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PHY 122 Prelim II (2004) - PHY 122 PRELIM II/m é NAME...

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Unformatted text preview: // PHY 122 PRELIM II /m é MARCH 25, 2004 NAME: 0é¢.L— eramn RECITATION SECTION: F? I. READ EACH PROBLEM CAREFULLY. If you do not understand what is/ being asked, raise your hand for assistance. II. SHOW YOUR WORK. Present your answers fully processed, with appropriate units. 1. The batteries in the multiloop Circuit shown below have zero internal resistance. 4——~2.00A' R t” {at —-" d m E/ 4 __E 0/ C l t th ded b the 45. 0 V batt ‘ X a cula e e power provi y ery. 970W; WWW”) {3:02 Lisovwg 2. Three resistors, Rl : 1.00 9, R2 = 2.00 Q and R3 2 3.00 9 are connected as shown. ‘3 .. 13., 7 ‘2 D “(1‘ - 3 tzfj Calculate the equivalent resistance of this combination between points a and b. ,1; Liwwt-whes D 5/ wt“ 6 kbf/IA battery is placed across points a and b such that the current in R1 is 4 00 A. Under this situation, what would be the voltage dr0p across R3? V9.3 (1&7 Ed (gift/l: V21 3 3- A roton, m s l. 67 X 10 27 kg, q = l.60 x 10-19 C has speed 4. 00 x 105 m/s in the +y direction at point A, as shown. The proton is in a uniform magnetic field and follows the semicircular path in the xy plane to point B. 7/ A a) The direction of the ?* E? magnetic field is ' z_{/X .flgurn.i into the page. .3. out of the page. ;' g} in the +x direction. ; .w in the -X direction. in the +y direction. 35 .-W<EET__H_%. A in the —y direction. 4———-—————-——y . none of a ove choices. 25J)cm +x ANSWER: std Calculate the magnitude of the magnetic field. hfiij Q7KEC) Wk:\ inimir‘fli QWD'JUQCUZD' 4. A”circular loop of wire, in the plane of the page, has a radius of 0.40 m. The loop of wire is located in a uniform magnetic field directed into the page, as shown. The magnitude of the magnetic field is ive b a g Y Y x X: 'x r”,L1W~ s(t) = 0.200 + 0.05 t2 . . . 3‘ x where B(t) is in Testa and t lS in seconds. x K ,x K K x * X Kgi/ Calculate the initial magnetic flux in the loop of wire. ajss. (gcs{o€3(0933 (TC Li 3‘!“ «<2 303 EC} ‘bf/ Calculate the value of the induced emf in the wire at t = 6. 00 seconds. 3:5: \‘V c) As time goes on, the current induced in the loop of wire is counterclockwise and decreasing. A. zero. Cgégiél B. clockwise and increasing. - C. clockwise and decreasing. /// . D. clockwise and constant. ‘ E. counterclockwise and increasing. E) F . G counterclockwise and constant. ANSWER: IE> 5. Two long straight parallel wires are 25.0 cm apart. the lower wire, carries current Il wire 2, the upper wire, carries current I2 page, as shown. a) Calculate the magnitude of the magnetic field produced by the current in wire 1, at the location of wire 2. L 13‘1” \’ A .Lfiyg':( ”(LE;::> &1_§JJ°A b) The direction of the magnetic field at the location of wire=2 is into the page. ,w-out of the page. in the +X direction. ““in the —x direction?” in the +y direction. in the —y direction. ANSWER: <:;t c) Calculate the magnitude of the weeewe ‘F. air"- “I”? .«r', :f;E? a ”4&gmééwwflmu ”w x. ’ «we 'r“ 5?" force _.,,_-.. "m La. / b er unit len th wire 2 by the magnetic field produced by wire 1 '\ d) The direetion- of the force on wire 2 is A. into the page. B. out of the page. C. in the +x direction. D. in the —x direction. in“the +y alféctionwy F. in the ydirection. G. none of the above choices. ANSWER: sf: 5 Wire 1, 20.0 A into the page and 15.0 A out of the OI] (neglect gravity) / i) _ " 4;: (1*? \ 6. A circular wire loop, radius 3.00 cm, lies in the xy plane and carries a clockwise current of 5.00 A as shown. "2*“ x“? flb aaX/x Calculate the magnitude of the magnetic moment of the wire loop. . b) What must be the irection of a uniform magnetic field for the wire loop to have a torque in the +y direction? A. into the page. B. out of the page. rf” C. the +x direction. D. the —x direction. E. the +y direction- F. the —y direction. G. none of t above choices. ANSWER: /\ + Wire bundle $ 7‘] Y fax-”m end View ' 2‘ ""' 2. 1.‘ , +x . I. /V 2 7. A bundle of 25 long straight insulated wires forms a cylinder Vfi {XDOnn ; shown end view having radius 0.50 cm. Each wire carries a V": ? current of 2.00 A out of the page. j:€E}DF\ fl 5 “\a} Calculate the magnitude of the ma netic field at oint P PJ: 32$ ! g P |. 1.50 cm from the center of the wire bundle \OW£\ I g 2’ '2 @239 o A \( \‘ r“ UN Em um”) 1 V3 (6159: p333? O B 23%? “Ch 3‘ 3&0“)? H‘ 0L“6\D\3Ia .0303] f - ti?“ ng; Eb) The direction of the magnetic field at point P is /EEOA£9’//',A* A. into the page. ‘ . “f B. out of the page. C in the +X direction. D. in the —x direction. <3 in the +y direction. F in the —y direction G none of above choices. ANSWER: m 6 -c9{ Since each wire in the bundle is in the magnetic field produced by the other wires in the bundle, the wires will tend to pack together. B. fly apart. rotate. . experie no NET force. ANSWER: :0 D: 8. BONUS QUESTION (5 Points) R a potential Ved . s} The voltmeter should have a ANSWER : LEE *** IMPORTANT STUFF *** —) a 9153 = 'A a —) -> F = Il X B ——> —) y 2 IA -—> -> —) T = p X B 21 : 0 EV = 0 Re = R1 + R2 + R3 + l 1 l = ——— + -n + ——— + Re R1 R2 R3 Tm so = 4N X 10'7 m_. A 3%; low resistance and be placed in series with resistor RC '}3. high resistance and be placed in series with resistor RC ‘62 low resistance and be placed in parallel with resistor RC EID high resistance and be placed in parallel with resistor R: #OI B = 2wr B = pOnI #ONI B = 2a a a §B'd1 = #oIenc d¢B 8 = — ~_— dt 8 = VBL —) -—> dgbB gfiE-dl = — dt P = 31 P = I2R ...
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