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1E03 2009 test2 - Physics 1E03(Summer 2009 August 4 2009...

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Unformatted text preview: Physics 1E03 (Summer 2009) August 4, 2009 TEST 2 Instructor: Dr. A. J opko Name: 5 Qbm Duration: 80 minutes Student Number: Signature: Instructions: 0 Print your name and student number in the spaces above and then sign your name. In Part A, circle the letter beside the answer of your choice. In Part B, provide complete solutions in the space below each question Do not use pencils You may use the formula page provided but no other notes or text. Only the McMaster standard calculator is allowed There are 9 multiple-choice questions in part A and 4 long-answer questions in part B Continued Next Page Page 2 of8 Part A Circle the letter beside the correct answer for each question. Each correct answer is worth 2 marks. An incorrect answer or unanswered question is worth zero marks. 1) The figure shows a cross section of three parallel wires (perpendicular to the page) each carrying a current I. The currents in wires A and B are out of the page, while that in wire C is into the page. What is the direction of the magnetic field at the location of wire B due to the other two currents? A) Toward the top left of the page. B Toward the bottom right of the page. (D A @Toward the top right of the page. D) Toward the bottom left of the page. 2) What is the value of cl? I d; for the closed dotted path S taken in the clockwise direction as shown? S The direction of the currents is either out of the page or into the page, as indicated in the diagram. Continued on next page. Page 3 of8 3) The wave function of a wave traveling with speed V is given by y =Asin(o)t-kx+:rt)m. If the amplitude A of the wave is doubled then the wave speed is: g; 15‘; 3% Liiflfmé'g. C) VH2 D) Cannot be determined since the wavelength is not given. 4) A harmonic wave travels in the positive X direction along a string. If the wavelength of the wave is doubled, keeping its frequency and amplitude constant, then the maximum transverse particle velocity: ’6) Stays the same. .. LAT. B) Doubles. UM J m C) Halves D) Cannot say since the wave number is not given. 5) A long solenoid, carrying a current I in each turn, produces a magnetic field B inside it. When the total number of turns in the solenoid and the length of the solenoid are both doubled, keeping the current I in each turn fixed, the new magnetic field produced inside the solenoid is: A) 23 .339 BzflQL: .0. D) Depends on the radius of the coil. 6) A long straight wire carries a current I in it. At a distance R from the wire the magnitude of the magnetic field is B. What is the magnetic field at distance 2R from the wire? A) B as. B °¢ is ) BM Continued on next page. Page 4 of 8 7) A wire in the shape of a square of length L on each side is placed inside a solenoid that has a circular cross section of radius r as shown in the figure below. The solenoid carries a current I and the magnetic flux through the surface bounded by the wire in the square shape is (p. If the radius .\ r of the solenoid is doubled, keeping the same current I, then the If, \ flux q) through the square surface is: f “‘3 .- r \ ,(p W 'I i‘ c) 2:132 g M i ' I ' D) 4e W m. MIL-Ma ”a I \ I" “K / M / becomes: I 0 @L _ L We“ - «e M “3/ B) Lf2 C) 2L D) Impossible to say since the radius of the inductor is not given. 9) Along straight wire is bent into the shape shown below and carries a current in it from the left toward the right. ............................ 9a....w...“ \Vhat is the magnitude of the magnetic field at point 0, the centre of the semicircle. A) u UTER p .L B) ufilflnR 6 = J, Ali/J C) unU4itR 92. gs K None of the above. Continued on next page. Page 5 of 3 Part B Write a clear solution showing how the answer is obtained. Each problem is worth 3 marks. 10) Consider the circuit in the figure below, taking E = 9 V, L = 8.0 mH, and R = 6.0 Q. The switch is closed at t=0 s. a) What is the inductive time constant of the circuit? b) Calculate the current in the circuit 3.0 ms after the switch is closed. ‘T’ =ésitzr§9 @ Continued on next page. Page 6 of 8 12) A short wire oflength L = 30.0 cm is held at rest parallel to and at a height H = 90.0 cm above a long wire carrying a current of 150 A to the right as shown. (The long wire is fixed) a) The short wire is released from rest and falls, remaining parallel with the current-carryin g wire as it falls. Assume that the falling wire accelerates at 9.8 infsz, calculate the motional emf in the short wire after it falls 60.0 cm. b) Which end of the short wire (left or right) is positive? W Continued on next page. Page 7" of 8 13) The figure shows the orientation of a rectangular loop consisting of 80 closely wrapped turns each carrying a current I. The magnetic field in the region is B = 40.0 i mT. a) If a = 0.40 m, b = 0.30 m, and I = 8.0 A, calculate the magnitude of the magnetic dipole moment of the loop. b) If 0 = ”£0.00, calculate the x-component of the magnetic dipole moment vector. Continued on next page. Page 8 of 8 14) A flat coil of wire, consisting of 20 turns with each turn enclosing an area of 50.0 cm2, is positioned perpendicularly to a uniform external magnetic field that increases in magnitude at a constant rate from 2.0 T to 6.0 T in 2.0 s. If the coil has a total resistance of 040 Q, what is the magnitude of the induced current? THE END ...
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