homework 10 - PH 132 SPRING 2005 "HOMEWORK # 10...

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Unformatted text preview: PH 132 SPRING 2005 "HOMEWORK # 10 Assigned: 03/21/05 Z ‘2'“ (2.60x1524n) (lg-OX”? (LEON) “2 (“N51 T*”“/*“> (I'm/4). -—-—- Eqflkl ..—--—--" B: final/IA; L w :24, M01 ' 0—2.. 22 I4! 50 SHEETS 22442 IOO SHEETS 22 144 200 SHEETS ,— . The magnetic flux through the loop shown in Fig. 31-33 hr creases according to the relation ‘15., = 6m2 + 7.0:, when: «1),; is inmilliwebeasandtisin seconds. (a)Wfia1tismemagnimdeoftbe emfinducedinmeloopwhenr= 10 s? (b)Wha.tisthedimcfion of finwmntthmugilk? ' @ganmw nub anal @ v2.05 b) gfl'reofim o‘F f I I I I .3: I O O I l l‘ I Indured «EMF and {.0133 law a) 12%“ Piaf fiféfiezfloé): Izw-ZO m m "@755: Wax‘wlhrmgh 1476 I/Mp f3 Mammy wry/l fibfi’,‘ 47m” M‘s fie a! :‘5 dwer 0m??? #1? page, as dmn :37 7%: $2ng Lama‘s Km: An :Muce/ cum} has aaémfifin Sud! P/w‘ffie may/Mt 79214 5% Me cur/m1- annexes W c1247; rh fie magma field #w‘ mducea’ #:c car/mt file- dmnge is an Ike/(Mrzgwafm 75 6PM 1%,; N W 61 @thk3 Mb #73 . m} 7%: 17' hi {1:41 mkfij/K Mamb aim fie A?“th of Farm. m p491.) M w my: am m Mme-{mm o1? Hie car/Mf c/odcw - “FEES pma’ace; a car/W flmfih 7‘16 wishr fimn' hi 4'0 kfi. ms. I wire 10013 “am 3 w L“ _ _ _ '..E~9;12g2.;13_“?°5“d_”- - . _ ii" if, at} of me page - mm mm: aooordmg to B = 0.0420 — 0.870;, mm B m lcslas and 1d w EUWWF>=ZOV B = 0. 09120-1 0.870;: a) 6-an I , 19) direcdfm - 01‘ Cu ms m!‘ 22 Id! 50 SHEETS 22442 100 SHil'l'S 22 144 200 SHEETS :50, H 1'5 mm +0 do par+ (why: ‘3‘ :3 0w} 0-? file page and Jeanna-71:6 induced came/d" an?! be :59 a dfrecéao 7’0 oppaseMrs. 1? (marks a waned: flea Mof Me pr- rm 1%: r" m WIrak, fie Mgfimxw direcfiaaa: Eb. '_ _._ 5°.» find (:5 cc @B=j§-dfi*=j3dn = BPr A Weep =1 ‘ t A Mr»:@ E "' "-5-: "_d @162 2 "ész’L-"Egzd 0 -— (Z Z a? Z flLOuZo 0.97015) = (2&5)‘(0.3701%> : /' 74V .2. O Pddfl 1 WWW! 74!: 50 SHEETS 22-142 100 SHEETS 22-!“ 200 SHEE'I’S 22441 @ I is beingpulledalong horizmml, fiictionless, conducting railsaxa - r' " Thcconductingmdshowninfig.m hasalengflaLand commt velocity v. The rails are conneded at one end‘wifla a metalsh-igAunifonumagneflc fieldB.directedm1tofmepagc, filmmmgimmwhichuwmdmmmnmcamL=lom 52/,27” v=5.0mis,andB= l.2T.(a)Wha1isd1cindueedemfinfl1e rod?(b)Whalisfllcwrrentinthcconductingloop?Aswmctlm. R: 0.4/1.0. lflmresistanoeofflwmdisflAOflandthalmcresistanccofflte railsandmflsuipisncgfigiblysmall.(c)AtwhatraIeisthca-mali : “)2. energybcinggmtedinmerodndlwmlforoemustbcap- pliedmflwmdbyanexmmalagenlmmainminimmotion?(e)Al , whaxralcdoesthisexmalagemdoworkonmemmCompam _lhis answer mmflnmswertom. a) a 05k ‘4' :3) lg G‘s-k o!- exskmal M) a) x’dfifancc of rod 6m aghmdmr rst €‘1‘I'1fi t. A=armdéopdfin¢6347r ' .éB: j§.dfis z -\ -. g, _. d J ‘ - I ' 22L / %}f 7.4;: 0:553”) = 54,323: BLv—=(fizr)(0./0m)(5«0“fs) 1:935 fie rod new, $3 mamas; 64 :bcrrm). rhduad EMF MW 0 we «us a my a mm M mo ms. -£.. 0.6m!” —-. I: R“ m” I'SAMS. e) E, = dw-‘Ez -d§"=/f%ldx =@x: Eff—X: F7)“:- (OJS’ N)(6‘;O"‘{s) :1“; ae f . . ‘ EH =8 6115133 $5 #3! Wind/4M ’3 W/M'fb Wrma/ngd. 50141413. [4w a-F IMMM £01215 Laggdmis Law, PomMS 349+ n __ : . ’ b .. H" I’m-31$" L. 37F. Twoimgwhesadimdapancmeqtulmflpanfid I .l , . mi.asinfig.30—S4.(a)8howmaxfl1cmgnimdeofme d, t. mgneticfiddalpointflwhichiseqtfidimfmmthemis . 2 ‘d gimby r £05 2 - Fmdi 3 B =fi4R?+‘dd')' # (2)5how B? "(Luanda (bnnwhmdhucamdoesnpaint? b)d;'fld5'm a-F 3P: T. d I—————R-——-—-P 22 I41 50 SHEETS 22-142 100 5" SETS 22-144 200 SHII‘I'S Mdflrm‘ic WeH due 40 a Long Qmfihf- wire ram,- look a—l Hie Mgncfit nerd due 16) each wire: 751:2 jig 1mg; dig-egg _, Use Jim- Ham! _. paw, pot/[+13 f?” 4\7 Mix” f \a‘wwé 1 ® I A'me a“r gfifbmf _ I ® . gar “lamb 1" m \ M“ Z /{ de'm affine Lament. , \‘5 W fingers aurh'n HM E " .‘ Y?» . JI'NQ‘IM 0“ . Applflmj Jim‘s 40 HR drajmw (B. and 32am arbmn'lg ckasen fir 1 il/Wafi‘m purpases) l Ear mi .3. we chose, #1212 is an - - em! and appease 32.11»: 3- . cam mom‘s Cancel am: a. Inf 5:: IBP 1h 44!: x—drrmfim. ’ 4N5. 12> Cb) = _ 4/2 BF le+Bzx- B; 0069+32CD56 = (314-61 )GOSQ 6059: 7 Era [m3] swam wire) 5:.- .30..6-’ P730) (From Frame) 0 06’? 0‘ __ 0* ‘0’ I d 1 894m :1) mama : ‘d -T——._.. .. ‘ a' * 4%(5‘4 :Rz)'“’2a°7§g(‘;q 4Ri+d= 2 1mm 50 SHEETS 21 Id! 100 SHIITS 22-144 200 SHII‘FS 22-141 6 m C CH50? P H 4GP. Figure 30-62:: shows a crass section of a hollow cylindfi- - cal conductor of radii a and b. carrying a uniformly distributed Ampere: a.) as Anme Law: @E-dg 3M,” §§£* §Bdscn§’* 5% anr‘ 5m {be carrcnj' .T (3%,) a‘: ems)? l I d? = 8211?: i013 mak {his ilgaph) we m'llnfwf 30*) current i. (a) Show that B{r) forth: range I: < r < a is given by “a; ,2 _ b: B=2flaz-b1} r ' lb) Show that when r = a, dfisequatiun gives the magnetic field magnitude 8 for a long straight wire; when r = b. it gives zero magnetic field; and whenb = 0, it givesdtcmagnetic field inside a solid conductor. (1:) Assumathata = lOcmb = 1.8 cm,and i=100A.nndplotB(r)fol-merange0<r<6cm MM we ha: {a M w. f5 Mlbgflfi ) ‘ :L 6 no \ 1%:ka q? 46m ' uflgzr 2via“) (a 1"19“) __ L 3—” IMF-b9 Show: a) 302.35. (5:? . ' mazfiz TEE! ’gl‘Vfl/lf d=20w [0: I36»: 5 = MM ' b) r-u: 504: A29 9-11?“ r-b: BU) ='0 b‘O'. : Ba) 1 J lama r 9?. 30-6 C) Plat 30') fir mar-4&3“. Mk am place our!) rhW=b<rka M an Mint ds‘and Ear: circle. £n(r’-—b‘) : 8(r1—b‘) n. a ‘-b 7-) 2.491) Carrenhh a wire. ekeaées mtgaefilc 92H (the: HM! Arr drubr loops. my: {on a! one 04 “we 3'36 (in: :h #19 {P (am?! (if err Watm 36") when 13:0: %3 1%% m'sfsflc mafndft 1522916deer . 0- ")d: anr=fla§u '4‘pr 317 _ £3; 56")- EW. 1.0 .5 rah: Bzflrf/(fiq'm :0 {or Mb 4nd rm. K 50 5mm 22 142 "10 SHEETS 22-144 200 SHEETS 22-h“ @ 47F. Figurc30-62b showsamsssecliunofalongomducmrof atypccalledaooaxial cableand gives itsradii (a,b.c). Equalbut opposite currents i are unifonnly distributed in the two conduc- tors.Defivcexpmssions forB(r}infl:cranges(a}r<c.(b)c< r<b.(c}b<r<a.and(d)r)a.(e)Testthesccxpmssions forallmcsimialcasesthalowflmyom(f)msumm a=2.0ctn.b== i.8¢m..c =0.40cm,andi= lZOAandplot thefixnclionfir)owrtherangc04r<3an. W20“: ,b=L3m,C=O.'4w etadand oppqsl'ab Current) (>12 0A a) 5(r<c) b) scarab) I c.) [3090-41) 00 B (r >41) . C)Spac1'a,/ Case; 9-: Bk) 0PM- Bfr) fir ocV'ésom. 5:2 ma 5mm +0 Gaza-426?. PM an Wan kept?) ego/raffle I refliim 6F fry-Eris}: . C“ . Flhd (:9 2 I=-"'-,_= —~;t‘a.¢=_l" a) ; "a IT!" Cl (c ré’l 5‘5; :- ‘ ctr-<19: .' . J1, L- , i f) —» Am. o T ' i' . 5 .0 | _ I. n ' . : {Zr-L Ea) bzrza- Ban—Jaocm PM 9»; -' ‘négm‘ nézbt)”“"‘ ' a 3%, ‘_. [CF—Io“) é . _ ' Fdzibt) E B b‘ t A? E -£'(rz-b'-) = A9; F ((3539:) = a,“ z_ z- z I. * ( “‘3‘ 2nr[ dzfi‘] mrp (01421)] 2%?!- d b r +b] (firm: BerrvlloQM‘=/Ll.(r'-L‘)= C9 “’7' 5m“ 45: median: I has. 9"" ‘W’m 0mm gym. I: :3)5p9a}11 C4511 ' r=a I'M B(bcrm.)= O 5 ~50 BCF>M1)=O (S 4708. r :51 . (song! Cab/e.)= in Bin-c3 = Axis. RM 2176' E I I.“ 5620410): J; ' I'n B(b&r¢a):yffj'j-@272M 9th! ...
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This note was uploaded on 11/04/2009 for the course PHYSICS PH13100 taught by Professor Dr.wick during the Spring '09 term at Clarkson University .

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homework 10 - PH 132 SPRING 2005 &amp;quot;HOMEWORK # 10...

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