q7 - PHYSICS 2B(a QUIZ 7 SPRING QUARTER 2001 PROF SCHULLER...

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Unformatted text preview: PHYSICS 2B (a) QUIZ 7 SPRING QUARTER 2001 PROF. SCHULLER MAY 18, 2001 USEFUL FORMULAS: 1 qqu Coulomb’ 5 Law E = Z r For a capacitor 47r50 r CV=Q , — — 1 80A Gauss s Law §E - dA = —j p dV c = (Parallel Plate) S 80 V . . . . P ~ - 1 l qiqj . Deflnltlon of Potentlal V = I E - dl U = — — Electrostatlc Energy °° 47:80 2 [fl rij 2 50:8.9x10‘12 C2 R=p£ R:m Nm A qB F: = -vv v = RI RC Circuits 5 2m 471' r’ l. The figure below shows five long parallel wires in the xy plane. Each wire carries a current in the positive x direction. The separation between adjacent wires is d = 8.00 cm. In unit-vector notation, what is the magnetic force per meter exerted on each of these five wires by the other wires? 1 lg. . l«—d—+—d»l~d—+—d»l , {\J A long hairpin is formed by bending a very long wire as shown in the figure below. If the wire carries a 10 A current, what are the direction and magnitude of B at (a) point a and (b) midpoint I)? Take R = 5.0 mm and the distance between a and b to be much larger than R (each straight section is "infinite"). PHYSICS 2B(a) QUIZ 7 SPRING QUARTER 2001 PROF. SCHULLER MAY 18, 2001 3. A rectangular coil of wire carries a current i and has a width a. If the lower end of the coil is held between the poles of an electromagnet of strength B and directed as shown in the figure below, calculate the magnitude of the force F. 4. (BONUS) Answer two of these questions: a) Who invented the transistor? b) What is the physical phenomenon which is utilized to perform MRI? c) Who discovered X-rays? Q? Q) k—J—-+ G G (9 ca (9 ® ® @ wwe Joe 40 +ke 04k“ 4 wires A I B = A“ (J.+_L +t_+ (D ZTr cl 7.4 SA A . 869: ’“a‘ J..-_‘_._ .L. 2% (i A 24 .5 B®z M0\ _|_’ l l m *2A*T'T"” .éX \ : J42! .l_. _I__ l 63 7.1T +3A+1A+ T— A \ B© : "(aI ‘ \ | 2‘11“ (+40! +3Tl+fi+ _ ,ao\ 7.5 ” _’|; : "9— ‘XBQ _ 24-7141 IX( L [email protected] ‘J A 5,441?- A A _. _.._.—.: : ° IX ‘K) " L IXB® IZ'Trok ( E6) ““ ~> ———: (KB I L G) .A A __> S \‘L A A _._..©- (XS 3 Ac” lxk _ L ,. @ I'L‘nol g 2 A —> , 25 ‘ , A __§3_: th© ‘ M“ (xK 1 Z4—“rr0Q \ [F( = \I L X B( , only “Nae k044°m ( z A Seaway/Vt x x 2) ‘l L :8 {ones cowtrQKU‘HS X X \ on verhm‘ ‘ x X x“ + ++' ' A \ x x X/, SegmenScu HA3 : IRE (“Me |ig ... , MM; «(36” Cance| eack e—Hner l ‘20 945’ ‘1: IOA g:0,ooSm .' Fame! 3 $55 Ba ['me 3 C0m4r:Lu‘H0V\S : +146 Offer Sem‘u-‘th'€iu:+€ currem+) ‘ere ‘ower SGM;~;V\'FIV\H~€ corravfi“, «not “A6 SEMXCIY‘CUIM‘ SEiMQM+ . 8y 4‘“? V‘\3L\~\- ‘onva Y‘U‘e,“'\6 “3 ‘C‘urs'l‘ Con’+v~‘u‘ou4‘|ovs 40 B a ‘Is ou+ 04‘ “as Page «not a") ~~ 'Hvxe 12- ke‘wxj Frege‘d~ lute +0 bring +‘ae 40-“! +0 “HAS “:1; “.801 eXpec+ “(Tom a; (oi/U3 w‘urext TL‘e Cow‘h": LU‘HS 4‘“? PX‘SQB. ‘ower Sew}-‘\ur(\u‘.-I-e $63M” «no-“me? “é: M°\ 111K («\90 Alrev‘eol ou+ o-p *5 N” («3 I (D : ‘0 9+3 ave ‘3resem+ I {3 Only ’H'xe Wafin:*u49 B L 40 9+5 ! I (Her l u-J 5 Mo} ”£er Con+r‘sLu-Hohs Is °U+ 0“ ‘Hae (£31 4. 4'.0 x lo. 'T ACscuSSeok PM” BOM0$ (CK) Baroleéh ”I 4k}s is $°££ic§€n+ Slncckley 1 $ Eri'Ha‘ih ) (b) MUCIEOLV‘ woxfine'HC resonancfi (c) Rgen‘Lcfiem (WHIMMB |P+ PHYSICS 2B(b) QUIZ 7 SPRING QUARTER 2001 PROF. SCHULLER MAY 18, 2001 E RM Coulomb's Law P = 1 ‘32 i For a capacitor 47:80 r CV=Q l _' §_0A Gauss s Law §E-dA =—I p dV C: (Parallel Plate) 3$B di: )1on ds Ampere slaw B(r)=—— ”01 dfi=fl°— i ““2“ 2m 4n r 1. Two long straight parallel wires, separated by 0.75 cm, are perpendicular to the plane of the page as show in the figure below. Wire 1 carries a current of 6.5 A into the page. What must be the current (magnitude and direction) in wire 2 for the resultant magnetic field at point P to be zero? Wire 1 .——r 0.75 cm Wire 2 0‘1» 1.5 cm Li 2. A long hairpin is formed by bending a very long wire as shown in the figure below. If the wire carries a 10 A current, what are the direction and magnitude of B at (a) point a and (b) midpoint I)? Take R = 5.0 mm and the distance between a and b to be much larger than R (each straight section is “infinite”). PHYSICS 2B(b) QUIZ 7 SPRING QUARTER 2001 PROF. SCHULLER MAY 18, 2001 3. In the figure below, the long straight wire carries a current of 30 A and the rectangular loop carries a current of 20 A. Calculate the resultant force acting on the loop. Assume that a = 1.0 cm, b = 8.0 cm and L = 30 cm. 30.-\ M a 203 .L 4. (BONUS) Answer two of these questions: a) Who invented the transistor? b) What is the physical phenomenon which is utilized to perform MRI? c) Who discovered X-rays? 28L, I ‘0 {5*3l ~—’—_—‘—> *ke Vet‘ticx‘ +ke Page +0 (MAC—6‘ .J 86) ex"- P Mo '8 __ MO ‘2 .2 O ZTFR| ZWKZ R2 . I I1 = R \l = (6,33 l I;S+0.1S BY Hue ri3k4 \mml rah) ‘MlS “'5 lei-ix]; on ‘H‘W \e—C4 Sejmen+ cmvxcds ”UNA om Mae H3“: S‘the +\r\‘\$ {pq‘vw‘Se’ CAMCQHK4'H,“ q” Jaw“ cou‘Hnues Seaman“ S ’Hver‘e {5 k0 ne4 (‘on6 0“ “WM ' “a“ ZTrGL .__\ Bup “4 4k€ ”PP" Segme'fi‘l‘ [was ngu:+uale \ \ ' A A 6&on |S “n+0 4kg P136. (ZLX SUP : ‘lZL Molt Sim (100 «M01 \IS A‘TGC'IGJ UP ’ZTrk M BLOW K4 +k€~ ‘G'kNQ'V~ $63M€K+ INKS Magh‘l’z’UA-e Mo ‘ Zn-(Og+b) \ \ , \ ._\ A “wax ‘3 M+O ’H"e \“kflé' 'zL x BLouJ ; M v ‘ o 'l \ 0 t2 L m SM ‘10 «m4 \s oUwec-leoL OLGMJVX —J ‘ ‘ #4 Fne.‘ -_ JJOL l‘ ‘1 __1_ ‘ l (QSXAmxm >(30)(20> , 1W 0‘ «do - ’Zn‘ [5:] D W O ’V +— W H ...
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