HW8T_Sol_13_F11

HW8T_Sol_13_F11 - ORANGE COUNTR Y SET 8 CHANG E CGUNTRY...

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Unformatted text preview: ORANGE COUNTR Y SET 8 CHANG E CGUNTRY Phys 2114 Instructor: Professor Bandy Fall 201 1 Q The earth’s magnetic field strength is 5.3 X 10‘5 T. How fast would you have to drive your car to create a 1.0 V motional emf along your 1.0—m-long radio antenna? Assume that the motion of the antenna is perpendicular to B . Do cw f- 9.5+"- ./ ','fJ’.’-"Z-.\W @ What is the magnetic flux through the loop shown in Fig. l? a Q The metal equilateral triangle in Fig. 2, 30 cm on each side, is halfway into a 0.15 T magnetic field. a. What is the magnetic flux through the triangle? 1). If the magnetic field strength decreases, what is the direction of the induced current in the triangle? A 1500-turn coil of wire that is 2.0 cm in diameter is in a'magnetic field that drops from 0.10 T to 0 T in i 70 ms. The axis of the coil is parallel to the field. What is the emf of the coil? 5. A 5. 0-cm-di coil has 20 turns and a resistance of 0.50 .0. A magnetic field perpendicular to the coil i B = 0.03t +0,02t2 , where B is in Tesla and t isin seconds. 3. Draw a graph of B as a function of time from t = s 0 0 S. b. Find an expression for the induced current I as a function of time. c. Evaluate 1 att= Isandt= IOS. 6. A 50-turn, 20. 0-cm-diameter coil is oriented in a vertical plane with its axis aligned east-west. A magnetic field pointing to the northeast decreases from 1.00 T to 0. 40 T in 2.0 s. What is the emf induced in the coil? 7. A 20-cm-long, zero—resistance slide wire moves outward, on zero—resistance rails, at a steady speed of 10 m/s in a 0.1 T magnetic field. See Fig. 3. On the opposite side, a 1.0 .0 carbon resistor completes the circuit by connecting the two rails. The mass of the resistor is 50 mg. a. What is the induced current in the circuit? 1). How much force is needed to pull the wire at this speed? c. if the wire is pulled for 10 3, what is the temperature increase of the carbon? The specific heat of carbon is 710 J/kgC". 8. Figure 4 shows a rectangular 20-min coil of wire, of dimensions 10 cm by 5 cm. It carries a current of 0.1 A and is hinged along one long side. It is mounted in the xy plane, at an angle 6 = 30° to the direction of a uniform magnetic field of magnitude 0.5 T. In unit-vector notation, what is the torque acting on the coil about the hinge line? ' X XXXX . . . . 20T [or x t O O O 0 X XXXX . . . . X X X I Figure 2 Figure 3 1/)u.;/.,*—:/L _, Q, E :5 // 5 y 1 5' // 0 “K7 (’c' :5 I? . / pm =1, 9. ~- ‘J "I I ( ' (EA/ti _/ “'1, >5 I 1/ l—F - :-’ J {.3 b "I L} xx [3 Z: Li £4ng a fa 4, ,1, "Til/é” [‘45 S c 5"~»- 5”" ‘“ if)” ~-“~« H 9" uh » / ‘ .— 7c- ," d "3'7 2);“ "y" a” —' f (1? 21— ~54“? d7” 5—. J/ 5 , . w - ‘ . «E- : /’ AM a )w a: 133-. r Liz: g, V / @$-%~: /4*mew 4 w £13.)» ,. fl». Mr» _ . \ “4? {1 8 9‘ X /‘3 /':/S {53% \Jo-amxww W V U- W, ..—__. = [‘3 __.._ wm v? .2 6 a A +4» , W > nor—213 L ‘7‘ fifl W) LE) .. “A Q (f S:- / \,’\J/ B U ix)! fit) EJg/Li fl A) ’3 ,~ Latvia/5; 4:". ( “WK U 5;; ‘ 3 32(1) a7) “(a NYC! MET} ya‘ 2; ’1')“ BL) U 4' A ,3 Big fl =7 (0. WI _ ,. , .1 N!- éf-“l, ‘3 o, o ? .Wé .-. If...) rd \/ ¥ 5 r' ,. ‘ w J /.- I H 7 .., ,7 ECU T'a\ Y; X), L5 7 ( "-C.) 64.9 \ ‘ ‘ ‘. ’E/WV " :7 VJ H ..;«\ __ /fl_ JV‘L ’_ r 3, / a) Two 7 s: 4 0 9% U u 1 (a, rm) ( m M 51/91 (do? ( 0.6-7”) '1; »\ xvi/Wk; “T I w ‘2 A L’7’” :: 2 Q 2/32 ‘3 ’Wb .r—""B -; .« v \ v H F___~___,._— ( 1r“) I f .-L_ . ,1"! ‘7 [I i - Abyh! {\ I ‘1“ w B La cue/"MW J . '3“ n .55 : ~+‘ \N-‘n. . r flfl’bl‘; J "aw Lv‘néwuxldd ‘Lg ,; :_ a. f ‘ It-» ,J \J/ \{j J]; "-JM-xf" 4.4.4!!!" fife, .g_,..42,. c, a...',;_,g,/~ 4 .5) .__\ ~ E- ijl 1.011") 77“) ___: I: W) B thpwd L13 I ~2, fly, 5 XS”? 3 “Elks: I p I m £313) 3“ if: m I}; w v. .4 .32 1’ 7« A? r: {0 5 . .4. ~.:a , ' . ‘ ( '8 ’ F mm 5 :” 7w¢>£ 7/ "5- : W/ 'jw‘f‘V : N / \Jj" I -(J' .,, d5 ‘ A {,5 " ‘ N A / We? N W W '“ {is-"am 7;: \ __,,,._ r My / I I, > t ____...———-—""'-" 9 ‘r; I a ...
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This note was uploaded on 01/10/2012 for the course PHYS 2114 taught by Professor Bandy during the Spring '08 term at Oklahoma State.

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HW8T_Sol_13_F11 - ORANGE COUNTR Y SET 8 CHANG E CGUNTRY...

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