64. • CE The three wires shown in Figure 22-42 are long and straight, and they each carry a current of the same magnitude, 1. The currents in wires 1 and 3 are out of the page; the current in wire 2 is into the page. What is the direction of the magnetic force experienced by wire 3? L. 16 FIGURE 22-42 Problems 64 and 65

64. • CE The three wires shown in Figure 22-42 are long and straight, and they each carry a current of the same magnitude, 1. The currents in wires 1 and 3 are out of the page; the current in wire 2 is into the page. What is the direction of the magnetic force experienced by wire 3? L. 16 FIGURE 22-42 Problems 64 and 65

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter19: Magnetism

Section19.8: Magnetic Force Between Two Parallel Conductors

Problem 19.5QQ: Which of the following actions would double the magnitude of the magnetic force per unit length...

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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.
How far from the starter cable of a car, carrying 150 A, must you be to experience a field less than the Earth's (5.00105T) ? Assume a long straight wire carries the current. (In practice, the body of your car shields the dashboard compass.)
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.
A physicist is designing a cyclotron to accelerate protons to one-tenth the speed of light. The magnetic field will have a strength of 1.5 T. Determine [a) the rotational period of the circulating protons and (b) the maximum radius of the protons' orbit.
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.
Four different proton velocities are given. For each case, determine the magnetic force on the proton in terms of e, v0and B0.
(a) Aircraft sometimes acquire small static charges. Suppose a supersonic jet has a 0.500C charge and ?ies due west at a speed of 660 m/s ever the Earth’s south magnetic pole, where the 8.00105T magnetic field points straight up. What are the direction and the magnitude of the magnetic force on the plane? (b) Discuss whether the value obtained in part (a) implies this is a significant or negligible effect.
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 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.
To see why an MRI utilizes iron to increase the magnetic field created by a coil, calculate the current needed in a 400-looppermeter circular coil 0.660 m in radius to create a 1.20T field (typical of an MRI instrument) at its center with no iron present. The magnetic field of a proton is approximately like that of a circular current loop 0.6501015m in radius carrying 1.05104A. What is the field at the center of such a loop?
An example of magnetohydrodynamics (MHD) comes from the flow of a river (salty water). This fluid interacts with the Earth’s magnetic field to produce a potential difference between the two river banks. How would you go about calculating the potential difference?
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?