a soln - University of Minnesota Name School of Physics and...

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Unformatted text preview: University of Minnesota Name: School of Physics and Astronomy ID No.: Physics 1302, Spring 2006, Section 300 TA Name: Hour Exam 4 l. A section of a wire is bent into a semi-circle with a radius of 5 cm. The wire is then placed in a magnetic field of 0.10 T in such a way that the semi-circular piece of the wire can be rotated about an axis perpendicular to the magnetic field. The ends of the wire are connected, using “brush contacts,” to an R =10 Q resistor, which lies outside the magnetic field region. B “t 0- WT ........................................................ R (a) The wire makes 5 revolutions per second. What is the angular velocity to? (5 points) {.33 -_: mflh éifimmte. 3: E31“ m ;_— 5% [ 11.152 anal“) TCMQ ‘\ g: (b) What is the difference between the maximum flux and the minimum flux through the loop that includes the bent wire and the resistor? (5 points) 15M : Forth =1 fi-Baiil : o-tOTxrthGE’JQ : EGEWUFQTN" Cl’wtn : —B-tT-‘t : fans: xro’le‘ 21?? Ad’ : 19M”? 5 1?“ 3“ 3“” (0) Write an equation that describes the changing flux as a function of time. (5 points) .__5 as) (if): BuPccnoB /L..¢\LM 65-313 km. Maxie. alerLML-fl 1'3 MA 430:) -: B.A—L.6L“:Cua'i+€l¢) , mm E3.) .1» law o—RQSLD. a mj: out : aszxta‘I‘rw mfimnog _ (d) What is the voltage across the resistor as a function of time? (5 points) 2: 231$ : Bfimdwiwislrfia) 5:29-0— we r; 1.15am yam-{m 31+ as) (e) What is the current through the resistor as a function of time? (5 points) ’1 ; % : \a2'3XtoF3HJQAma3‘4959 L‘ To} University of Minnesota Name: School of Physics and Astronomy ID No.: Physics 1302, Spring 2006, Section 300 TA Name: Hour Exam 4 2. A wire coil with an area of 10 cm2 experiences a maximum torque of 3 x 10'2 N on when placed in a uniform magnetic field of 0.2 T. The coil has 200 turns. (a) What is the current through this coil? (10 points) '2 '2. cm: 13?, £7 1 : am. -: awe“ NM : “agile P: .————-J'-‘——; PHD: 1?:tiqu not? i— (b) What is the magnetic dipole moment of this coil? (5 points) (c) What is the maximum change in the mechanical potential energy of this coil as it rotates in the magnetic field? (5 points) ,2 [1 _ #97:. oxlfifihixo'gr: O'Ov'giy Ui‘éllvk 1:..JJRZ— --—OIOQ:'S “I AL)i\J\£ML: @UMHUVA‘LL : 0 I O 6 73— (d) What is the maximum magnetic flux through this coil? (5 points) (Rut = (eri’r': ENQT'IR l'flcfiamq' =7 2KIDV‘L1T'IM2 University of Minnesota Name: School of Physics and Astronomy ID No: Physics 1302, Spring 2006, Section 300 TA Name: Hour Exam 4 MCI. A ”Ni ion has a charge of +9 (1.6 x 10'[9 C) and a mass of 9.62 x 10'26 kg. It is accelerated through a potential of3 kV and deflected in a magnetic field of 0.12 T. The field is perpendicular to the velocity of the ion. What is the radius of curvature of the ion’s orbit? z: ELL—’2 .- : l 3251' I @020 m R 3;; / G l TEL (b) 0.30 m (c)0.40m rm $0.2m (d) 0.50 m ’7 Q g (e) 0.60 m MCZ. What is the magnetic force on a wire segment 3 mm in length that carries a current of 3 A and makes an angle of 30° to a 0. 02 T magnetic field? L721: ELEW\E’ -5 ,QSXIO-SN :: 9)“? qgicrfi'MXC‘OF’TWfiCO 9x10 N H8 (c) 10x10‘5N r:— 5puo N (d)12x10‘5N (e) 13 x10'5N MC3. A wire carrying a current of 1.5 A is formed into a square with a side length of 50 cm. What is the magnetic field at the center of the square? Z XI 5:;- ), M50 (B M kw; (95mm, .ni-i‘tp : 29:23: ‘2 i“ (a)3.39x10'6T ' 1n 2w 5.2%, @433x10'6T (gamma-61‘ fl? 9 “hr (d)?.67x10'5'r . ”W :l N 6 (e)9.01x10'6T - ‘Erat : its?) : trams {ct-name T MC4. A uniform magnetic field makes an angle of 30° with the axis of a circular coil of 300 turns and a radius of 4 cm. The field changes at a rate of 85 T/s. What is the magnitude of the induced emf in the coil? it; 7310);; seawED v (aJ61V m (ye (b)73v #13311: '4th C LEF‘ 88V 0 6T 33 96V ,_ TT xfiofiwfiiy 7300K £93530 X3115}? (Q 111V MCS. Which of the following statements are true? I. Pulling a conductive coil of a magnetic field will be harder if the field is larger. 11. The inductance of a solenoid will increase if the diameter of the coil is made larger. III. The inductance of a solenoid will increase if the solenoid is made longer and the total number of turns of wire is kept constant. (a) Statements I and 11 only. (b) Statements II and III only. (c) Statements I and III only. (d) Statements 1, II and III. (e) Statement I only. ...
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