ph132s04_hw13 - PH 132 SPRING 2004 HOMEWORK # 13 '...

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Unformatted text preview: PH 132 SPRING 2004 HOMEWORK # 13 ' Assigned: 04/12/04 50 SHEETS 22-142 100 SHEETS 22-144 200 SHEETS 22-141 6 llan 35E. I?)mmfiequurywmlda&0mflindmmda IDILF capacnorhavelhesamem?(b)Whawmldthem be? (c)Showfln:dnisfieqlmcymfidbthcmfimy ofanosciflafingdmfilwimfllesamLmfiC. ssm LC. CIRCUIT: L C N. 571215» 37 CAR. 2.. - I 2.; an. snu'zmse BACJL-i' ' EN. 57025;) 37* Luz; FDR?!“ 357: GAR ' z E w» N) TIE CAR I9 FULLR CMRGé‘b'. Z :: CQ Cw.C-HARG£ 1) 1" ll ll 1"“ :1 it o I IE WHEIQ 7715' CA? 19 Fuwy bzmmeb. 2’0 I= I CMX. cukk§ Sci _._2 (415‘- iL-J— W I: 53-3 - -3 .-_.- 5.53x/o A I Ans. AT AMY IWTm TIME: '\ .. _..___....._...._......._____..._...__.__.____ 4H3? ' 13?. y 15F. In the circuit showu in Fig. 33-23 the switch is kept in posi~ [ion a for a long time. It is then - them to position b. (a) Calcu- . ' late the frequency of the resulting osaillating current. {b} What is the amplitude of the current 03— r cillations? 01H“; 777%" 9W/7‘64'1' 1,; 7 -.__s, mm. _ - when a/ WE NwE AM 4m a; A means 333 CA A6470 . é _ RMMD [B Tm 7/15: fiery/EC? 7W4. CAR WILQ -I--.. a---'- 1:. - - 35cmké£b 7'0 A Pox. bzrr.‘ o/ E V -3470V GM 54, THE #9ng em—)_ 0 " ' . ' so SHEETS 22 142 “'30 SHEETS 22-144 200 5:45:15 22441 ( IE I ’7’; "r k F . fig; 78250 rem? ' mva 9.0- HE’Q / = Mj-X. MAG- . s z o I entah't- __6 c, : Hunt/o F {Ch =:.e, mGsaoTw. to) I: 21?. In an oscillating LC circuit with C = 64.0 pf, the current as a function of time is given by s' = (1.60) sin(2500: + 0.680), where tisinseconds,finampems,andthephaseconstanlinmdians.- (a) How soon after t = 0 will the current reach its maximum 3 value? What are (b) the inductanceL and (c) the total energy? uni-F" f—OR “TH-£5 GIVE“ AL. CIRCUIT ’. {(+3 = ((4,0) A; (zsmT + 9.635) com?n2me Tms To THE GEM- CASE". I(T\:-wQAA3—«CwT + $253 ‘ wé‘ £4: TMW 1373.- 0A __ Izwa‘: Its 442.)" Z" «'7 1’: ¢ = 0.630 PW W amt—17"- wllab MW 1:79 fl 5/ 7715 M FUMU' .— "2.. CV 22 14! 50 SHEETS 22-142 100 SHEETS 22‘1d4 200 SHEE'I‘S 6 AMMD .tofall tobalfits initial value. Assumeq = Q at: = 0. 55m bag W To rpeb THE TIME 20‘ Lorna—r. I :EM’ W ImTMLU-f .22; 23:22" Z. L Q gm _L Q- ,.. _ a ZMX: 2. ;‘C 271’. in an oscillating series RLC circuit, find the time required for the maximum energy present in the capacitor during an oscillation K i i i l l THE.— ABovE gxwgw {a : "2.2—1: :52”: 3/ ! l | ! 50 SHEETS 22442 IOD SHEETS 22-]44 200 SHEETS 22-141 /"“\ _mvs'rmn) -._._.I I’ H33 — 35’? ' _ ' _ l .Tflwh mm“ _- 35?. An ac generator has emf‘g = ‘8, shaky? — 1114). When- 1%," = 30.0de q, = ssomdxs.mmmtpmducedinacon- nested circuit is K!) = I simmdt — 31314). where I = 620 mA. (:1) At what time after t = 0 does the generator emf first reach a maximum? (b) At whax time after 1 = 0 does the current first reach a maximum? (c) The circuit contains a single element other than the generator. Is it a capacitor, an mducton-or a resistplf? Justify fl)=I5.54@,dé — 3;) your answer. (d) What is the value ofme capacitance, inductance, : = -r or msismnce, as the case may be? 55m I a2 90 A k—EJ (Of 6r firs} max. 0% fie) 5) f ‘5‘" fifsfmx a"6 1‘! L‘) C) [éfmé‘aag {hidden or resig’ar in I "Hap (’J'rcufif? ' GD C, L, or' (Z 3/48th Car/mi: 3W Cam/,5 62) g 2 (35.31 [zgfir'fi/q) The m'mum of Ms Emma occars wlm '; 5}, (“if ~Wu)=( . 712:3 11.9fm when “4‘5 44/ : “Sf-"‘2"? 3 I’M/Jew 756 796+ mm'mum areas when nror _._-__d.__.____+~___ . _ i M- 5 “Emsfn(wdt“%) ; fM:30.0U ) g 321:: 377'“ -— z oar’VL/“T/z 4’ ages-4”” % é’m m-67M% r b) [(6)71‘51'fl/kgé ' 5W4) 1‘5 Wham when 0.3!: ‘53”: g—Znfi') ragga; 7776 1975+ Wham is d nzo: a» 5L: :g: “'5 69%:- gqlr fit: t/[g‘sb‘svfi I - 3c) EzfmsMflg't “Ea [Terrseégt -3’Vq>=I5rh WWW-"fig 7?): germ! mm;an 5rd/érmfihj currm‘ b (72‘): T‘Slh/wgf “(1’) Cb 35+}!pr we ~51 Mr; mm¢=g (7+) 1455 g 5} fa; .50 #3 h 52ka :3 4r! {kiln/bf? INS- See {11% 33-21% 3’23 “513.7, MIG/mom's loop rode: cc“ 3f :0- "'5 5:7: fm smflyt 374) "’ ‘4 Sr’vflefi ‘ "7‘0 . 1 V =54 ; 480) UL: IXL :I/wJL) (:7, 33-4/2 M/l'f‘ 33“" 195,22) 30.0v [GZOyU-Jflmflog) : L: L: ZN :- ng 103.: 50 SHEETS 22-142 IOO SHEETS 22-144 200 SHEETS 22-]41 3 AMI-“AD ' 51E. (3) Find 2. du, and I for the situation of Sample Problem 336' with the capacitor removed from the circuit. all Other parameters remaining unchanged. (5)913“? to scale a phase; diagram like Illa! of Fig. 33-110" for [his new situation. gun-Rim?” Nan-vi I: 2&— = —-—- Z. PH A95: Mét-é 3 l (Li-0;; a)» ELEMENT VR -_— IR =n-z 32V. VL: IXL=-": l H w :Q‘DuoTIVE MT em “HT or. 'bJFF. 0°55“:— U 50 SHEETS 22-144 200 SHEETS 22-14] D 22-142 IOU SHEETS 39E- in) Find 2. at. and I for an: situation of Sample Problm 33-7 with C = 70.0 #1:, the other parameters remaining unchanged. (b) me a phasor diagram like that of Fig. 33—] Id for this new situation and compare the two diagrams closely. ssm ww L. CAPALITWE. 2A 4“. “21C 217' ¥C .= =51;- SIN mtuacxzcyn C 5 in. LEAb$ Z37 g. -CI\?>’)-4|P 41?. In an RLC circuit, can the amplitude of the voltage across an inductor be greater than the amplitude of the generator emf? Con- . sidcran-RLC circuit wilh‘ém= ID v.3 = 109,1. = 1.011. and R —_~ [0,51, C = 1.0 pF. Find the amplitude of the voltage across the inductor 0 at resonance- ssm ilw L ‘-‘ fl 0 H l C = (lo/F =‘L0x/J‘T i 606m [>529 g b) K 6’ romance i i Scnks RLC Grim?" I“? we do parf' b) 1536th wt?! kamikazer {a a). b) \4 é’fesdfimoe = 1‘ Woman x )9 €resmme, _ XL é’rflsmdrxg = LL00 when; wO—"l/‘ff—E (See 9.829329) 44,50; dimming/me) I = Q : a (XEXC $0 fimz .. Z _ R (Seer-325):R) E v; :x; (03v ms. = 5 >> :— ‘ 341) Vt /o v gm /ov SoJ'JUchnbggrwo/gn at i This is possible because, Id‘mhhm‘i’é rule.) Z‘Wg-“Q-Lg =0 - * onlfl opp/{es 7b Ihflnflflems Wines. ' 50 SHEETS 22-141 51 fiMMD 22-142 100 SHEETS 22-144 200 SHEETS l “P. An ac generator with ‘Sm = 220 V and Operating at 400 Hz. causes oscillations in a series RLC circuit having R = 220 (I, L = 150 mH, and C = 24.0 pF. Find (a) the capacitive reactance Xc. ' (b) the impedance Z, and (c) the cut-rem amplitude L A second capacitor of the same capacitance is then connected in series with the other components. Detennine whether the values of (d) XC, (e) Z, and (f ) I increase. decrease. or remain the same. IM?£DANC€ '. ' ' IE I I F.- @ .— I ._,__——_ c. Lemamr AMPLITUDE: 13:0»on C. I 23.0%!!!) Kazan—IL 2M=ZZDV = 7:972. z, cfiAm‘rozé. Ix; 9311,2515: E’— : 2L.— +__L. ac.) C E “W a CAPWTIUE _ fight; 5 9c; THE ,agkamca M fife ' Z x 2 K - («LFX¢> . 90 W; IMMIDANQ backaAses, " M9. 50/ TH; CVJZJZ.AM?. 11mm? *9. 50 5 H EETS 22-441 \ - rurum} 22 3‘12 100 SHEFTS -" 22~344 200 SHEETS _ 45?. An RLC circuit such as that of Fig. 33-? has R = 5.00 9. 5C = 20.0 um. = 1.00 H.311de = 30.0 v. (a) Atwhal angular : fiequency cod will the current amplitude haw: its maximum value. - as in the resonance curves of Fig. 33-13? (b) What is this maximum value? (c) At what two angular frequencies and] and ma will the current amplitude-be half this maximum value? {(1} What is the . fractional half-width [= (de - wflyw] of the resonance curve for this circuit? EM sz Z J" R 420.“ch a) I: a; H (of. 33-5z- 33-33 F. 82‘!) ' 711:5 :‘5 an exprasw 6r aarrw‘ampib‘uako If is manhunt when )(g x.” or mL z (IB’Z . The (dimer firefigan mo spin- EM‘ a) w, 1 gm: R= 50(3er , 0:.ZogaF:zo.oWr [5/100 H .3 g" = 30.01; 01‘,” (1)50” 4nd 0.3” 61' 1%? i 10-34:"sz d) 4w, _ ‘2: __. u—L- Z. fill-31L. _/},__ BR h “#:1sz _ “bwdzc'z 2 2_ 2.2,, —J——- _ 50,31. 21"" #BRZI‘Lh‘hZ—C'L O z Zinc z, I ~ , . Z .- ( C )I/Udz {- Z} “0 7H5 155‘ {yam/x ‘0‘! . mm b = 13:53:20) c =4: L. r. (of: page: aw re, 22.1 (the Mgafiw (but: do mi mgr-£1 We) mhuwIm DON w.:..«« \I../ mzuxm on. «3.2 92.2%. MWX mbwuzm on helium PH 132 Suggested Problems 50 SHEETS 22-142 100 SHEETS 22-14‘ 200 SHEETS 22-14] 5 llMPAD 8E LC oscillators have been used in circuits connected to loud~ speakers to create me of the sounds of electronic music. Whm inductance must be used with a 6.7 uF capacitor to produce a frequency of 10 kHz. which is near the middle of the audible range of frequencies? F071 AN LC. 6.2341027": —————___*_____________ 50 SHEETS 22 142 IOO SHEETS 11-144 200 SHEETS 22-141 6 AMPAB 45F. A coil of inductance 88 1111-! and Imkmwn resistance and a 0.94 pF capacitor an: connected in series with _an altemaxing emf of frequency 930 Hz. If the phase constant between the applied VOIWQB and the cum! is 75“, what is the resistance of the coil? 50 SHEETS 22-!41 22 “£2 100 SHEETS 22-144 200 SHEETS 't. “E. Whal dim! Current Will pr-(iiucc the same amount of lhermal cnrrgy. in a pmficular resistor. as an altemating current that has a nmimmn value of 2.60 A? an ...J......_...._—.___..-..--—_._. H... _.. .. ..._ .. éfvm = Max Ac carrw I: 2.002% LI; SO go : a; (head is MpdeMdem/gfi) -—- --——......__. __._,____4_ __ _ 50 5 Hi ETS 22-142 100 SHEETS 21-144 100 SHEETS 22-! 41 ‘c 5- [L1 - 48F. AWMGWWWME umniucdbymnsofflmwimsasslmninfigJBQIflw chcuicpotcnfialsuelafivemacommrefmkvenof I thus: wires are v.=Asinu,r, V,=Asin(mgt-120"), and V3=Asin(mdr—240“).Sumczypesofhcavyindustrialeqtfip- ment{forexamp%e,molnrs)havetiueeuminalsandmdfiigned tobecmuwcteddimctiytomescflmcwims.Touseamemn— national two-terminal device (for example. a lightbulb). om mitwuywoufdgthmmswmmwtmfial difimncebetwecnmyrwoofmemsmmscmamssimsddmy with angular frequency udmdwwasanamplimdc orafi. Wm V2 :35!» (596 720°) V3=Hsm(a¢ 1913') ‘l’fl’: Vl-VZ a Uf"éy‘4"é “3 d)sfnasm‘dd W305 Ml: hang w; J m WWI? 13A Three-wire mmission line FIGURE 33-27 Problem 48. we w w my. = = 253%?)4439) 10?) WNW can a!» m WW) _ W = 45w woé -- (WW9 2w: -I2,o' : ,ZFI sin (60') 605 2 2/9[ C05 [Wat ~Jio‘j ! EUfVB "' 45.20 (m —!Zo-) “H‘st -.z:/a°)= Msmflo'msme iifb') - . 5 2*? gwsmtvwk fifimmt- (30°) m V, "/5 = Asfn wit “fish {um -Z</0‘) = 24459: [12.90595 {(4515 *- 0°) ’ 213] 2.5 cos/WE - 270°) = 115% (105006415 420°) m- ‘ (c! ‘ ‘ m' luau dfio do #15 £0er .Iggugt/zfiandog, may} at each wank/é; . n - -— ' ' . I flu mgmufilffifiuéfgm I? am “(My UI is wn'ucn as figmmt '4) 33W 53 (fibril arergz- for #165 mu (IL-30? “a pom? ~.._.-.-. ___._._—... _ ._ .._ E SHEETS 50 SHEETS 21-144 100 SHEETS I-‘JO 12-h“ 224-12 5'11.I I“ -.' '.'| ;]_I' ...
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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_hw13 - PH 132 SPRING 2004 HOMEWORK # 13 '...

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