RealExam3Sol0 - Principles of Physics II PHYS 2212-161}...

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Unformatted text preview: Principles of Physics II PHYS 2212-161} Exam #3 Fall 2011 f . “mam You may use the values k = ss-taxlo9 N meet, so = 3.35::1tr'2c9oqm2 , at, = auxin-Twat, and e = Laoxio'” C. You must show all ofyour work for full credit. {Except for Questions 1 — 4.] For Questions #1 — 4, there is a uniform magnetic field pointing downward as shown, with the particles a - d having the velocit}.r directions as shown here. B field B field 1. (5 points} If particle “a” is a proton, what is the direction of the magnetic force acting on it? at at ea 2. {5 points) If particle “11" is a electron, what is the direction of the magnetic force acting on it?I at at fee 3. {5 points) If particle “c” is an protom what is the direction of the magnetic force acting on it? at at 4. (5 points) If particle “d” is an electron, what is the direction of the magnetic force acting on it? at at ea .»"'\ '3) —" d) ‘— ';_g} there is no force EH?) '3) ‘—"' d) ‘— g} there is no force E}@ c} —I- «l— e] G) g) there is no force ea c} -~+ r' e} (i) g) there is no force 5. (ID points) A SJJEIT magnetic field points at an angle of 25.12)” to the right of the {fl—axis. What is the magnetic force vector acting on a 4.flt}mC charge that is moving at 4.5flx103mi’s at an angle of lfl.fi° below the (x) axis (:1: “PIE. : Flair; Haw. 51'. __ __ I L :1 PM [H ' --- ‘ -' «a ': U a” """ l- -- '_ a; Fm;- :{_L;.x Hr; ~’-..}(ht 't- : }-__ ,1...- 1;.. I If)” H -x , ..-" _-_. _ 'I_ j: I_._. L 1 _. : :I' _-' 4.x}. f- '- Fr: _ j- . I H "- 15. 'Hi' a.._ If; '- ~'- .- I-IIJ'H. _ ‘ J If! Kn a _._ 6. (15 points) At a certain instant of time a 'cle with charge q = 4.5fimt3 is located at the point (x, y} = (t), 3.25m} and its velocity is it = (EDIE-alt} nits) i . Find the magnetic field vector at the origin due to this charge. a, A t . . .a. : Putt Err-t. _. _- L .. -i.._. W'w- . i. r E can ’_ L t J " ._ J __,_._ 3'“ -\ alt " rt HIV-13:» Fl] v. 1 {:TJ- I“. _ 1 am“ Exit! :LL- .p- 1 mm sL '44" L _"..':~.r"'£"'."“: 4:60 - J “ft tiem‘ t ' I i —— . _ «_ . .. r _ - -- r “3" " It 1:451:11“ IT-s e¢f_etf 1:29 _ _ _ .. ____._._ _ _ J T. {it} points) A TEST magnetic field paints alcng the x—axis. What is the fcrce vectcr exerted by this field on a Zilflcm-lcng wire with a 4.5flA current that is pcinted at an angle of lit)” to the right of the y- am' 63: ‘ciitfi‘i-W“: w: 6‘" . m . mi - i In.” 1' ' J‘: [it-Meats '. .. l .. -r..,: f _, taiJ'fiii [Jeti'uxm' r“ 1'3]; H '” “If-“‘- i-LD' fl _ _- "\ .. - t: r r is Hr : ,L." _ 1w. 1' — -" l U :-— is. {Li t'-- z'. - .1 t Jeri: a; __ s I. t. - “- _ .. _ {'Iflfi._.n x I‘LH :14- L" 8. (15 points) A wire terms a square in the )t-y plane, of side 25.11am . It has a 3.2m current in a ccnrrterclccktsrise direction. What is the magnetic field caused by this current at the center cf the square?I ._ I4 tr? stir-fie min... a I. _ .2. “1' 1,; : ..__-_'*-t., L rm (35stth :2 sin ti - we Lament—-=-—*~~iwaert? L1]. r! L- L. ll Lim ""‘ ; List-it"i—T—t th It '— iii-rm i“‘-i.t’.- iii—{'Lif'it II“: I 9. (15 points} A magnetic field points out of the page as shown. A circular loop lies inthe plane of the page. In soc seconds, the magnitude of the magnetic field increases from 4.{lflT to Til-[112 while the radius of the loop decreases from liflcm to llflcm . What is the magnitude and direction of the ' 9 InduaPedEME a ___ .M p ____‘ .‘I-‘W F (in; _ Q a e a ¢_ 2 Z (LItJL'fiAV .: [p] 4“); it. a- L L ' l 1:115!” “(Cg .atfi‘gktt: Cg] ,3 Era) E, fl- : it! {i i u" e- .— "3- __ L - r- z: 3 rd,‘ -"" thj- E) E! l__.. “ -—""": - ....... _.__..-:.___: firvt’ £11 :3 E} E) G} E) - * ' Cm" . . 3‘; rain leht flat llkht l~lT‘Lf’JflL‘-a -U-.. 5.1—“) .. I I I? ” L’pfi'ls 13,1. in £an teal _ t'—: It}. (15 points} A small current element 1 dl , with til = lflflrnrn fl and I= 1.2515... is centered at the origin. Find the magnetic field dB due to this current element at the point (x, y] = (3.00111, 4.{ltlm). ' - a“ ,-'t“.‘ iii—"h Cl-lt.:J-.ET lit-Lax L: ) If J- t of: I I t _3 __ -"'\ : . at. ‘1__q “kit II E — 15s, Him I er- “ r " {ct-w “l "r.'\ l‘ a J .r :-.H1 .n‘: Lift-[1 1 Ln. _ L [c t." a I. i... : -1 ‘ A + _ a: ___ ’- [ILL-L .fJLL ‘-x ‘ -.- a‘ \‘l ' [Ix "13."!- 2“ I. .- \ 'F r t 'K t (‘4 r1 J .fk. . Iii f. tighz'FL III-fix); flatly it. A N __ -a—- L _. .I D i, _C t iffit‘” L pm 1 #1:}. fl NLL jifi H) * ll” - fl (:51: l‘ "-1— F ‘ ti :) M. at t g, t .. _. J ...
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RealExam3Sol0 - Principles of Physics II PHYS 2212-161}...

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