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phys fall 2007 exam3

phys fall 2007 exam3 - Physics 222 ABC EXAM#3(Chapters...

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Unformatted text preview: Physics 222 ABC EXAM #3 (Chapters 28-32) FAIj 2 7 Name. :37 - ' Instructions: For the appropriate problems circle the letter corresponding to the correct answer. If you are sure that no correct answer is shown, you should write your answer in space (i) . Some questions require filling the blanks. Note that some problems/questions have more than one (1) correct answer. For those problems/Questions you should give all the correct ers. The numbers in the [ ] represent the points for the problem. L/Uél: 1. ' tching: Write the letter of the items on the right in the space in fi'ontAoyhe correct answers on the lefi. ( a mass—spring system, M (kg) corresponds to . L (H) inductance (- 0 w a mass-spring System, v (m/s) corresponds to ,8/ 4,; = eh/4‘rtm O ( f mass-spring system, x (m) corresponds to . ,5 S2 = Irish/2n, m5 = (+/-)(1/2) ( e 2 component of the electron’s orbital angular momentum D _. 1/C. (I?)l Capacitance ( O, « ' e 2 component of the electron’s spin magnetic quantum number /E’ Q_(C) éléctric charge ( E) Bohr magneton ,l/ \ i (A)‘current ( F )flln a mass-spring system, the spring constant k (N/m) fi/ Lad” = Huh/21:, m; = 0, (+/-)l, (+/-)2, ..., (+/-)m max. . corresponds to ‘ ' - ' . * ' {/[6] 2. A fully charged capacitor is connected in parallel with an inductor using wires that have some res' ance. The ci now begins to oscillate. Circle each 2S the false statements below? (Note that there are more than one - Answers: (a) This is an example of a amped oscillator. This is. an example of an undamped 0s will continue indefinitely (i.e, for ever). (d) Energy will e lost during each cycle of the oscillati eventually stop. ,(e) Itis possible to keep the oscillations going indefinitely Ewing an alt ating emf source that has the right i voltage amplitude and frequency, in series with the capacitor and inductor,. or the cir t the in uctive reactance will always cancel out the capacitivereactance to give resonance. 2 .. K 2 +( X L: X C (4% .— EI : It, / . \,/_For the RLC circuit at the right R = 7.80 Q, C = 820 pF, L = 1.50 pH, and £0) = 87.0Vsin [21t(7.3 NIHz)t]. Use this informationto answer problems 3, 4, Sand 6. $349 I Q in"; V ;TO X Q , , [8] 3. Wire the impedance resulting fiom R, L and C in the circuit C.“ ‘1 l R L Answer: .XL=37.O Q, XC=33.0 O. (b). XL=78.0’Q, ‘XC=53.OQ c —- mtg/(cfoyo, XC=47.OQ. (d).XL=69.OQ, Xc=27.0Q. Wm?- ! Q J . t) 'X= on, Xc=19.0Q. (r) :_ L 3536 ‘ Z [8] 4. Determine the phase angle td complete the following statement: ‘ { $20 1‘ “9 / The current in t circuit is given by i(_t) = 87.0V siVMHzfi - 4)], 005 6 2. 8m . 1 _ I Answer: (a) 10.0”. 80.00 (c) 650" (a) 37.0°[email protected]‘8.o°y ' (a 4 . [5] 6. Whi h of t Answerszé phasor diagrams below would best describe the current and voltage relationships ofthe-circuit'in-prohlem 3? 8 VR . (b) VR . (c) ' VR 8 . (d) VR VL a t/ (and a a [10] 7. The magnetic field through the semicircular loop (radius is 25.0 cm) . . . . . changes according to the relation B(t) = 6.9t3 - 4.0t, where fit) is in mT. _ x ‘ .I ' ‘ 2 ‘ and t is in seconds; The resistance of the loop is 8.40 mg. Q0 ,‘H " Li’ 0 . ‘ ' 1010.3 What is the magnitude and direction (circle the correct choice) of the current that is induced in the loop at t = Physics 222 EXAM 3 SPRING 2007 A Name: [11 ,9. Match the equat' :15 in problem 8, with the statements below by writing the letter of the equation in 6:1? by the correct temen (s). . State nts: ! z This is a fictiti 3 current (i.e., as current betwee th 1 es of a capacitor). Strjgéts that elec 'c charges can be of two typesxrzning the same mag. ude of char e Gauss’s Law for electrostatics. Farraday's Law. i pere-Maxwell's w. (i Gauss's Law for gnetism. g Predicts that no is l ted magnetic monopoles exist in nature. A changing magnetic field produces a electric field. C 5 A changing electric field produces a magnetic field. f uggests that isolated electric charges 0 be found in nature. fl 3 suggest that there is a connection between light and electric and magnetic fields. in nonsense. _ . ‘ d3 3 ,qo Lde smé} R L” . air (4 [6] 10. A 6.50 12 sistor and 870 pH inductor are connected in series across an ideal battery that suppl' 5 13.8 Vfl-Iow much energy is stored in the m etic field of the inductor when, L the magneti fie becomes stable? \. 1 R 1 O? . i Z i ) Answer: ' O‘mJ. (b) 1.10 ml (c) 4.50 m] (d) 9.60 m]. (e) 5.60 m]. (t) + - , J. - '2. . H66 11'9“ ; ,gT—T—ML“ L4 [20] 11. A piece of wire is bent in the shape shown (a straight part A-B 26.0 cm long, and a circular part B-D-C of radius 37.0 cm). The wire carries a current of i = 3.0 A in direction of the arrows. ' Determine the magnitude and direction of the magnetic field‘at point P; thccenter i' of the circle, due to the Current in A-B-D—C. (Treat the circular pan as a' MA. complete circle and. neglect the lead fi'ofn endC1) F—‘leam 9 Hint: Break the 3 re into 0 parts and use the Principle of Superposition. Answer: @‘.1 at )2.5 at. (c) 6.0 at. (e) 8.8 pr. (1) (d 6.9uT. _ L V 7’ ' QIS" D' ct‘ ; In Q { L7. fig; [57%. __ 7/1940) ,,___ ire 1011 Jig 0 “Tx [OIL I'Ilol 3.0H T113011" b.43/ [5] 13. The figure at the right shows a long straight wire and a conducting circular loop that are laying on the top of a table. The straight wire carries a current that is decreasing. ‘tr’ . / An induCed chrrent will be Set up in the ‘condUcting loot). The direction of the magnetic field at P, 4‘ . i the center of the circle,‘due to this induced current ' Answer: (a) There is no magnetic field at P. (b) To the left. (c) To the right (d) Perpendicularly out of the page. ‘ .P endicularly into the page. (i) For Problems 13 & 14 use the information below: The figure at the right shows a cross section of a system of three concentric conductors: . ' a thick walled cylindrical conductor B of outer radius 25.0 cm and inner radius 2420 cm carrying a current’of 14.0A in the direction of arrow l,‘ a solid cylinder C of radius 12.0 cm carrying a current of 26.0A in the dir ction of arrow 2, and the outermost conductor A with inner radius 32.0 cm an outer radius ' , 4 36.0 cm carrying 9.0 A in the direction of Arrow 3. A [5] 13'. The net‘ current’( agnitude and direction, using the 7- e 'i Answer: (a) 1.0 A. (b 4.0 A. (c) 6.0 A. (d) 10 A. . _/ ln+;Ll1LQ+L5: %]14. D ermine e magnetic field (magnitude and direction) at a distance of 30.0 cm from the center of the solid cy nd , ' 5 Answer: ‘2. - . (b) 7.6 tiT. (c) 2.9 uT. (d) 5.9 uT. (e). (d) 9.6 ttT. (i). ' . Direction: C100: '5 e. —.._.____—- 1.3915 [12] 15. The figure shows a uniform magnetic field. The lines represent the paths taken byparticles that suddenly enter the magnetic field. Match the path number with the charge on each particle. 1+ . . . . , \ posrtr‘vi, egatrve, or n neutral) 5 l 2. , v I of the arrows) through the cross section shown is A. (i) . Direction: In the direction of Arrow # 2, ...
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