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Unformatted text preview: Exam 2 . . __ . Physigsj'zaéil . November 1. Please print yourname onthetop edgeofthe opscsn sheet. SsIUm“ ‘ Can‘tﬁﬁ"
2. Use a #2 pencil to ﬁll in your full name. your student identiﬁcation number, your recitation division number, and ﬁnally the answers for problems 1—12.
3. One (both sides) 3 112" x 11“ one sheet is allowed. It must he handwritten. Useﬁil equations and constants: slimy—W3" Jﬁﬁ=ﬂ.fm qusxﬁ F=f§xﬁ s=sxﬁ p=NiA £=”°"‘= ds=Bvdf N¢,=L: E 211:!
.. d9 d¢
i! ‘5" m 3 d! at
HE =_;_CV2 V=£ﬂ_e~rue} =%e+use q=qﬂe use
1  s _ 1
mint V=s(1—e M) =Ec e M) me: E
, i 1 R‘ 1
m = Eﬂ=iﬂz z: R1+(XL_XC)1 XL=ﬂ1L XE=E
main—i—EX 'X "=1 3? met hi 3?
R 2 Z poo 2
' . C1
p0 =4srx10" Tmi'A so =8.85x10'" 2
Ntm e=1.6x10'“c mP=L67>t1lTﬂkg
Mammal“ manomm" “maman FatMA 13 pages total 1 A circuit for charging a capacth is shown below. The awitch is thmwn to position A at H). The circuit has BIEIIIEHIS a=12V, R=lﬂﬂ ﬂ and C=IUﬂF. How
long does it take for the capacitor to ha chargad to 99.9 percant afita ﬁnal
charga'? EﬁﬂMR—L [:29 aim32 on mpqrutm‘ La fit1'
L¢+ {:1th than}! on :upucmar L: f": C at: w t «r w u
I I, is; 3m  =7 w as w = we * “FrJ (a) m3 tYuwHﬂpl 4wa $115] Hf”? a caracl‘hﬂf‘ a) = I“ EtXT¢ é a'tm  :—,qq°f=,aul
3; H4711: In LON)
=9 1; : _ an Intam) = —Rr.ln(.nol) r'e'r.
= '(m £2)(tano“F) “two =
. a? [E 13 pages total 2 A particle of unknown :11ng q and unhicam mass m moves at a speed F4.8><106 mfa
in the +xdireetien inte a region cf'eenstant magnetic ﬁeld. The ﬁeld has magnitude
B=EL5 T and is orientated in the +y~directicn. The particle is deﬂected in the 42
direetien and traces cut a fragment of a circle of radius R=i}.ln1. What is the sign of the
charge and what is its ratio of grin? {a} Neutral, qu=D A d! .. A B
{h} NasaﬁvejquﬁﬁxmBCIKE JUNE lamaH m ft?! in F I it”;
{c} Positive, q!m=1.4x10’3C!Kg 1? m“ 9'” "'1: In“' " 2 mm In M
{a} Negative, qhn=9.ﬁxli}"' (3ng  "‘
n = ? {53' Far 1: urfitle mom «1* mum?
{e} Poalttve,qu 9.6x10 (3ng {feed f; m it ML} of Mm El
1' a teamreral ﬁtte’ahd‘i‘lﬂh It
'1‘: 1)" This 1].: manure“! 'Forlc" 1i
FL: Mac: mug“ . R ._..
The eel; {one antic) on 'Ile. reﬁt]: a 1L me "he. farm F in “"5
mast Inav'ﬁ _ '  f B)
5:: [FBI. I1unﬂlf'131‘F’: WEEJim $9
milr“ w B '
T1“ :1, I a;
ﬂ .. I * Er= t' 3“ "a '
e R 7W3 "P m “ as t: m](.5T} “
loom”! 13 pages total 3 A leap of wire carrying :1 went has a magnetic dipole moment y. =5x10’4 Amz.
Itﬁtially, the vector pt makes an angle efﬁﬂ” with a [1.5 T magnetic. ﬁeld. As it turns
te heeeme aligned with the ﬁeld, the work done by the ﬁeld is: 3 ft}! h “I E. I‘l‘I g u 'I'I'IH I'lﬁ'HL J; I; It]. "I u n"; hfhr,
£9 h Ir 'l'l y 1 Pa .1 3 A
F “I!” E u! a Eur:de i1: my}! 9 ktwnn M and B It Ufﬂ}=Faiﬁ=  eel E (c) 4.5mm] eu  LLF ut. = utw my): (a 4135313“)  (‘413 w JP»? ﬂ {1 1.0Xlﬂ'4l F, ' E
E3; 4.0).:1041 Let hinge” he 111: Hart Jun k1§incui
W =ﬁKE=‘ﬂPE=ﬁu=" {“B)=#B 529'“ 1‘ ’\ ‘= {Ellatr ﬂ~in‘)(.5 T): NHL EJHE'HL Co
“ﬂrw‘huu 5F
“a?! “WWII; 9197/: dkﬁdﬁgga 5"? E 13 pages tetal 4 Calculate the magnitude of the magnetic ﬁeld at the point C=(ﬂ,ﬂ) for the current loop show below. The loop eonsiete of tore straight portions and a eireular are of
radius R, which euhtends an angle ﬂ=11f2 at the center of the are. Ignore the contribution of the current in the short ares near the origin (Ml). Ne comalivva +n E{Ielcl #1" C clue +9 «H5
do“ '15on Jule:11; maul or am; 'From C103. ®,51me (if: F :0 ‘1
“IF E EtﬂSqulr'l' LitF D 5 IE: 4:51 em .5 r “I? Mr I” ‘ D .,. I  q J ' i  i ﬁ i  F C x
{a} Hammett} Only an Ci) camelM +v '34:“ a" f
(b) Home) . "I I n
{e} B=MtBRJ A? 45.1.; wield?! “a?” (:1) Batman)
(e) Emma) 13 pages total 5 Two parallel inﬁnite wires ItI cm apart carry currents cf 2A and 4A tresptcctivelyr in
the same direction. The force per unit length in Him cf one wire on the ether is: \
“we (a / WWI (I)
l _ . g. 6. “a {a} 1 x1ﬂ‘3 Ntttt tepulstve 11" r ‘1 t——t *
(b) lxlﬂ‘3 term attractive l J /
(c) 4x 10'5 Nfrn repulsive \ /
{cl} 4xlﬂ'5 Nt'm attractive "t a“ .__ ...r"
(e) Ncne cf these u i Lekii 1,: q secHen 9i: wire In fit: same Ditﬂl‘l‘m’l “1 1"" wwcnit ﬂ.” semen It“ icv‘hlt Iflﬁf,
Tine Fatts cut via: tunes I5
EHIEHFB‘.
Slutc T PM” cut oi +1.1 pure anti tit: EielJ Justu mrc (D Peru“ «intent tn Ilse Pallf’ﬂh a": we @1 in? ram“ {to 11¢ ﬂying
se a: $1313. Pomn “HI tile. “'71.? anal Lame +iut {am t5ﬂ'l'l'1‘src'l‘WE.
IE]: fflfggi= £1 Irv. .3. mill}?
“’5': # 1N
attains W I" n
F uni, it; ~ ' '1Il‘
2t Ft: mutt! 4 cs! F in t H? _ I
.L:  _ ‘IFKM L2 mats) r5 N
‘5? if :l‘dt " 1 t Q—slﬂ Tn J, 2“ lLu‘ n‘H‘qufl'ﬂ'ﬁ 13 pages total 6 A long straight wire {radius 11 3mm) carries a constant current distributed
uniformly over a cross section perpendicular to the axis of the wire. If the current
density is j===lIllllil'llll'rn2 in the —s direction, what is the magnitude and direction of
the magnetic ﬁeld B at the point P located 2 mm from the axis of the wire along
the xaxis? (Note that the +2 axis points out of the page). F? Deﬁne an grocerInn leaf C. Forum] flat”.
I the ranIr of" WI'HLL we want? 7'9 “my”: F3 t'm leer I...“ I‘m . Molt“ Patron. 3" (a) 2x lﬂ" T in the +ydirection (b) 2x111?3 T in the —3rdircction {c} l.3:~<lt:r1r T in the +y~direction (d) 1.3xltlt'1f T in the —y—direction T L
(e) None of these : ttanan!“ Eht‘mJ IL: “ﬁn“ﬂy. I} rim, =j (ares elitism. 3mm“ Inf)
. "1. I‘ = J11?“ Bf Hmperéi L'W ""  ' ~ :3“ [Qtcl
ties = “(E = tar“ ' 1
‘—w" a, BusMar: “‘st , u o em: ﬂail?"  {a}: = lam!!!” WNW 5.“ Karl's)
B or!“ ' 1 1 It.
inmate arsenal C W TL: Jtricfl‘ﬂ'ﬂ 5': it“ P H ‘Fﬁﬂl’l’ y u “7101th “.19.. It‘ll" For” Jun} u. Jlmtlen oi current [into first), tile1 Fiver} curl [a direction dF in Particular1 the.
E‘ni“ Punt! Jottr (I.E_ in 1:11 'y dlﬂc'hnn) d? P. M13 13 pages total 'l' Two long solenoids (radii 2t] mm and 3t] mm respectively} entry the earne
current I, ﬂowing in opposite directions. The smaller solenoid is mounted
inside the larger, along a common axle. It is observed that there is a zero
magnetic ﬁeld within the inner solenoid. Therefore the inner solenoid must have X times as many turns per unit length on the outer solenoid, where X is: Let‘ the outer toleneltl Lave: curronf if +urn5 n
(a) 1 ""“"‘lfll '
(b) 4!? end lat 1'ch ll‘l'ﬂﬂr‘ “Ln'lJ limit: curIn“? Ill (a) 233 ’ e 3:: Kim” n‘ e T
l‘“ “tilde the Inner solenoid; «the Fired... clue“ +l'¢ "l"
solenoids Illﬂ. B.=u.i,h,
H
ignorant The met qunem {acid It here line, when: .1 u .
llall=lBll J Le. “ehntlwlhna 2;. entrain—gm e, E cm 15 are
ﬁtted (y eirumrﬂen 13 pages total 8 A square loop ofwire measuring 12 cm hy12 cm has a battery ofcmf4 V and
a lﬂ Ohm resistor. A uniform magnetic ﬁcld B points out of thc page and is
dccrcasing in magnitude at tho ratc of 15!} Tfs . The current in thc circuit is: , “cinch; “on 11:” bile hﬂl n = ﬂﬂ a ..
R I .4 Ear; 3.41;: awcsw‘
III “HM cheL
'77 "'r
W =12 om
1 . HE J E “1'? ac= *ch .) = 5!— ca: cc
T ' r at
lit:
1 Incitich when?
(s) cc: A, clockwise HM“: lmiumJ cui E“;
(b) $.22 A, clockwise W;
(o) [LE2 A, counterclockwise I
(c) 11.22 A, counterclockwise : c N g
(c) {1 A ___._R.... {h Finri cilrec'non a? thﬂtﬁJ curfew} “1M! Loaf; [out
if! i Wﬂi “We 33? ‘ﬁwl‘ J, uni. “Hm Tc c c TL! Elm e In “can, we mm.
1'0 Elﬁn Kc NH Jo Jo L), s E”? cit! n? I“ “if JIM ﬂllrecﬁﬂn c5111: erymoi ﬁ‘ﬁe”)
3:22 Riol; languid“ PM" 4mm" in Amman oi imiou E41.” [ﬂur J ’1”): cl...“ chm cur} n. «irrerhon a? [mi:ch curl“!an Lt. ccuoﬁrclocimue. 5 In mumcm 'ro 11¢ I Haul cuﬁﬂlﬂ,fiwro is «im +II£ current Joe 1'0 ‘4! ~ ~ 'I v
I Wm»? lccf eruﬂno‘. tcﬂtﬂ z”) I=E=h=*‘ﬁi
1" Ir counﬂrdﬂjmut x
" + i. 13 pagcc total 9 mi
11. h corn11 = .11 ﬂ) mmcrciccimue + it, ﬁlmumnlmmg in n,
“chronicle...” '‘> The ﬁgure below shows a circuit that contains tiuee identical mistors with
resistance R = 9 ﬂ , two identical inductors with inductance L = 2J0 M and
an ideal batman3.:r with omfe 13v. What is the current i through tho battery
just after the switch is closed? What is the current i through the batter],Ir a
long time after the switch has been closed? just After a longtime after
(a) 3 A 2 A
(b) *5 A 6 A
(c) 2 A 2 A
(d) 6 A 2 A
(13) 2 A 6 A. 7w: ugh: (uncle. 1; aiIJEJ} CUFFIH+ 1’th “CL l‘ﬂJlIthr' ‘5 *Erﬂ (lltﬂlﬂe tﬂfﬂh‘i’ fiw hob Imiudw we: ﬁne before trite lair}th m1 ﬂuid, and Ihtiuc‘l'll” Jan‘l ail'm +Le curmf +1.” film in chef InmntanﬂIy). Thu Me an refine eat]. mtiuetor thL an «arm elrculf; 5mm Eiuffaj if, h ink“! ‘ u the current tbru 1L: ShirkL. “Him?
I Ivor ttﬂlﬁohl E..¢:R=a 5w MIML u elem}, turner1' the: en]. I: conflian “J ,1“!ng
(Ly EL='1$)J+L¢ whey! unrest WL Inoioe‘iﬂ‘l’ a earnJ so we Me; a; will Peffgu “cl. Imlue‘tﬂr‘ URL 0: Myth “WEI .._—II— gLﬂﬂ
e a => t”. “*1 fidﬁ 3;: 3 a ET leoP larvahon: E _,E 861:0
£5": L¢E—=3_£:3!IEI!_
R“! #3 R [Q'@
13pageetotal 10 1G. 1‘7 A long straight wire is in the plane of a rectangular conducting loop.
The straight wire carries a constant current 1', as shown below. While the
wire is being moved toward the rectangle, the current in the rectangular
loop is: his (3) g; mares”? (a) Zero
(h) lClockwise (c) CounterclockwiSe
(d) Clockwise on the left side and counterclockwise on the right side
(e) Counterclockwise on the left side and clockwise on the right side 8)! 1“?qu haul “.33 (LE. Pour}? fhuml m (.lIPQE'l‘l‘On oi: {omenr} gmjm
turl m Jurﬁchon ol' #1.; E—Elclcl Fom‘II mm YLQ Faye w
flag rifle oi ﬁle wire, Srnre flu: turpo r5 Lem} mama} 11;.me 11c lump 3 the ﬁfttlnl m Hlle Position cl: ‘lrlne “of IS $th Stroyer
and "rims +1.6 mu/qmrucle J the majnehe lluit tullm thelu‘aurlriiliii'ﬂllJ LS muemlhju lens's st the induced turns11 {rlows m a directrori .50 95 M ﬂpfﬂje "Mime elaonjﬂ In Since .5 maturity mill: 'Hn'leJ A we. can opyose {LIE Junie weqhemnj 3 “H1 Le
wEnlLEHEJ ﬁlmle 1):: IHJJOQJ 3‘Fielcl Pom? In file ofFonhz elrruf’dq 1‘1: hlie 04*?an E'ﬁcld, he. our is firth By shawl3r Hill" limit) Mlle [Pallan jlmmt l" J’Wtfm’l HF '“JME'J E'ﬁfulgnjer‘i Wr‘l m rlie ollrer‘lim 15F '"l't thduceol Wﬂ'r we 'F J 4w L .
a” )13 psgdis total l a mural “We” 1“will: 11. Consider hare parallel infinite wins, cne carrying a current cf 5 A cut at” the page, the
ether can}ng a current of 5 A late the page. The point P is located such that if a line
were drawn from P be each wire, then these lines would subtend an angle ef9ﬂ' degrees, as
shown helcw. Furthermore, the point P is at a distance d ﬁcm each wire. What is the
directicn cf the magnetic ﬁeld at the point P? 5 A, inte the page 5 A, cut cf the page {a} UP
(b) Down
(c) Left
(a) Right (e) Intc the page her ninjach: {mini Pointr I
a IE 13 pages total 1'2 11 A metal rod is forced to move 1saith constant velocity it along two parallel metal rails,
connected with a strip of metal at one end, as shown in the ﬁgure below. A magnetic ﬁeld
B  {1.5 T points out of the page. If the rails are separated by L = 212} cm and the speed of
the rod is v = 10 cmfs, what is the emf generated? If the rod has a resistance of 5 ohms
and the rails and comector have negligible resistance, what is the current I in the red“? I I I I I I I I {a} emf=0ﬂ$ V, Iﬂﬂﬂl A
{b} ernf=0.£2 v.1o.oo4 A
(c) erni'=0.ﬂl V, I=t}.ﬂ A
{d} emf=U.DI V, Iﬂﬂﬂm A
{e} emﬁﬂ V, Irﬂ A Let s : Juteice e? NJ ﬂora Milie tutti.
i. Final manger. {lg}. +Lw leer: EB I“ I §,J]'=1§ [am HIth latest) = 1m Lx
* emu. elatiost
Ibr Ll It oF turns. N1! 1"
= . (.5 The: not.» Mo) = — .0! v
'
3 Moynﬂ‘vdt oi: mJuceJ current '5 = _ g M .'.."
(IIH’ “I'Ifﬂﬂﬁg R S Q
“W hop in LE] 13 pages total 13 ...
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This note was uploaded on 04/27/2011 for the course PHYS 241 taught by Professor Wei during the Spring '08 term at Purdue.
 Spring '08
 Wei

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