50. •• IP Consider the long, straight, current-carrying wires shown in Figure 22-39. One wire carries a current of 6.2 A in the positive y direction; the other wire carries a current of 4.5 A in the positive x direction. (a) At which of the two points, A or B, do you expect the magnitude of the net magnetic field to be greater? Explain. (b) Calculate the magnitude of the net mag- netic field at points A and B. A 16 cm 16 cm B 16 cm 16 cm 4.5 Á 6.2 A A FIGURE 22-39 Problems 50 and 51

50. •• IP Consider the long, straight, current-carrying wires shown in Figure 22-39. One wire carries a current of 6.2 A in the positive y direction; the other wire carries a current of 4.5 A in the positive x direction. (a) At which of the two points, A or B, do you expect the magnitude of the net magnetic field to be greater? Explain. (b) Calculate the magnitude of the net mag- netic field at points A and B. A 16 cm 16 cm B 16 cm 16 cm 4.5 Á 6.2 A A FIGURE 22-39 Problems 50 and 51

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter22: Magnetism

Section: Chapter Questions

Problem 61PE: To see why an MRI utilizes iron to increase the magnetic field created by a coil, calculate the...

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Construct Your Own Problem Consider a mass separator that applies a magnetic field perpendicular to the velocity of ions and separates the ions based on the radius of curvature of their paths in the field. Construct a problem in which you calculate the magnetic field strength needed to separate two ions that differ in mass, but not charge, and have the same initial velocity. Among the things to consider are the types of ions, the velocities they can be given before entering the magnetic field, and a reasonable value for the radius of curvature of the paths they follow. In addition, calculate the separation distance between the ions at the point where they are detected.
3. In Niels Bohr’s 1913 model of the hydrogen atom, an electron circles the proton at a distance of 5.29 × 10−11 m with a speed of 2.19 × 106 m/s. Compute the magnitude of the magnetic field this motion produces at the location of the proton.
Construct Your Own Problem Consider using the torque on a current-carrying coil in a magnetic field to detect relatively small magnetic fields (less than the field of the Earth, for example). Construct a problem in which you calculate the maximum torque on a current- carrying loop in a magnetic field. Among the things to be considered are the size of the coil, the number of loops it has, the current you pass through the coil, and the size of the field you wish to detect. Discuss whether the torque produced is large enough to be effectively measured. Your instructor may also wish for you to consider the effects, if any, of the field produced by the coil on the surroundings that could affect detection of the small field.
(a) Viewers of Star Trek hear of an antimatter drive on the Starship Enterprise. One possibility for such a futuristic energy source is to store antimatter charged particles in a vacuum chamber, circulating in a magnetic field, and then extract them as needed. Antimatter annihilates with normal matter, producing pure energy. What strength magnetic field is needed to hold antiprotons, moving at 5.00107m/s in a circular path 2.00 m in radius? Antiprotons have the same mass as protons but the opposite (negative) charge. (b) Is this field strength obtainable with today’s technology or is it a futuristic possibility?
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.
A particle’s path is bent when it passes through a region of non-zero magnetic field although its speed remains unchanged. This is very useful for “beam steering’’ in particle accelerators. Consider a proton of speed 4106m/s entering a region of uniform magnetic field 0.2 T over a 5-cm-wide region. Magnetic field is perpendicular to the velocity of the particle. By how much angle will the path of the proton be bent? (Hint: the particle comes out tangent to a circle.
A current-carrying coil in a magnetic field experiences a torque that is 75% of the maximum possible torque. What is the angle between the magnetic field and the normal to the plane of the coil?
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.
(a) Aircraft sometimes acquire small static charges, Suppose a supersonic jet has a 0.500C charge and flies due west at a speed of 660.m/s over Earth’s south magnetic pole, where the 8.00105T -T magnetic field points straight down into the ground, What are the direction and the magnitude of the magnetic force on the plane? fb) Discuss whether the value obtained in part (a) implies this is a significant or negligible effect,
What is the direction of the velocity of a negative charge that experiences the magnetic force shown in each of the three cases in Figure 22.51, assuming it moves perpendicular to B?
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?
Unreasonable Results A charged particle having mass 6.641027kg (that of a helium atom) moving at 8.70105m/s perpendicular to a 1.50T magnetic field travels in a circular path of radius 16.0 mm. (a) What is the charge of the particle? (b) What is unreasonable about this result? (c) Which assumptions are responsible?