final_exam_spring_2003 - FINAL EXAM GENERAL PHYSICS II...

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Unformatted text preview: FINAL EXAM GENERAL PHYSICS II SPRING QUARTER 2003 June 9, 2003 ‘ ’3 ‘ Name \ Student ID # Lecture Instructor Section Number Full credit will only be awarded to answers with all work shown. 1/41ce0 = 9 x 109 NmZ/c2 %=835x10”CWNn€ tm=4nx10"nmA mp = 1.67 x 10'27 kg nk=9JIXIUng e=1.6x10"9c LUBLEM SCORE 1. / 25 5 / 25 2. / 25 6. / 25 3. / 25 7. / 30 TOTAL SCORE / 200 4. - / 25 8 / 20 PROBLEMS ? K . Determine the magnitudes and directions of the currents through each resistor shown in attached figure. Indicate the direction of the current through each resistor by drawing an arrow on the diagram next to each resistor. The batteries have emfs of 8 .= 9.0 V and 82 = 12 V, and the resistors have values of R1=15 (2, w Rz=209andR3=4OQ R] 4’] [00f I. ‘z l q‘ S u 4 @j' (90".) —- g: 1l‘21‘i’ «$372; :0 (3) 62 ® a z, (4) ml. (1"(3) E, "‘ l1 )2, " 11?: "is ’2‘ 9 D 0') -22T',Rz *{52‘13 Q3=o (5) =9 as = E "4 K "9 ’32 t1. (5) 722 . .v _. _I. Q '. 'I. I“? “ 5; r91“; r 22 + (M5 ’1”? «22):; =0 \g R1 z :9 i =-€z+51+€g3 ~42r5r9‘2 ' ‘ m4. = M 4 1.qu ,4; (R1)? ‘2 ) l$+I$-Z+‘Ko _. a 7 1 7: -1- 723 M [LID — [12‘ —"1 a V3 @fi 1: PrQ'fi-Q’Q g 9-o,Ia.Is-0,/a-zo MA R2 20 12.1.0} 41:51,;5 ‘ QAILA +0,” A g 0,3!5’A 63!: @fl , i long wire thin wire carrying a negative charge density per unit length of 4» passes through the center hollow metal sphere of radius R carrying a positive charge density of +6, as shown in the figure. Find tlectric field at a point P a distance r from the center of the sphere perpendicular to the wire: (a) What is the direction of the electric field at P when r<R? (Describe the direction with reference to the figure, for example “pointing to the left”) (b) What is the magnitude of the electric field at P when r<R? (Give your answer in terms of so , o, l», R, and r.) (c) What is the magnitude of the electric field at P when r>R? (Give your answer in terms of so , o, k, R, and r.) (Hint: find the electric field for the sphere and wire separately and combine the results.) I (a) 3”?“ “a drain" 75"” “‘“L‘ a SIAM/Ac»! 51‘!” My" Lem firm charge Vam3fln) 4,, fl» ya]? med? wad 7'3 “MTV calm/ML #u [m ell/(age If 4": reejathvr/y 646%ng @ SB [ix-E PmchLCL am $46 Nit. Pains/“v +3904!!! an E- fl'il) at! P Park-ta E3 fl!- 6‘94?pr A d 4 ‘4 (A) E: rcpt aw.“ , 5",30 4,. “,3 If- I: l :1;- l .— I) .l. @ um 2"?!) 7i '- ZTIFo V . a . 3 l H ana r , c A- Q. w. () E ‘ srimuq- Eh”. ; ‘3 ') . a em up) >r‘lMA 4'"; F2 (P7K) (Ford-0:, dun») OA‘IW‘ bhyycw an 9rd»: chant. :. ’51:} -rr-.3_]: :/ a’ 1/ =r.4n22 / A parallel plate capacitor is attached to a battery with EMF e= 6.0 V, as shown in the figure. The area each capacitor plate is A=1.0 m2, and their separation is d=1.0 m. We have labeled the left-hand plate ) and the right-hand plate (b). a) What is the potential difference Va-Vb between plate (a) and plate (b)? b) What is the magnitude and direction of the electric field between the two plates? c) What is the capacitance of the capacitor? (Neglect edge effects.) d) What is the surface charge densities on the insides of plates (a) and (b)? (Neglect edge effects.) e) Now suppose an electron is shot with velocity v=200 m/s through a very small hole in plate (b) towards plate (a). What is the final velocity of the electron when it hits plate (a)? "1!) (c V)! i 5 ,—=> = 2+ ‘33. - h ‘ ZW(""" — no W Vf v 19” 3’04) + (9,1,110'3’ k3) '— “If; s A rectangular wire loop With three turns and dimensions w = 20' cm and I = 25' cm is being puned /‘ at a constant velocity, v, in the direction shown with a speed of 50 cm/s. The total resistance of the loop is R = 40. Q. The external magnetic field is constant and nonzero only in the shaded region shown in the diagram. 5 .: 0a [7‘0 T (a) Calculate the magnitude of the current in the loop and the v x x x x a magnitude of the net force acting on the loop as the loop just enters the region of non zero magnetic field. What is the direction of the current in the loop (clockwise or counter clockwise) and the direction of the net force on the loop? (If either the current or net force are zero, state that explicitly.) (b) Calculate the magnitude of the current in the loop and the magnitude of the net force acting on the loop when the loop moves entirely inside the region of non zero magnetic field. What is the direction of the current in the loop (clockwise or counter clockwise) and the direction of the net force on the loop? (If either the current or net force are zero, state that explicitly.) (c) Calculate the magnitude of the current in the loop and the magnitude of the net force acting on the loop as the loop just leaves the region of non zero magnetic field. What is the direction of the current in the loop (clockwise or counter clockwise) and the direction of the net force on the loop? (If either the current Vfié or net force are zero, state that explicitly.) /C“\) E: $95,: A {It/Buflx): Nth»? :WELJM" é,_’ a1, 47¢ ._‘ _ / / bi *7 L 4 loop (214433937 iNSr‘JR Eager ) £6?»st ' J (0) ’llth )6 71¢ 5W as giv‘TTm) Qficapfm C913 is JGCVC‘wfi; I f 7 ll *7 ‘ J o u ditefefiifr 9;: ..-.€":'EK§E{3 flaw m we- d c r- W Consider a long cable containing a solid conductor of radius R; transmitting a current of uniform current density J, directly into the paper. It is surrounded by along coaxial circular shell of radius R2 that transmits a current of I out of the paper. A vacuum exists between the shell and the cylinder and outside the shell. (a) Calculate the magnetic field in the region r < R1 in terms of J, 1, R1 and R2 indicate its direction. (b) Calculate the magnetic field in the region R1 < r < R2 in terms of J, I, R; and R2 indicate its direction. (c) Calculate the magnetic field in the region r > R2 in terms of J, 1, R1 and R2 indicate its direction. A 1200-pF capacitor is fully charged by a SOO-V battery. It is disconnected from the battery and is connected, at t = 0, to a 75-mH inductor. Determine: the initial charge on the capacitor the maximum current the fi’equency f and period Tof oscillation the total energy oscillating in the system a) a, a cv .. (la-[o‘eF-ngoy) X 6 . ,ch 5) A.» = w. = 8: = .3111: - fl? /0,0?5H-12*Io‘9F' c) . .22. r’ t. a. =~ l 69/ f 27f 217m ?kH‘- @’ T: is 2 6 ' d) U = 9&2 (“m-1.92 -= 46’40‘” 2c Par/0‘31?) ' dz 3 U 1: g L (“max = = Its €3~A a? @ i, a a; (9 t? E”) ' 5 / For each of the following multiple choice questions, indicate your answer by circling the letter guresponding to the best answer. A spherical conducting shell has charge Q. A point charge q is placed at the center of the cavity. The charge on the inner surface of the shell and the chare on the outer surface of the shell, respectively, are: A) 0, Q B) Q, 0 2. The following cylindrical wires are all made of the same metal, which will have the least resistance. A) a short, hot, thin wire B) a long, cold, thick wire D) a long, cold, thick wire 3. A hollow metal sphere is charged to a potential V. The potential at its center is: B) o C) —v D) 21w E) v / 21: 4. A wire carrying a large current i from east to west is placed over an ordinary magnetic compass. The end of the compass ne o - arked "N" will point: A) north C) east D) west 5. Two uncharged metal spheres are placed in contact. A negatively charged rod is brought close to the sphere on the left, but not touching it. The two spheres are slightly separated and the rod is then withdrawn. As a result: A) both spheres are still uncharged. B) both spheres are now charged positive. C) C3) C) a short, cold, thin wire F) a long, hot, thin wire E) up F) down both spheres are now charged negative. the left sphere is negative and the right sphere is positive. the left sphere is positive and the right sphere is negative. 6. A proton p and an electron e are on the x axis. The directions of the electric field at points 1, 2, and 3 respectively, are. 4.... Emy __, {g I 6;.” Er ~37 E? £2. 4 ' 4"“ it "“? 6’ 4"“ k? 1 2 3 5,. p e A. -—>, 4——, -—> D. 4——, 4——, 4—— 13. none of the above The circuit shown below is made using identical bulbs and an ideal battery. ' _ A n no 5 0 3:79 ' ' W c» c» c) c) A. Is bulb A brighter the same brightness as bulb B? (Explain) A is in Series erh w s?“ I bulb,C« I I I I 5 ‘ 550113;, Mm. parallel wk 0,5 / it" 1/) {3 Fa Sevies M71» tc 5m _ g 59 Tie cambmafr‘m FDE has 1295 355.01% C Is the current through bulb D greater than ess than r equal to the current through bulb F? NJ 3 TM» ‘1}Mei’7 1295 Rests n. Branfiflc 71M Ac) so We, “Mr-flaws Explain. branch: ill/S flit'dnézfr‘ifle5/c5, F )50 Move 04’ fie cvvmgf «Free. 5 Will «flaca'ilbyr/ FM. flaw 71¢ M1 11w pg, Is the current through bulb han, less than, or equal to the current through bulb F? Explain. (1)) all 7L2 CWNJ/Jl Thu; ber'J 5175‘" Tbs/u El bud? “haw flvu 8 51' (livtclea fat/T {lean/7,9 “rive F M far/7"r1wa DE, Bulb F is unscrewed n - -- ~ l t, opening the circuit. (The socket remains in place.) Does bulb B become brighter become dimmer or stay the same brightness? Explain. B 6) c. D. (L9 3:? f mew/ed. [apenb 71:» TL Y‘esr‘g , 0,2 DEF fhcrcceses E v v ~ 1 5.9 is Emmi EDEF has Wm mafia fl. wiry” , y M 77 5‘57“ 11°, 9% [54,127 Valfjrb ,5?) acrogs 71‘: 3’24 flw’ :5 hus‘f' decraaSQ After F is unsc ‘ et, opening the circuit. Does bulb A become brighter, become ‘ dimmer, 0 stay the same brightness. Explain. . ' '* .e F” Ll . ‘ s‘fewfle BMW” 4‘3"”; 10' my 79 A (,- W ‘C 5 W. 45 . 35 (ilk/gs: / 0 w, W 55 y. . , Wflv 771a. ?aéfoLI/r HM! 5175?? I: -,. . ...
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This note was uploaded on 10/12/2009 for the course PHYS physics 2 taught by Professor Kogan during the Spring '08 term at University of Cincinnati.

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final_exam_spring_2003 - FINAL EXAM GENERAL PHYSICS II...

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