Final.2007 -...

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Unformatted text preview: “Mam“.uM-we”"memenwwemu-M,mWWam;Hcw,P...“-H~.w.....mMa“-sank-wWWWg-wmcwmam.w.m.wm"Lu-umMw.“wHWeWWWa.”moMecan“cag.“_Mum-sMman-meal.“mmaQwweé»no“amenanew“euqnauguwmw”swab-mwe;"[email protected]_M;LWMWM 1. High frequency Signals are often transmitted along a coaxial cable, such as the one shown in the figure. (Assume that the insulating material between the cylinders is air.) a) What is the capacitance per unit length of the coaxial cable? b) What is the inductance per unit length of the coaxial cable? (1) What are the stored energies in parts a) and h), per unit length of the coaxial cable? “A .__-.‘M ¢z¢l+pb+¢$ @é‘JX: CEJACMO”: .f . W 4, _ 9k 0c Fl it; 163—»)er ”"ifé: L " flee to 3%)(enz,_tm)e%alfin(%) a C ‘ _..'_.,‘.,...._ we a cue Vmw- 92mg“ M6? 2. Figure shows along, straight wire carrying current i; 5 2A and, the circular loop of wire with radius R = Imm and current i; = 0.2A. (D = 20m.) a) What is the torque on the current loop? b) What is the potential energy of the wire—loop system? c) What is the loop’s equilibrium positiOn? (Expiainj Answers: 3) kg Vt H M ’ \4 \A lb:/ux(3 9 [1:12;] fl WM‘}: M: Q E“ 2/47”": My I'eno. §{5&{CflSOUr/’lo ;( \ ewmz, gzm NW @29506225 U: mfl660$90°:o( maméw mot/£9 w-NF‘W—.—~.‘._._._._,._,,__.._.A_._ . _._ 3. A conducting crossbar bracketing two vertica} conducting wires slides down the wires, as shown in the figure. The wires are connected X With a resistor R to form a ciosed circuit and there is a horizontal magnetic field fi perpendicular to the plane of the loop. (Assume that X the bar moves with constant velocity.) . a) What is the speed of the bar? ‘A b) A battery is added to the circuit. What emf of the battery is needed to lift the bar with the same speed? c) What poiarity of the battery is needed to lift the bar (in pan b))? Answers: a) PMmAgfls Law; an] :: .... dfifi j ¢GZ§EZJA J )4 MW) 9% j \A w \4 q “'CAHMJ‘QMJEJ but :Pfi "Z‘szo )9 Zita/X3) \Eg\:t€89;fl300 J F3: mg y-U) mavqreci/LOagoo :ggatAraA-z, 39,2] ) Phat ! ”\gluc”... 8{ ”I Rbgmmfiw’irwwggle) .6} MA ('2) my w)(tfi¥)=w§ “2:? (T141, 6w fl$ Movgmfi datum”) b)“ V\ v ’Vr 00th {Sm/{3: CQ+E£ 2:9 f&\:\a€\ A t ‘ I4 Jet/Mew ) Q6 sleaze/W) , €1.55; '{e ciagtfig‘en. €“iRWgQU-«ZO ) {3: flQu R, w New 5cm .2 We t) :9, two, ( I ““ H in: “W w L, 4. The switch in the figure given has been in position 1 for a long time. It is changed to position 2 at t = 0. There is no current through the inductor initially. (e = 12V, R m 29., C = 20111411, = SOmH) E a) What is the maximum current through the inductor? b) What is the (first) time at which the current in the inductor is maximum? c) How would your answers to parts a) and b) change if you change positions of the capacitor and the inductor ? (Explain) The, 5mg 1,, C5) 39, 'm Lawmal‘oo is uncharged 1nii‘ MW Position 31 int-\imflflté, Answers: va. ,VL,~,.—_c,:g , i—$"‘""“" “’32 (/36?ch \iL C, Mm .... L 2;. W ..., M d f‘” ,,.. 0/ a) I” g )6; > 029(246456) .|(§9)(1o) Izz' Cm‘)t‘i03> KQ2)(’EO )(D:“ :Lo)(q~§2")(1) illraqul S. The ac generator in the figure supplies 120V at 60Hz. With the switch (S) open, the current leads the generator emf by 20° (Experiment I). With the switch in position 1, the current lags the generate: by 10° (Experiment 11). When the switch is in position 2, the current amplitude is 2A (Experiment III). E a) What are R, L and C? b) Is the circuit resistive, capacitive or inductive (I and II)? c) What are the maximum energies stored in each device (HI)? Answers: a) @xEMIW’t I: H a . ., , , L , Kit) “’4‘; i l M; wflCQ—a-‘m Qo‘ ¢C+C= 1C, fMAO'OT; WKQ_MLV {L J awf- I X::>.<..9: XLflXéz-flimuv) «45> XL”&—E~:‘0‘1%fl Q1) O 2‘ 83‘ {7220in III 1 C— the: Q” 'f" M ”CK VYL. at) % ifoé/i C \xcwmuaa e) 5., .. 5m ._ madam ‘ 32/ L4) Mei @)v—~==I> )(flxhtz, m. 0:5 ' We,“ “Yr, :20 '36 K: 60te'19; X0260 —iXL_C4') Ru“; 65.41.; L:313mli C~15§HP (a) we) m» X“ 25.9. .— Lemmigwm (New?) ”30 ‘4 lefiéokxb—éc’; XLwtmowg,XL:WJLc—.erfdte ijWXL 5W)? «1‘! NET“) Xyzt30+XLm (sweat-ww— mg» - *‘Lf’ CreLH‘WJ 1” Cxfiuth XL; -4aDJ-1 X*4§t9u1(fb~"10) )(c.j Citroen ‘i' t9: Woke/ti“! & _ EXfew'mlr If: c) Egggrimé Q; g L. c NEH“; ML]: 3Q.) )(L)C'L) eds" V:IXQKQ1)U%) «reeov C i “We: 1' “a“; va) 1 We _ mice '* . a: ‘ ...
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