ph132s04_hw12 - PH132 SPRING 2004 HOMEWORK 12 Assigned 50...

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Unformatted text preview: PH132 SPRING 2004 HOMEWORK # 12 Assigned: 04/05/04 50 SHEETS 22 142 100 SHEETS 21144 200 SHEETS 22-141 6 ammo mmmmm-Wmabransiswmfl Calwlaedlcmagrfiicflndnmghmewflwhmflnmis 5.0% an I...» J'Ance: : CH 3; ME Au given instant the can-em and Self-induced emf in an in- ductor are dimmed as indicated in Fig. 31—53. (a) Is the current timing or decreasing? (b) The .inducedemfis 17Vandlhe "‘"H. rateofchangeofthecumt'is 0-p- zsmzsmndmmducme. EEE " SEW Imhudf'mx]: IIIIIIIII -I—-——_...._..._—.....—_~___ 1:: r EEE IF A mass? ..; 1:53 A Low. amuegs -Z: IN TIME) AA.) gMF 3:5 fpbucgb new £3.22 23; THE." (Joint. 7*er éafsmbucaa 2M2: Ac:- 7?“me - 7795 W65 77%? Pkabucas -~'- I ® —.L./_ i: 5:1: 727%: at!me I; May- .7745 704.7947"? or”? 7756 grip “2,14 oyPagg’T/rz ER. or y. I -—. ' 777%.- ‘POLAJZn-f {Dr-— /#¢HHEW2VZ 7H6 IS I”; um,“ 55; AuéMz-Zb. 09/. f . $35- “2%; aF I (7’0 “07mg 7”: M“ .\. . Magma—l . 77/5“ pr'w iMF '39 4N5“ 3"): IS: 59 777g: in?) mar/WC? V I J . ' EL '17 _ éng/o H 50 SHEETS 22-142 100 SHEETS 22-144 200 SHEETS 22441 in 'mm 42?. Thecunerltithmugla4.6Hinducmrvarieswifl1timtas 6’2? _ ’HRw é, GWEN'. ’fvé'H shown bythegraphofFig. 31—54. The inductorhasaresistance of ‘N imewals(a)r=Otot=2ms,(b)r=2mstol=5tr!s.(c)t= Smstot=6ms.agnorethebehavioralmecndsofflwmtewals.)_, “fag inbuch £M£ muse-s FBBM 772*? CMMéJuc-zs cupid—.33: : ' ‘ __ L .‘ I '7‘”; GNU”? (95: I V5.1— 5- — "' jfi' Is ?}£:d£'mr$£ profit/oz} I6 .fi'U‘wT 7773' 129.F‘mdmemagnimdcofflwinducedemf‘£dufingfl|efinn . _ _ _ _ _ .939 -'- i $0 5HEETS 22-”. I12 H50 SHEETS 12-1-41 "Aw—1’ ‘22.!“ 200 SHEETS rri-«nwm J ATE. ThecunentinanRLcimfildmpsfromlDAmlflmAimhe 1 fimswmldfollowingmnovaloffllebafleryfinmthecilwitIfL . ileH.findtheresistameRinthecircuiLm a) The (1’66an of carrem‘ 57 an EL aircw'i- is gfvm 68: ' (of. 51-— 46?, ,9. 795) 7; x5 1%? (Mmfire 16m cmw 5% 22 141 50 SHEETS 22-142 100 SHEETS 22-bit! 200 SHEETS ,. 0 ma / Q11 5 !_ i . _ vmieswithfimcrsothatthectmemisgivenbyifl) =3.o+ 5.0:; _ of time. (Hint: Apply the. loop rule.) _ _.. .1. given: f!£)=30+5-Ot R: Wm i L: b.0H . 5(6) whereiisinamperesmdrisinseoonds.TakeR=4.0fland L=6.0H,andfindmexpressionforflwbaflexyemfasafuncfion It}: {3% “Sr a, App/3M3 KIWI/1016C? AMP I’ll-{6" 569"“‘R—"ngo ( Solm‘d my z‘R+ L 31—2. ' ' E = R(3.'0+6.oe) + L074! (3.0+6.0é) we - =9 W30 r5019)? Afa o)‘ 5 @OLQMB. 0 +5.09 + @ 0H)(5:o’*é) :m i -__-_________._; w. _ I - i -. ._.w__._. .¢._._J_____....._h._.-._ fl My (fr/00v 531; In H 3] 55 gs 100 v I 3161)! after the closing of switch - g- - ’ = S, a 10 time later, c ' - RI=IO.OQ,R1=20,OQ,RS=* 0’) “8 (Jun _ medial.er after the reopening of i I I r 1 1 0.0fl,andL=2.mH.Fmdflae- . . ,_ ialues of £1 izi-(a) immedi— _ E! - / L‘ZI : ' " R2: 20mm _' Rf 300,12. L=in ; i find: 61);} audit @ 13 to 4‘1“chij S b) with; as 25 -* 06' 42%;ésk53 50 SHEETS 2-! 42 :00 SHEETS 2-144 200 SHEETS 2-14! 2 ~,:2 2 / 'Er 19430 9 0):}‘amh; £76 #0 fir I‘WHH 5 d) 1; Wt} ‘15 fewfil [email protected] ,3 6010on rr'sea’aarw may; L: é:- ‘Efi—e'fl”) (cf. 31% ) . 5 o (3: E (/“e )2 "E0 ‘1)30 50 no Carmen‘is How; .‘nMe -... ~~-............ .. .,. .. m... /oop WW? 7‘!!! (ha’mbr 7W5 mews 4:52,. (15% kz'rchbofli loop me: ' n __ __ n 1' .-. ' - i z ‘5 £121.":sz " g LJRIRLIRZ—‘o a» 4-9:“?2 I I L‘I‘Os. (02.1.. .n mwm ' 3'33” i i g ! l isz tjefs My My. (6 “’00), (g M655 asleMysvbk : a; ’ i g 7%- nms 45:0 So 2L: 413:0 as 46 - i Now we am bun-5k efadfibv my kWh/204% fades, ignoring 24c rhdztaérr q:g+g(n 2 fig, 139250 : mo - 1'06, ~2052 (a) . ‘ .—. O I -_ L‘zfizflLgR330 2 2062'— 30"3 “A; ‘2.— 25 L3 gmme (3) inf» a): 6‘:- £352., +63 Mo—xofiggflfg —20 :Z) /00 - (51‘; 7/053 ~ 305?, =0 Mo =55a3 —>> ('5 ‘ggfi‘flfi’ifl m. ANS. Pulhllj H115 and {3) [Wu (Z)! I} 1244.! SD SHEETS 22-142 100 SHEETS 22-144 200 SHEETS ...ra\ l i g g ; C) Once 5 1'5 reopened,I-%_ 71}? (Wear? WIN-(d beMn: If a #n's: d) kar a? {073 has p41} s:th Me magma? c9166) (:2 will 34) in (9. (a 40o) (No €MF 5902695) _ Dewy o'F cane/H 190mm :hduofiar: 152555 #4 4511400) {.40 ms. '7 53P(CM+)‘ I. _ min-«Lg.mn‘lmmuflh—mm—h—“m—“flim i ! «...........1.........m,..~..._ _ ,_._ . . . I _ i HEM e, l' a; a = [max/0 11 3 5‘??? WE'A coil is connected in sefies with 310.0 m resistor. A 50.0 Vbam-yisapplied across thelwo devices, and mecuumt reaches a value of 2.00 mA after 5.00 ms. (:1) Find the inductance oflhe coil._ (b) How much energy is stored in the coil at this same momt? 4.4—.“ .‘1 RI. akcwr: ‘wmgmm WE SEX/£7"; 50 SHEETS 22 142 100 SHEETS 22-144 200 SHEETS 22-14] 6 _mg~m <f-H3/ é-BE 65E. Asolenoid thatis 85.0mm longhasacross-secfimulareaof 1?.0cm3.1'hereare950mmsofwitecmyingacunemof 6.60A.(a)Calcula£efl1ecnergydensilyoffllemagneficfieldiuside_ flwsolcnoid. (b)F'mdlhctoialenmgystoredinmemagneficficld men-.(ncgiectendeffects). .' 50 SHEETS 22-142 100 SHEETS 22-144 200 SHEETS 22-141 6 _thAD 1E}. meg-Mafia; EMERQ‘Z’ )EMsva’ 'IS Emazé‘r’ - *' E. ' mgr/c imam») F' - 30115); g CERTNM uoLUM¢_ I m‘! -JH2.L<.)6 | GIVEN '. £3.70st N A: (lax/an} M: 750 TURN}; r :- 6.60A Mo # _‘2'?7’xxc>-7 I' J [I J ’ 9 7957a unn- VOLUME: )5 Z W CHSI—W 'w 47E. Asolenoédiswoundwiflusinglclayaofimlamdmppa wirc(ofdiunetcr2.5mm) Niall-flew indiuueterandZflm long.(a)l-Iowmanymmsamonfl1csoiemid?(hlwmtklhe inductaJncpca-mforflnsokmidmarits m?Assumcflm b adjacentwimsmandthatinsulafion flfickncssismgligible. i: 2.0” EM: Ed don b) ’7} {2;} a) m A”, - a; ,4}, fimemé 456: mm, Jam 76m Me j: MM of em? wikd'y: ' - _ ZOM f: wax-=1 —> N= 5%- zmsm 5’00 5% b) The {Mac/am: per am‘f knfl fin: by Seaboard Mr [3 (air (5: ,/___ 3/44/1229 63!. 31-35, P. 795) 1 J2 ‘ = (/ 26x/0‘“Q”{200)1fi{¢m)2 2.0m Z E3333 éfié 'siii'n's 3W: \-.__/' PH 132 Suggested Problems .__-___4-.. M: A, and L2 are m 3.347% 43'. [Mminmieg Two inductorsh ansz moonnected in . Series and are separated by a large distance. (a) Show that theequiv- . ' alent induaanoe is given by i.”l = I.l + L1. (Hint: Refiew the derivations for resistors in series and capacitors I ' in series. Which is similar here?) (in) Why must their separation be I : large for this relationship to hold? (c) What is the generalization ' I. of(a)forNinductorsinseries? ' wwkfl madflusapaw‘an be. Mic? G) La? Ear N-rhduabrs in Sentes 55% I: E33. Li L1 @ L :_. i + @ ég'égfé‘sz Sm? {:2'53 _ l. . i 5 69 I 32, 5: -aggdndV:Wuz I f? ' I {6'09"th of Initiating) __ _ a“ we } I g ._ Ky A —‘ J1! 4— @87. 6a a T ANS- Eb -- srrm'Iar 4» mm! )3, five mag: lave “foo C/Q'Se 7b {745/1 0%.; mcdm/ rhdaazm i J OCCHK ii iii“: and Alta #ir 17L? . _ I _ 5 no: l i 5 i 50 SHEETS MWr 12-142 IOOSHEETS 22-144 200 SHEETS 12-141 e_./' f \T f0. Inductors in parallel. Two inductors LI and L2 ale connected 1 - 1:: Parallel and separated by a large distance. (a) Show that the I. equlvalent inductance is given by “(Him Review the derivations for resistors in parallel and capacitors m parallel. Which is similar here?) (b) Why must their sepel'ation be large for this relationship 130 hold? (c) What is the genenlization ' of (a) row inductors in parallel? ' = [51,1111 @ g; @ doflnmn of IMfltfifldc _§ 3 ' 4- ___§_2_ ‘ ' 1'95? L1 L2 @ - §m - @132. slhce ffgé; I . - srml'lor o‘a mtshrs.’ I 5);? +he lhdmbfi 47e- {bo— c/qse, 2% we}: elf/£94 mufim/ zha’acémc WW , accanfllcncyéég andl¢lll. : ' all. 41. 4 42 I C) L 5 ‘ 2 g. : J" ,_ Qt; 12” 1%!“ 17:! L" @Bm L" (mi LEG 231; m... M.~...__mmu .._._‘.. 50 SHEETS 22-142 100 SHEETS 23-144 12-141 200 SHEETS fl [1 v7 .4 74E. Mmagneticenugyslmedinaomainhdmisfiflnfl whcnthecunemisfinflmA.(a)Calcnlmtlnindm(b) Whatcmunismquimdfonhemedmagmficemgytobefun' time'sasmnch? z‘ a 6001M}: 60.0x/a'3fl 40L £913? Us; 4”” , Cf? 551mm Encrjfl gab-rd I?) a magneflé field ‘ manefi'c emf” : (13 {£1.52 (Pf. 31-55,p. 770) u ms» sma- " (mom-3.432 lb) (/(sfiifizz: Way (:2: gas: : -L lNate: 62:26. : f3.‘?H éLe‘, = L/(% L3,?) (12,2: (KL; 2 {Zr-'2‘“ -¢w¢—WMfl——M_... w...“ . ......_.........__._-....._.w.... mu...— .. — - .1 mun-.m- nun ...
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This note was uploaded on 04/23/2008 for the course PH 132 taught by Professor Ramsdell/wick during the Fall '08 term at Clarkson University .

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ph132s04_hw12 - PH132 SPRING 2004 HOMEWORK 12 Assigned 50...

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