Book cover for Physics

Physics

John D. Cutnell, Kenneth W. Johnson, David Young, Shane Stadler

ISBN #9781118486894

10th Edition

2,562 Questions

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Summary
Learning Objectives
Key Concepts
Example Problems
Explanations
Common Mistakes

Summary

This module covers the fundamental aspects of magnetic forces and magnetic fields. It explains how moving charges and currents produce magnetic fields, and how these fields interact with moving charges to create forces. Through the application of right-hand rules, Ampère’s law, and Faraday’s law, the behavior of charged particles in magnetic fields (such as circular motion) and the practical operation of devices like mass spectrometers, loudspeakers, and generators are elucidated. The interplay between magnetic and electric forces, as well as induced currents in varying magnetic fields, forms the core of electromagnetic applications in modern technology.

Learning Objectives

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Key Concepts

CONCEPT

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Example Problems

Example 1

In New England, the horizontal component of the earth's magnetic field has a magnitude of $1.6 \times 10^{-5} \mathrm{T} .$ An electron is shot vertically straight up from the ground with a speed of $2.1 \times 10^{6} \mathrm{m} / \mathrm{s} .$ What is the magnitude of the acceleration caused by the magnetic force? Ignore the gravitational force acting on the electron.

Example 2

(a) A proton, traveling with a velocity of $4.5 \times 10^{6} \mathrm{m} / \mathrm{s}$ due east, experiences a magnetic force that has a maximum magnitude of $8.0 \times 10^{-14} \mathrm{N}$ and a direction of due south. What are the magnitude and direction of the magnetic field causing the force? (b) Repeat part (a) assuming the proton is replaced by an electron.

Example 3

At a certain location, the horizontal component of the earth's magnetic field is $2.5 \times 10^{-5} \mathrm{T}$, due north. A proton moves eastward with just the right speed for the magnetic force on it to balance its weight. Find the speed of the proton.

Example 4

A charge of $-8.3 \mu \mathrm{C}$ is traveling at a speed of $7.4 \times 10^{6} \mathrm{m} / \mathrm{s}$ in a region of space where there is a magnetic field. The angle between the velocity of the charge and the field is $52^{\circ} .$ A force of magnitude $5.4 \times 10^{-3} \mathrm{N}$ acts on the charge. What is the magnitude of the magnetic field?

Example 5

When a charged particle moves at an angle of $25^{\circ}$ with respect to a magnetic field, it experiences a magnetic force of magnitude $F .$ At what angle (less than $90^{\circ}$ ) with respect to this field will this particle, moving at the same speed, experience a magnetic force of magnitude $2 F ?$
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Step-by-Step Explanations

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Common Mistakes

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