1. A circular current loop of 3 turns has radius 0.2 m and current 5 A. a. The current loop shown will act like a magnet. Which is true of the poles? • The north pole is below the current loop and the south pole is above. The north pole is above the current loop and the south pole is below. The north pole is out of the page and the south pole is into the page. • The north pole is into the page and the south pole is out of the page. • b. What is the direction of the magnetic dipole moment of the loop? Use the legend to indicate direction. C. What is the magnitude of the magnetic dipole moment of the current loop? d. The magnetic field along the axis of the current loop is 8₁ at a distance z₁ from the plane of the loop. What is the magnetic field at a distance 22₁ from the plane of the loop? Assume 2₁ » R and that there are no other sources of magnetic fields. (">>= "much greater than"). • 8₁/8 8₁ 8₁/4 • 28₁ • 8₁/2 • 48₁ • 8₁/√2 • 88₁ e ho g h a (out) i (in) i k zero

1. A circular current loop of 3 turns has radius 0.2 m and current 5 A. a. The current loop shown will act like a magnet. Which is true of the poles? • The north pole is below the current loop and the south pole is above. The north pole is above the current loop and the south pole is below. The north pole is out of the page and the south pole is into the page. • The north pole is into the page and the south pole is out of the page. • b. What is the direction of the magnetic dipole moment of the loop? Use the legend to indicate direction. C. What is the magnitude of the magnetic dipole moment of the current loop? d. The magnetic field along the axis of the current loop is 8₁ at a distance z₁ from the plane of the loop. What is the magnetic field at a distance 22₁ from the plane of the loop? Assume 2₁ » R and that there are no other sources of magnetic fields. (">>= "much greater than"). • 8₁/8 8₁ 8₁/4 • 28₁ • 8₁/2 • 48₁ • 8₁/√2 • 88₁ e ho g h a (out) i (in) i k zero

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 21P: (a) Aircraft sometimes acquire small static charges, Suppose a supersonic jet has a 0.500C charge...

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(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 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.
Noting that the magnetic field lines of a bar magnet resemble the electric field lines of a pair of equal and opposite charges, do you expect the magnetic field to rapidly decrease in strength with distance from the magnet? Is this consistent with your experience with magnets?
You are working for a company that creates special magnetic environments. Your new supervisor has come from the financial side of the organization rather than the technical side. He has promised a client that the company can provide a device that will create a magnetic field inside a cylindrical chamber that is directed along the cylinder axis at all points in the chamber and increases in the axial direction as the square of the value of y, where y is the in the axial direction and y = 0 is at the bottom end of the cylinder. Prepare a calculation to show that the field requested by your supervisor and promised to a client is impossible.
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.
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.
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 magnetized sewing needle has a magnetic moment of 9.70 mA m2. At its location, the Earths magnetic field is 55.0 T northward at 48.0 below the horizontal. Identify the orientations of the needle that represent (a) the minimum potential energy and (b) the maximum potential energy of the needlefield system. (c) How much work must be done on the system to move the needle from the minimum to the maximum potential energy orientation?
When a magnet is thrust into a coil as in Figure 23.4(a), what is the direction of the louse exerted by the coil on the magnet? Draw a diagram showing the direction of the current induced in the coil and the magnetic field it produces, to justify your response. How does the magnitude of the force depend on the resistance of the galvanometer?
A particle with electric charge is fired into a region of space where the electric field is zero. It moves in a straight line. Can you conclude that the magnetic field in that region is zero? (a) Yes, you can. (b) No; the field might be perpendicular to the particles velocity. (c) No; the field might be parallel to the particles velocity. (d) No; the particle might need to have charge of the opposite sign to have a force exerted on it. (e) No; an observation of an object with electric charge gives no information about a magnetic field.
A cosmic ray electron moves at 7.50106m/s perpendicular to the Earth's magnetic field at an altitude where field strength is 1.00105T. What is the radius of the circular pain the electron follows?
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?