# 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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