure below shows two arcs of equa l radius centered about point P. Positive charge +Q is uniformlydistributed on a the upper arc and negative charge −Q is uniformly distributed on the lower arc, asindicated in the figure below. Which a rrow bests indicates the direction of the electric field at pointP, the center of the arcs?+Q-QP(A)(B)(C)(D)(E) 016. A solenoid ha s an inductance L0. A second solenoid is identical to the first except that its geometricaldimensions have been magnified by a factor of two and the total numbe r of loops remains the same.What is the ratio of the inductance of the magnified (L1) sole noid to the original solenoid (i.e., whatis L1/L0)?(A) 4.(B) 2.(C) 1.(D) 1/2.(E) 1/ 4.17. Doubling which of the following quantities quadruples