10 R (8) pat *59. (II) cro and Path 2 tic Path 1 (b) mi (a) *60. (II dit FIGURE 20-60 Problem 49. (a) A toroid or torus. (b) A section of the toroid showing direction of the current for three loops: O means current toward you, and means current away from you. su ra if 50. (III) (a) Use Ampère's law to show that the magnetic field between the conductors of a coaxial cable (Fig. 20-61) is B = µoI/2™r if r (distance from center) is greater than the radius of the inner wire and less than the radius of the outer cylindrical braid (= ground). (b) Show B = 0 outside the *20-1 %3D *61. ( Insulating sleeve that %3D coaxial cable. *62. FIGURE 20-61 Cylindrical braid Coaxial cable. Solid wire Problem 50. *63. 20-9 and 20-10 Torque on Current Loop, Motors, Galvanometers Bol 51. (I) A single square loop of wire 22.0 cm on a side is placed with its face parallel to the magnetic field as in Fig. 20-34b. When 5.70 A flows in the coil, the torque on it is 0.325 m· N. What is the magnetic field strength? 52. (I) If the current to a motor drops by 12%, by what factor does the output torque change? B(T Bol BC 586 CHAPTER 20 Magnetism

10 R (8) pat 59. (II) cro and Path 2 tic Path 1 (b) mi (a) 60. (II dit FIGURE 20-60 Problem 49. (a) A toroid or torus. (b) A section of the toroid showing direction of the current for three loops: O means current toward you, and means current away from you. su ra if 50. (III) (a) Use Ampère's law to show that the magnetic field between the conductors of a coaxial cable (Fig. 20-61) is B = µoI/2™r if r (distance from center) is greater than the radius of the inner wire and less than the radius of the outer cylindrical braid (= ground). (b) Show B = 0 outside the 20-1 %3D 61. ( Insulating sleeve that %3D coaxial cable. 62. FIGURE 20-61 Cylindrical braid Coaxial cable. Solid wire Problem 50. 63. 20-9 and 20-10 Torque on Current Loop, Motors, Galvanometers Bol 51. (I) A single square loop of wire 22.0 cm on a side is placed with its face parallel to the magnetic field as in Fig. 20-34b. When 5.70 A flows in the coil, the torque on it is 0.325 m· N. What is the magnetic field strength? 52. (I) If the current to a motor drops by 12%, by what factor does the output torque change? B(T Bol BC 586 CHAPTER 20 Magnetism

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Magnetic Fields

Section: Chapter Questions

Problem 18P: A particle in the cyclotron shown in Figure 28.16a gains energy qV from the alternating power supply...

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Similar questions

What current is needed in the solenoid described in Exercise 22.58 to produce a magnetic field 104 times the Earth’s magnetic field of 5.00105T ?
Integrated Concepts (a) Show that the period of the circular orbit of a charged particle moving perpendicularly to a uniform magnetic field is T = 2(m/(qB). (b) What is the frequency f? (c) What is the angular velocity ( Note that these results are independent of the velocity and radius of the orbit and, hence, of the energy of the particle. (Figure 22.64.] Figure 22.6-4 Cyclotrons accelerate charged particles orbiting in a magnetic field by placing an AC voltage on the metal Dees, between which the particles move, so that energy is added twice each orbit. The frequency is constant, since it is independent of the particle energyThe radius of the orbit simply increases with energy until the particles approach the edge and are extracted for various experiments and applications.
Is the Earth's magnetic field parallel to the ground at all locations? If not, where is it parallel to the surface? Is its strength the same at all locations? If not, where is it greatest?
The mass and chaise of a water droplet are 1.0104g and 2.0108C , respectively. If the droplet is given an initial horizontal velocity of 5.0105im/s . what magnetic field will keep it moving in this direction? Why must gravity be considered here?
Measurements affect the system being measured, such as the current loop in Figure 22.56. (a) Estimate file field the loop creates by calculating the field at the center of a circular loop 20.0 cm in diameter carrying 5.00 A. (b) What is the smallest field strength this loop can be used to measure, if its field must alter the measured field by less than 0.0100%?
A mass spectrometer is being used to separate common oxygen- 16 from the much rarer oxygen-18, taken from a sample of old glacial ice. (The relative abundance of these oxygen isotopes is related to climatic temperature at the time the ice s deposited.) The ratio of the masses of these two ions is 16 to 18, the mass of oxygen-16 is 2.661026kg, , and they are singly charged and travel at 5.00106m/s in a 1.20-T magnetic field. What is the separation between their path when they hit a target after travet5ing a semicircle?
Integrated Concepts A pendulum is set up so that its bob (a thin copper disk) swings between the poles of a permanent magnet as shown in Figure 22.63. What is the magnitude and direction of the magnetic force on the bub at the lowest point in its path, if it has a positive 0.250C charge and is released from a height of 30.0 cm above its lowest point? The magnetic field strength is 1.50 T. (b) What is the acceleration of the bob at the bottom of its swing it its mass is 30.0 grams and it is hung from a fiexible string? Be certain to include a free-body diagram as pan of your analysis.
If a charged particle moves in a straight line through some region of space, can you say that the magnetic field in that region is necessarily zero?
Repeat Exercise 22.41, but with the loop lying flat on the ground with its current circulating counterclockwise (when viewed from above) in a location where the Earth’s field is north, but at an angle 45.0° below the horizontal and with a strength at 6.00105T.
Make a drawing and use RHR—2 to find the direction of the magnetic field of a current loop in a motor (such as in Figure 22.34). Then show that the direction of the torque on the loop is the same as produced by like poles repelling and unlike poles attracting.
Since the equation for torque on a current-carrying loop is =NIABsin, the units of N (m must equal units of A (m2 T. Verify this.
If one of the loops in Figure 22.49 is titled slightly relative to the other and then currents are in the same direction, what are the directions of the torques they exert on each other? Does this imply that the poles of the bar magnet—like fields they create will line up with each other if the loops are allowed to rotate?