HW8B_Sol_14_F11

# HW8B_Sol_14_F11 - ORANGE C01 NTRV SET 8 ORANGE CC UIN'TRY...

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Unformatted text preview: ORANGE C01} NTRV SET 8 ORANGE CC UIN'TRY Phys 2114 Instructor: Professor Bandy Fall 2011 l. 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 f perpendicular toB . I.» #- 2 - <4 t v': 2. What is the magnetic ﬂux through the loop shown in Fig. 1? 3. The metal equilateral triangle in Fig. 2, 3 0 cm on each side, is halfway into a 0.15 T magnetic ﬁeld. a. What is the magnetic ﬂux through the triangle? b. If the magnetic field strength decreases, what is the direction of the induced current in the triangle? 4. 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 10 ms. The axis of the coil is parallel to the ﬁeld. What is the emfo the coil? Q A 5. O-cm-diameter coil has 20 turns and a resistance of 0.50 .(2. A magnetic ﬁeld perpendicular to the coil '5 B = 0.03t + 0.02t 2,where B is in Tesla and t is in seconds. 21. Draw a graph of B as a function of time from! = — E. b. Find an expression for the induced current 1 as a function of time. c. Evaluate 1 'att= Isandt= 105. A 50-tum, 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? @ A 20—cm-long, zero—resistance slide wire moves outward, on zero—resistance rails, at a steady speed of 10 W5 in a 0.1 T magnetic ﬁech See Fig. 3. On the opposite side, a 1.0 [2 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? b. How much force is needed to pull the wire at this speed? c. If the wire is pulled for 10 s, what is the temperature increase of the carbon? The speciﬁc heat of carbon is 710 J/kgC". Figure 4 shows a rectangular 20-mrn 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 9 = 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? 31 9' Y) 1/] E \ a ‘( {x1 0 ‘6 (T. i (4 ’L. H 0 g GIL 3; L 30 M Q» B W j». L 0 6 (x) xi: T A’ZSQ I117: “79‘ é’)\\%‘w275 L 9W0 .7» :: NACa.o§~¥-o.okiti§'} ,4 _, «Fﬂz r--vv---v-"u-‘N-E—«wwymh"ﬁww, *" 4 P \ z £\‘ [4, j 77 (On 5 @100??1 1 ‘ 7’ 0.0-5 ‘f' Chem! (a; 5’ ‘2”) , r . Z ‘- --e~ I W .51 (/6510 3 +\$3635‘7’7i") 5. i0 Q "9‘ 5 3‘5 7 11” “I’L- ‘M/g Magyar“ 50:: A/ / f5 “s C). ff}? 5 71 5 (/m./'Ew,¢> " " ‘ ’ ' 7 ,- . .6. . d 3n W AXIS». 7. . “3:: V ‘_ _ g -,c7‘€° N; 71+ £0 3 7’ {g a t: /V ""34: t . (AA, B’wa.41..€; M, ,‘-[«r‘(_ 56.1,“! 5:..4: W tom‘j’ LL : I i T F/AJQ 1 Fa ,. 1'3- \ . r, r. \E ( . 'F 5». m 5. \\ (‘03 AWE“ :2: {0 yum-7 2:5 “amp. M £IZS:’:"5'£ '7 ,‘s Amf ,éw 5? : 0'. eff ﬁ'A/o (Fm/44' mew/5713f 24M!) fog/V26”! _ <33 (9 . a; :r "Maw.- 19 ,r . . r”) :- Wﬂ A?" /‘ ~ :: ﬂ : g-vw-‘ﬁ'3’“""“"mw' . ‘5 if” 1 ~\ M J ’ max; {£22m ‘ér‘fmjjﬁg E 7/0 (2; I r V. 1 ‘7va r If; \v.- / .J j _ N 7’6} 57“ “4 X 6‘95"” WMET 15L '. j: Z 0' / 4 l 6 [A B s a. 7'” ~7wa5 4' :9 /\ ..,"""X I’— 3 vi 8 I77+££IZ / C / X 5/ f a I, 5‘ , l 4' »- . v a A .5 {a .x . J ?:,,w64w«v5 «M M X “y? 4 W "‘ 0”“ r W» /’2'-- ~-~»< ﬁx 4: 20 (cad/U (-b’xlﬂ’3W1>E 34’" “I: 2" :4/5-1 6 .¢i-~£.»1:L- [‘20 0 A - - .. x ' z“ :( lo‘-?-A,Mrs»\ « (0,5 Tl) (29.5%») f : 41,3 Xr‘U (-3 NM rim-19m [TL 13 5” 1 L A Z ;; afﬁx m “Am: {*9}; 7" 5}: .[xj ( 'f-LQ. an ...
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HW8B_Sol_14_F11 - ORANGE C01 NTRV SET 8 ORANGE CC UIN'TRY...

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