Exam 2 Spring 2001 - Physics 171.102 Exam 2 Prof Barnett...

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Unformatted text preview: Physics 171.102 Exam 2 April 17, 2001 Prof. Barnett SbbUTfiaxdfii E Write your TA’s name and your name on each blue book. Write everything in ink. You may utilize material writtenon both sides of ONE 3” x5” index card. 1. Consider the two wires in the adjacent 2 I Jag T drawing, one a long straight wire aligned 7/ d: IO 0L along the “y” direction and the other a circular wire loop positioned above the ‘ l straight wire with its axis aligned along 5;” o P the “x” direction. Each carries a current P053637 I of “I” amps. The circular loop has a radius of “a” meters. Its center is a distance of d=10a from the straight wire. The direction of the current in the loop is clockwise as shown in the figure. A) (10 pts) What is the magnetic field, Emmy)”, of the straight wire at the center of the circular loop? Include the magnitude and direction. 5‘13- F. PK?) #4 Phi“? 20.11 5? at}?! Q“ (3‘24; M ~23 it». : f . *5? " m, I Biotirwfif» § (“WW “I; {5 $8” d‘f‘ *’ N” PEUC;L<T‘$€3‘€$ OLMM 9%”? "m A ”" .. “to C}, 5‘"? «:3 B :3‘ fit,» ‘1: J: Mg“; u I :9 = {:13— L _'V /:’u ,1... 2.4 P C21 U T” 1%.. afid Larva», was an?” gym a?“ a —-o B) (10 pts) What is the magnetic field, B1007], of the Wire 100p at the center of the loop? Include the magnitude and direction. “SEE Examine: 20»? Page (in? A A i 4 £16“ eMo 2 Q,» BJcT- 554th} Law: 13: No I )h L“: : M I 3: L wrr V’ ‘1" at ' E- -24 I A .1 . ‘ \ to l. G porrvi‘s ail/TC) Th? PM?. 20-. C) (5 pts) Is the orientation of the loop a stable equilibrium relative to rotations about the , vertical axis, i.e. if it is rotated slightly will it return to this original position? Explain your thinking qualitatively. SEVZ gees: "2,9,3“ stew-\GN liq 220.3? flux/d. “20.16 . . _ \ Ai‘b Th? Fine LooF‘S mfi-grverm mmeur {30"“1‘5 ”2‘: The ‘ f \ ‘ PI/YSQ’ o .1? Fifi-9M The W‘R'e pn)r\r‘f CUTao/ZVT liw’ page .. E'q 1mm. saws- TM“: “”1”"? m ’ ‘0 we saw: Ashanti/81v» ow? LegxfikwfiNH ( “—3- R‘OTF’LTQ' EQ 2.001% l'S PE—ZMN " B (2 D) (5 pts) Is there either an attractive or repulsive force between the straight wire and the loop? If “Yes”, then which? Explain your thinking qualitatively. T“? We“) PfiwMTME hoe? ‘POI'NT‘S F’vr 937 the. Pkg? Ia—x~ The 5T)e/\~n9c‘~r Mil/L?» This 31"?! A —\ QQ’ZQQ 1/15,? F; -= I 5‘de? d)fl‘?QTC_L T‘OW/SKD Th? -;_2 Ala’tegrxéapni coop Fran/é, Uvuae Revel—L quk «ark en. E) (10 pts) If the loop is unrestrained and is allowed to rotate about the vertical axis or move towards or away from the straight wire (whatever it wants to do) will the current in the loop change? If “Yes”, will it get larger or smaller relative to the clockwise direction for the rotation? Will it get larger or smaller relative to the clockwise direction for the translation? Explain your thinking qualitatively. IF The Loop awé. wine vag necavwe r-o <2:va {+NOTK {.2 Th e ‘2va FP-«om m e Wlk‘é 1“““V3 ‘V The you? u‘uLL Chl’vN36 =3 ~CHIS/(H: $0 0 Tm} UJILK uvdvciz 9N SHAQ In} We coo]? HS d«8<@;b?é ”L, 5907‘\~5‘Q ‘lel . ng 2&2 SAYS \‘ \ ~ “’ 2 a d Fri-UdA—y‘J ’“dVCF‘A {’M~ S b 4% ‘P/dt: LPN”. cuos'aé PH?“ Alas/2'5 LR—w tsewm'w ‘2L1) SHYJ The /a\/dJce¢ ownepwr orpmse: We chflwge 6P FLVX» \ Foil. J’uoTBNohu The 13—wa Thrust/scythe tumgrpguvn GUT \a [F T‘h$ tom? 1-07)}ng Thu” FLUX UJka decathSQ. was Maize-ed SVKfL‘emTheyfe‘fT‘fl‘Q W” T” We 3 “M“ “f: < mica alk‘echL-sw) Iv3((p "PM? L‘OQP. k§ [:‘E‘Q t‘u/Lflqwxx Mus? 30 CouwpngLuQKc. i :bT‘he mwjmx'ruip OP (vilivnehr'r‘ 3093, iQWV $061 TMNJLfiT‘m‘m/j We van? \ 1 31 Ly mg WlK—Rh .‘L\ 2LT Mov. .‘ ’ Hyrfiv 509} iqu. ,,", Ajfinv HM Jfl/{V‘Cfiflfb ”We (QVWT‘QYL (Lofkwif'fi 12': ”rwz Van? KATA‘T—Qj’ qogaew 3'39} IN A sxmevm‘uw., :5 we M/sjlw‘fuafe 0'1 ‘f‘i‘ QuicKDN—K‘ .‘rv The 0.ch mesa siIK‘ECT'Orv 3095" dowyvu Wfi_—~w -- ’ K993? ’JYLCIVQEM ZG‘W ilVS'fJKfia PhiS PREBCGM‘ 2. An ac independent voltage source described by (20.0 V) cos[(1007r rad/sec)t] is connected to a 50 mH inductor as shown. 39* We}? flame-M 223 3? A) (10 pts) What is the impedance of the inductor? Z : (u; L: 4' 5'1)’ ohm; 1., B) (10 pts) What is the peak value of the current through the inductor? I W \V t: "LOwap! ,2 i . j Mml" mam/3‘ my” ow“ fl, (Armpit C) (10 pts) At what time t Z 0 seconds does the current in the inductor reach its first maximum? fit): [EL $,,‘u(wt) 33> f’Qqq AV “2": 0am?! 56C, 3. A converging lens with a focal length of 10 cm and a mirror of unknown curvature are located 30 cm apart as shown in the 4“”. n,,..__wy, adjacent drawing. Parallel light rays, from é ' an object infinitely far away to the left of 5 W" + the lens, enter the lens as indicated. The W #M__+ final image of the entire system is located EX’IT 33V?) at +00 to the right of the lens so the rays Rfi"‘t"$ exit the system as a parallel beam going I’ve g “(”3 out to the left. RATS A) (12 pts) Draw a ray tracing for the case of a convex mirror and another for the case of a concave mirror. Determine whether the mirror should be convex or concave to give the situation described in this problem. XNQ x) Mirna \2 RAYS The RAY? Oil/€113? FMM me Cor/V9“ MIRKDJL lama CflN' Ive"? PM¢UCQ OUR 60: {Its é; E‘s/UHF} Pflr’éflLLPL (gamma B) (6 pts) Is the final image real or virtual? Th? Fifi/ea ”Wine is Sit/(“N [N we yMBcfim STRremelvw— r0 be H—T 400° we RA-Yj Nm’e" 5’9"? marge T‘hfl-N 3a cw“ )DJ‘P‘JT‘ 1‘3"? LQNS. 'T‘he 114—3” at} (vex- 9???“ +00. h"‘ T'he [MAS-e (3' VIICZTV‘AL‘ C) (12 pts) Determine the radius of curvature and focal distance for the mirror. The 134$¥BE Loflmcé by The Lem/c IS HT The Lewr 90cm perm, LO Cm Ir‘v FMAH‘ 0'; Th? MfKKBK, The M)/ZIZIOJ(, MVH‘ F-ocvs The RAYS BJAck’ "Pb Tm? SAM“? pain}? Nu oflé—em 1‘5 (9:012. The Mind N Pyzadg‘e 1:; Past/{,4 Lk9L beam n Thus} The Object mm (My? +061th MII’QKOK Fine 2,9 (M Le-qCT‘ UF- I‘M? WHKKPfi‘ R FQK The MI()lYL’QIK ('1‘ SQUNG 12mm .1. + i z E le'f‘im 5:: 'LDQ/n') I I S’V'ex? ‘\ + —- : — $ “ZOM~10Q~‘j{ “. ’. ‘_ G faLc or: The RAY: lair rhe '44))?ka v i\-v& bowsVCi’ S'ViaqiaVT )bQQK. HT Qagdutrgewr RV3£€ The P-ucfln POI/V“ The (P‘NTQJL or; Wyn—MM , -~ -»9~—————~M-~~-—--M Th’g 1‘: RN QHHEJ: veerQrv or— [flabbrem G 23674, 891139 (0??0 ...
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