AP Physics C: Electricity and Magnetism 2010 Free-Response Questions
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1 AP Phyc C: Electcty n Mgnet Fee-Repone Queton The College Bo The College Bo not-fo-poft ebehp octon whoe on to connect tuent to college ucce n oppotunty. Foune n 9, the College Bo copoe of oe thn 5,7 chool, college, unvete n othe euctonl ognzton. Ech ye, the College Bo eve even llon tuent n the pent,, hgh chool, n,8 college though jo pog n evce n college ene, college on, gunce, eent, fnncl n enollent. Aong t wely ecognze pog e the SAT, the PSAT/NMSQT, the Avnce Plceent Pog (AP ), SpngBo n ACCUPLACER. The College Bo cotte to the pncple of ecellence n equty, n tht cotent eboe n ll of t pog, evce, ctvte n concen. The College Bo. College Bo, ACCUPLACER, Avnce Plceent Pog, AP, AP Centl, SAT, SpngBo n the con logo e egtee tek of the College Bo. Atte Cl Evluton Sevce tek owne by the College Bo. PSAT/NMSQT egtee tek of the College Bo n Ntonl Met Scholhp Copoton. All othe pouct n evce y be tek of the epectve owne. Peon to ue copyghte College Bo tel y be equete onlne t: Vt the College Bo on the Web: AP Centl the offcl onlne hoe fo the AP Pog: pcentl.collegebo.co.
2 Poton, Neuton, p n TABLE OF INFORMATION FOR n CONSTANTS AND CONVERSION FACTORS kg Electon chge gntue, -7-9 e.6 C.67 kg -9 electon volt, ev.6 J - 8 Electon, e 9. kg Spee of lght, c. - Unvel gvttonl - Avogo nube, N 6. ol contnt, G 6.67 kg Unvel g contnt, R 8. J (ol K) Acceleton ue to gvty t Eth ufce, g Boltznn contnt,.8 J K k B -7 unfe toc unt, u.66 kg 9 MeV c Plnck contnt, -4-5 h 6.6 J 4.4 ev Vcuu pettvty, Coulob lw contnt, Vcuu peeblty, Mgnetc contnt, -5 hc.99 J.4 ev n C N 9 k 4p 9. N C -7 4p (T ) A 7 k 4 p - (T ) A 5 5 tophee peue, t. N. P UNIT SYMBOLS ete, ole, ol wtt, W f, F klog, kg hetz, Hz coulob, C tel, T econ, newton, N volt, V egee Celu, C pee, A pcl, P oh, W electon-volt, ev kelvn, K joule, J heny, H PREFIXES VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES Fcto Pef Sybol q gg G nq eg M coq 45 5 klo k tnq cent c - ll 6 - co 9 - nno n - pco p The followng conventon e ue n th e. I. Unle othewe tte, the fe of efeence of ny poble ue to be netl. II. The ecton of ny electc cuent the ecton of flow of potve chge (conventonl cuent). III. Fo ny olte electc chge, the electc potentl efne zeo t n nfnte tnce fo the chge. --
3 ADVANCED PLACEMENT PHYSICS C EQUATIONS FOR n u u + t + ut + t u ( ) u + -  F F F p t net J Ft Dp p v Ffc W K P N F u W t P F v D Ug gh c t u w F  I t tnet I  c   u w L p Iw K Iw w w + t q q + wt + t MECHANICS cceleton F foce f fequency h heght I ottonl net J pule K knetc enegy k png contnt length L ngul oentu N nol foce P powe p oentu u o tnce poton vecto T peo t te U potentl enegy u velocty o pee W wok one on yte poton coeffcent of fcton q ngle t toque w ngul pee ngul cceleton F U -k k p T w f T T p F U G G p p k g G - G - ˆ F ELECTRICITY AND MAGNETISM qq 4p E F q Q E A V E - q V 4p  U C C C E qv Q V k p A  C  C C I Q t qq 4p Uc QV CV R A E J I Neu A V R IR  R  R R P p IV F qv B M A e B gnetc fel C cpctnce tnce E electc fel e ef F foce I cuent J cuent enty L nuctnce length n nube of loop of we pe unt length N nube of chge ce pe unt volue P powe Q chge q pont chge R etnce tnce t te U potentl o toe enegy V electc potentl u velocty o pee etvty f gnetc flu k electc contnt B B I I 4p F I B B ni f B A e E - I e - L t UL LI f t --
4 ADVANCED PLACEMENT PHYSICS C EQUATIONS FOR n GEOMETRY AND TRIGONOMETRY CALCULUS Rectngle A bh Tngle A bh Ccle A p C p Plleleppe V wh Cylne V p S p + p Sphee 4 V p S 4p A e C ccufeence V volue S ufce e b be h heght length w wth u f f u u n n- ( ) n ( ) e e ( ln ) ( n ) ( co ) co - n n n+, n π - n + e e ln co n Rght Tngle n -co + b c nq coq c b c q c b 9 tnq b -4-
5 AP PHYSICS C: ELECTRICITY AND MAGNETISM FREE-RESPONSE QUESTIONS PHYSICS C: ELECTRICITY AND MAGNETISM SECTION II Te 45 nute Queton Decton: Anwe ll thee queton. The uggete te bout 5 nute fo nweng ech of the queton, whch e woth 5 pont ech. The pt wthn queton y not hve equl weght. Show ll you wok n the pnk booklet n the pce pove fte ech pt, NOT n th geen net. E&M.. A chge +Q unfoly tbute ove qute ccle of u R, hown bove. Pont A, B, n C e locte hown, wth A n C locte yetclly eltve to the -. Epe ll lgebc nwe n te of the gven quntte n funentl contnt. () Rnk the gntue of the electc potentl t pont A, B, n C fo getet to let, wth nube beng getet. If two pont hve the e potentl, gve the the e nkng. V A V B Jutfy you nkng. V C Pont P t the ogn, hown below, n the cente of cuvtue of the chge tbuton. The College Bo. Vt the College Bo on the Web: GO ON TO THE NEXT PAGE.
6 AP PHYSICS C: ELECTRICITY AND MAGNETISM FREE-RESPONSE QUESTIONS (b) Detene n epeon fo the electc potentl t pont P ue to the chge Q. (c) A potve pont chge q wth plce t pont P n elee fo et. Deve n epeon fo the pee of the pont chge when t vey f fo the ogn. () On the ot epeentng pont P below, ncte the ecton of the electc fel t pont P ue to the chge Q. (e) Deve n epeon fo the gntue of the electc fel t pont P. E&M.. In the ccut llutte bove, wtch S ntlly open n the bttey h been connecte fo long te. () Wht the tey-tte cuent though the ete? (b) Clculte the chge on the F cpcto. (c) Clculte the enegy toe n the 5. F cpcto. The wtch now cloe, n the ccut coe to new tey tte. () Clculte the tey-tte cuent though the bttey. (e) Clculte the fnl chge on the 5. F cpcto. (f) Clculte the enegy pte het n the 4 W eto n one nute once the ccut h eche tey tte. The College Bo. Vt the College Bo on the Web: GO ON TO THE NEXT PAGE.
7 AP PHYSICS C: ELECTRICITY AND MAGNETISM FREE-RESPONSE QUESTIONS E&M.. The long tght we llutte bove ce cuent I to the ght. The cuent ve wth te t ccong to the equton I I - Kt, whee I n K e potve contnt n I en potve thoughout the te peo of nteet. The botto of ectngul loop of we of wth b n heght locte tnce bove the long we, wth the long we n the plne of the loop hown. A lghtbulb wth etnce R connecte n the loop. Epe ll lgebc nwe n te of the gven quntte n funentl contnt. () Incte the ecton of the cuent n the loop. Clockwe Counteclockwe Jutfy you nwe. (b) Incte whethe the lghtbulb get bghte, get e, o ty the e bghtne ove the te peo of nteet. Get bghte Get e Ren the e Jutfy you nwe. (c) Detene the gnetc fel t t ue to the cuent n the long we t tnce fo the long we. () Deve n epeon fo the gnetc flu though the loop functon of te. (e) Deve n epeon fo the powe pte by the lghtbulb. END OF EXAM The College Bo. Vt the College Bo on the Web: -7-
AP Physics C: Mechanics
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