Phys102.Examples - Q34 ‘1'.) AA: fibl— ITO;l R: S’ L...

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Unformatted text preview: Q34 ‘1'.) AA: fibl— ITO;l R: S’ L “(61—03) b)/1rS$UWLe. 'Hnwk Curve/A": {Lean ‘QMWL Miner Surface, “l-O’OU‘I‘Q/r gupfiQuce . Consiier objec} SLLOWH 1:4, “Hm {figure [erow MA QQJW HM POW'HGVQ dJHUMw (v) (wflwueen 44% "an539" ,fi4epmgOXQJ' I ML 0» R231, 12.1 fig QmL .7 9:9, _, __ 9dr _QJ L Rfigagfiawfm ,,Am- w FL: .32:qu Mr ,J/Qm .5.) MN— 9m» "’77" MrL m Q1: Consider a 9V battgry attached to two conducting, frictionless rails 0.1m apart. There is a magnetic field B of magnitude 0.5T perpendicular to the rails and a conducting - bar can slide over the rails perpendicular to them as well as to the field (see figure). The bar is placed on the rails, starts from rest and accelerates. a) What is the magnitude and direction of the initial force acting on the bar? b) What is the direction of the induced emf? Explain. 0) Given that the total resistance of the closed circuit is 3 Ohms, calculate the current in the bar when its speed reaches 3 m/s. F¥=§9Cmilum§72049mx (Nmfi+wns l3) Ara/9k 0%‘H’Lei‘Q/uoptt&e(1r‘e,ekgeg I SO flux HwngL» 'H/LQ, oicw'iiz, deacwflafi‘ fin [minted emf, can“) {3 r , ‘i—o (titre/066’ HM— MMgneA-rhcgéux, Owe-awn 63; glhd (g producexi ' I r M- l'I-A. ‘HAG Oppcgi‘i'e d—lP‘CLi—qon +0 cg (Hm; am}? 6-1 I ‘ Dried—L24 8f“; 3 T C) pmrmAgugg W a; Acpg ‘ . Ad:_ (it iglesA PhgstO}; mini Amewgg Cal-NU VOCFIUI’I, $419+ : COM 44MB AVE—412+ = ‘9 (4U1A03> A€H+: A [Lei—AU ) C/ouxleOx/Li‘} ALL: O} VAglc‘st—t-AUj—AENILLL :0 ,rAU -: —— CL'IfLrVW~QfU|71l+l‘C\’~Q): ‘ICO~UI’}|(+5‘0«Q7:~ Ufa/1i;va : W447 A W D 2. A square loop has sides of length L = 5cm. This loop4falls at speed v under the influence of $ _ gravity through a region with constant magnetic field (B) of magnitude B = lOT, into a region Y3 Witt : W‘“ with no magnetic field. (See the figure.) The total resistance of the loop is R = In, and its ' w L lug—3w massism=150g. 3 9510 W/SL) id“— F ,1 Long” Mag) Find the terminal speed (VT) f the loop as it passes the boundary between the fields. i C, 3 5° V “L b) Find the total energy lost to Joule heating in the loop during this period. (Assume that the 8 ~ 9 i Z J AU: FMS L’ loop moves at its terminal speed when it enters the magnetic field region and its speed a ' L - - r : . ' WQ ,m‘g remains constant during the loop s‘passage.) [ A LH/l : UK : Claw”? m 4.1,.“wa My) r A {incl/weed gen/WK) A “wa” eel" 47:? Answers. 3. A conducting crossbar bracketing two vertical conducting wires slides down the wires, as shown in the figure. The wires are connected X with a resistor R to form a closed 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? x , 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 polarity of the battery is needed to lift the bar (in part 13))? Answers: a) P&no\¢l: ’55 LIAM; 1.: .. ngfl ) %:§E’.JZ ) A ll’lW/l) ¢6 \4 M u Vicummf) phi/75‘; Fe “ti:%=o :4? ~lLflxfi) . I o ‘5 .. \Fg\:\€89m30 ) ngmé ,U) dezfacLAougo°zg§aA=eA : eatJ ) lg;n3l_alhg ’ \Ql’ v . 0) “MA ('2) =r fiL‘iyima—W up 0:: MR ate/2. (5w 'IS Nevin/i137 (imam/f) b) h V\ ' U c ~—h~ l. at: (Meme Vim/JG: pa+pg :0 \P&\>\€V\ / l4 Jet/Mew } deems/W) 1 93% in otmuw'g‘a--. ' H P—l‘? EmlRWQsz—eo ;: Mu i ) R“, E.~-Q§,:£LR’#£{\L:O v»._~=;> Cziglflu we "Er—Mi“! (5 C 60%" l& Up,,.) Question 3: Inside a cylindrical tube of radius R, there is a uniform magnetic field B parallel to the cylinder axis. A particle of charge q and mass m is initially at rest at a distance r (r <R). The magnetic field begins to change at a steady rate dB/dt = a (a > 0). 3) Find the induced electric field at the distance rfrom the axis. ‘ b) Find the magniturkfi and direction of acceleration of the particle, as the magnetic field starts to change. PhyleZ—O2 Quiz-6 Dec. 13, 2007 Name: ......................... . . Number: ....... . . ............. . . Question: A rectangular loop of dimensions 1 and w is placed (at a distance r) near an infinitely long wire carrying a time-dependent current i(t) = Ioe'm. (See the figure given below.) the total resistance of the loop is R. 3) Find the induced emf in the loop. b) Determine the direction and the value of the induced current in the loop. c) Find the magnitude and the direction of the force between the wire and the loop. Is the wire pulling or pushing the loop? x dx QL> th W V 4.Figure shows a coil of N2 turns wound as shown around a part of a toroid ofN1 turns. The toroid’s inner radius is a and outer radius is b and its height is h. Assume that there is a current i /; , passing through the toroid and a magnetic field B is produced in the ' toroid due to this current. IV a)DraW the magnetic field lines and show their directions. b)Calculate the magnitude B of the magnetic field as a function of the \ \‘ radial distance r from the center of the toroid, using Ampere’s Law. ' c)Calculate the magnetic flux (DB through the toroid. - ‘ ‘ d)Calcu1ate the mutual inductance M for the toroid-coil combination, ' ' 1’1 Answers: 1' \. 1!- l W OLM/ [Joe/(tng VF, , 7,0u (Di/M98936 fi/pw .9 He cl {rec—lien gvr Carnal a z “MM & (iconic/chalice 1‘36.) 3. A square Wire loop of dimensions L X L lies in a'plane perpendicular to a constant magnetic field. The field exists only in a certain region, with a sharp boundary (see the figure). The sides of the loop make a 45° angle With this boundary, and an external force moves the loop at a speed V out of the region of the constant field. HOW much power must be supplied by the external force as a function of time? Raeislmnce 4 virth Qoop is R, When +he “Praisi— ho~Q£ o? the; amp is {ecu/Mg “re WQFJGL'I X i";- -——°X'e?f; AX a.“ ...-= rum ): lama—zeta at 3% _ ' r2 L], l 1 i ‘ R a W hen Hate gauche! AMI“? {'3 ngkv'mf +LL¢ £[9L0i 1 ZL/fi lam—wt: Arr—WW 8% at : 19(WL*X>C% tiaqfinwat) 3,21: MW lib—w: 230a) P» FL P: Wits {axial lot L ocafiE‘: R Em ' u Q3: TWo long,parallel,straight,thin conducting rods with linear mass density lare connected to a charged capacitor by slack, low resistance Wires with negligible mass, as shown in figure below. Conducting thin rods lie in the horizontal plane and the total resistance of the circuit is given as R. If the switch S is cloSed at t=0; 3) Find the initial speed of the thin rods. b) Find the maximum height the rods can reach in te the problem. ~ ‘ rms of the parameters given in sou— —”‘7/ac Capacitor citkolaomges‘. 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This note was uploaded on 02/01/2010 for the course PHYS PHYS-102 taught by Professor Atillaaydınlı during the Fall '09 term at Bilkent University.

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Phys102.Examples - Q34 ‘1'.) AA: fibl— ITO;l R: S’ L...

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