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1、AP® Physics C: Electricity and Magnetism2004-Response QuestionsThe Collegis a not-for-profit membership association whose mission is to connects to college success and opportu.Founded in 1900, the association is composed of more than 4,500 schools, colleges, universities, and other educational

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3、, the PSAT/NMSQT®, and the Advanced Placement Program® (AP®). The Collegis committed to the principles ofexcellence and equity, and that commitment is embodied in all of its programs, services, activities, and concerns.For further information, visitCopyright © 2004 College Entran

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7、 for face-to-face teaching purposes but may not mass distribute the materials,electronically or otherwise. This permission does not apply to any third-party copyrights contained herein. These materials and any copiesof them may not be resold, and the copyright notices must be retained as they appear

8、 here.TABLE OF INFORMATION FOR 2004 and 2005The following conventions are used in this examination.I. Unless otherwise stated, the frame of reference of any problem is assumed to be inertial.II. The direction of any electric current is the direction of flow of positive charge (conventional current).

9、III. For any isolated electric charge, the electric potential is defined as zero at an infinite distance from the charge.2CONSTANTS AND CONVERSION FACTORS271 unified atomic mass unit,1 u = 1.66 ¥ 10kg2= 931 MeV/cProton mass,m = 1.67 ´ 10-27 kgpNeutron mass,m = 1.67 ´ 10-27 kgnElectron

10、 mass,me = 9.11 ´ 10- kg31Magnitude of the electron charge,e = 1.60 ´ 10-19 CAvogadros number,N0 = 6.02 ´ 1023 mol-1Universal gas constant,R = 8.31 J / (mol K)Boltzmanns constant,k = 1.38 ´ 10-23 J / KBSpeed of light,c = 3.00 ´ 108 m / s Plancks constant,h = 6.63 ´ 10-3

11、4 J ×s = 4.14 ´ 10-15 eV ×shc = 1.99 ´ 10-25 J ×m = 1.24 ´ 103 eV ×nmVacuum permittivity,0 = 8.85 ´ 10-12 C2 / N ×m2Coulombs law constant,k = 1/ 4p 0 = 9.0 ´ 109 N ×m2 / C2Vacuum permeability,m 0 = 4p ´ 10-7 (T×m) / AMagnetic constant,

12、k' = m / 4p = 10-7 (T×m) / A0Universal gravitational constant,G6.67 ¥ 10 11 m 3 / kg s 2=Acceleration due to gravityat the Earths surface,g = 9.8 m/ s21 atmosphere pressure,1 atm = 1.0 ´ 105 N / m2= 1.0 ´ 105 Pa1 electron volt,1 eV = 1.60 ´ 10-19 JUNITSNameSymbolmetermki

13、logramkgsecondsampereAkelvinKmolemolhertzHznewtonNpascalPajouleJwattWcoulombCvoltVohmWhenryHfaradFteslaTdegreeCelsiusCelectron-volteVPREFIXESFactorPrefixSymbol109gigaG106megaM103kilok10-2centic10-3millim10-6microm10-9nanon10-12picopVALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLESqsin qcos qtan q0

14、 01030 1/23/2 3/3 37 3/54/53/445 2 /2 2 /2 153 4/53/54/360 3/2 1/2390 10¥ADVANCED PLACEMENT PHYSICS C EQUATIONS FOR 2004 and 20053MECHANICSu = u0 + ata = accelerationF = forcex = x0 + u0 t + 1 at2f = frequency2h = heightu2 = u02 + 2a (x - x0 )I = rotational inertia F = Fnet = maJ = impuls

15、eK = kinetic energyF = d pk = spring constantdt= lengthJ = Ú F dt = DpL = angular momentump = mvm = massN = normal forceFfric £ mNP = powerp = momentumW = Ú F d rr = radius or distanceK = 1 mu2r = position vector2T = periodP = dWt = timedtU = potential energyP = F vu = velocity or spe

16、edDU= mghW = work done on a systemgx = positiona = u2 = 2m = coefficient of frictioncrw rq = anglet = torquet = r ¥ Fw = angular speedÂt = t net = Iaa = angular accelerationI = Ú r2dm =  mr2rcm =  mr  mu = r wL = r ¥ p = IwK = 1 I w22w = w0 + atq = q0 + w0t + 1

17、at22Fs = -kxUs = 1 kx22T = 2p = 1wfTs = 2p mk Tp = 2p gFGm1m2 G =-2rrUGm1m2G =-rELECTRICITY AND MAGNETISMF =q1q2A = areapr 2B = magnetic field0C = capacitanceE = Fd = distanceqE = electric fielde = emf E · dA = QF = force 0I = currentE = - dVL = inductancedr= lengthV = qin = number of loops of

18、wireper unit lengthp 0 i riP = powerU = qq1q2Q = chargep 0rq = point chargeER =C = Qr = distanceVt = timeC = k 0 AU = potential or stored energydV = electric potentialu = velocity or speedCp = Cir = resistivityifm = magnetic flux= k = dielectric constantCsi CiI = dQdtcCV 22R = r AV = IRRs = Rii 1 =

19、1 Rpi RiP = IVFM = qv ´ B B · d = m0 I F = z I d ´ B Bs = m0 nIfm = z B · dA dfe = - mdtdIe = - LdtU = 1 LI 2L2ADVANCED PLACEMENT PHYSICS C EQUATIONS FOR 2004 and 20054GEOMETRY AND TRIGONOMETRYRectangleA = areaA = bhC = circumferenceTriangleV = volumeA = 1 bhS = surface area2b =

20、baseCircleh = heightA = pr 2= lengthC = 2prw = widthParallelepipedr = radiusV = whCylinderV = pr 2 S = 2pr + 2pr 2SphereV = 4 pr 33S = 4pr 2Right Trianglea 2 + b2 = c2casin q = aq90°cbcos q = bctan q = abCALCULUSdf = df du dxdu dx d (xn) = nxn-1 dx d (ex) = ex dx d (1n x) = 1dxx d (sin x) = cos

21、 x dx d (cos x) = -sin x dxÚ xndx = 1 xn+1, n -1n + 1Ú exdx = exÚÚ cosxdx = sin xÚsin xdx = -cos x2004 AP® PHYSICS C: ELECTRICITY AND MAGNETISM-RESPONSE QUESTIONSPHYSICS CSection II, ELECTRICITY AND MAGNETISMTime45 minutes3 QuestionsDirections: Answer all three question

22、s. The suggested time is about 15 minutes for answering each of the questions, which are worth 15 points each. The parts within a question may not have equal weight. Show all your work in the booklet in the spaces provided after each part, NOT in this green insert.E&M. 1.The figure above left sh

23、ows a hollow, infinite, cylindrical, uncharged conducting shell of inner radius r1 and outer radius r2 . An infinite line charge of linear charge density + l is parallel to its axis but off center. An enlarged cross section of the cylindrical shell is shown above right.(a) On the cross section above

24、 right,i. sketch the electric field lines, if any, in each of regions I, II, and III andii. use + and - signs to indicate any charge induced on the conductor.(b) In the spaces below, rank the electric potentials at points a, b, c, d, and e from highest to lowest(1 = highest potential). If two points

25、 are at the same potential, give them the samber. Va Vb Vc Vd VeCopyright © 2004 by College Entrance Examination Board.Visit (for AP professionals) and.(for APs and parents).GO ON TO THE NEXT PAGE.52004 AP® PHYSICS C: ELECTRICITY AND MAGNETISM-RESPONSE QUESTIONS(c)The

26、shell is replaced by another cylindrical shell that has the same dimensions but is nonconducting and carries a uniform volume charge density + r . The infinite line charge, still of charge density + l , is located at the center of the shell as shown above. Using Gausss law, calculate the magnitude o

27、f the electric field asa function of the distance r from the center of the shell for each of the following regions. Express youranswers in terms of the given quties and fundamental constants.i.ii. iii.r < r1r1 £ r £ r2r > r2Copyright © 2004 by College Entrance Examination Board.

28、Visit (for AP professionals) and.(for APs and parents).GO ON TO THE NEXT PAGE.62004 AP® PHYSICS C: ELECTRICITY AND MAGNETISM-RESPONSE QUESTIONSE&M. 2.In the circuit shown above left, the switch S is initially in the open position and the capacitor C is initially uncharg

29、ed. A voltage probe and a computer (not shown) are used to measure the potential difference across thecapacitor as a function of time after the switch isd. The graph produced by the computer is shown aboveright. The battery has an emf of 20 V and negligible internal and the capacitor C has a capacit

30、ance of 20 mF. Resistor R1 has aof 15 kW(a)(b)(c)(d)Determine the voltage across resistor R2 immediately after the switch is Determine the voltage across resistor R2 a long time after the switch is Calculate the value of the resistor R2.Calculate the energy stored in the capacitor a long time after

31、the switch isd.d.d.Copyright © 2004 by College Entrance Examination Board.Visit (for AP professionals) and.(for APs and parents).GO ON TO THE NEXT PAGE.72004 AP® PHYSICS C: ELECTRICITY AND MAGNETISM-RESPONSE QUESTIONSOn the axes below, graph the current in R2 as a func

32、tion of time from 0 to 15 s. Label the vertical axis with appropriate values.(e)Resistor R2 is removed and replaced with another resistor of lesser long time. Switch S remainsd for a(f)Indicate below whether the energy stored in the capacitor is greater than, less than, or the same as it was with resistor R2 in the circuit. Greater thanExplain your reasoning. Less than The same asCopyright © 2004 by College Entrance Examination Board.Visit