Physics

Alan Giambattista, Betty McCarthy Richardson, Robert C. Richardson

ISBN #9780073404530

2nd Edition

2,795 Questions

250,136 Students Helped

Homework Questions

Summary

Learning Objectives

Key Concepts

Example Problems

Explanations

Common Mistakes

Summary

This section explores the nature of magnetic fields and the forces they exert on moving charges and current-carrying wires. It covers the mathematical formulation of the magnetic force using the cross product, the right-hand rule for determining vector directions, and the resulting circular or helical trajectories of charged particles. In addition to fundamental force laws, the section explains practical devices such as cyclotrons, mass spectrometers, and electromagnetic flowmeters, along with the use of Ampère’s law to calculate fields in various geometries. Finally, it discusses magnetic torques on current loops and the differing properties of magnetic materials, emphasizing the unity of electricity and magnetism.

Learning Objectives

Key Concepts

CONCEPT

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Example Problems

Example 1

At which point in the diagram is the magnetic field strength (a) the smallest and (b) the largest. Explain. FIGURE CANNOT COPY

Example 2

Draw vector arrows to indicate the direction and relative magnitude of the magnetic field at each of the points $A-F$.

Example 3

Two identical bar magnets lic next to one another on a table. Sketch the magnetic ficld lines if the north poles are at the same end.

Example 4

Two identical bar magnets lie next to one another on a table. Sketch the magnetic field lines if the north poles are at opposite ends.

Example 5

Two identical bar magnets lic onatable along a straight line with their north poles facing each other. Sketch the magnetic field lines.