   Chapter 19, Problem 1CQ

Chapter
Section
Textbook Problem

Figure CQ19.1 shows a positive and a negative charge each moving in the xy-plane through three different magnetic fields. In each case, find the direction of the magnetic force on the charged panicle. Indicate your answers as +x or −x for the positive or negative x- direction and similarly for the y- and z-directions. Figure CQ19.1

a)

To determine
The direction of the magnetic force.

y

Explanation
The magnetic force on a moving charged particle is given by,

F=q(v×B)

The velocity is directed along +x and the magnetic field is along +z axis. Hence using right hand thumb rule, the direction of the force will be y .

Conclusion: The direction of the magnetic force will be y .

b)

To determine
The direction of the magnetic force.

+y

Explanation
The magnetic force on a moving charged particle is given by,

F=q(v×B)

The velocity is directed along +x and the magnetic field is along z axis. Hence using right hand thumb rule, the direction of the force will be +y .

Conclusion: The direction of the magnetic force will be +y .

c)

To determine
The direction of the magnetic force.

+z

Explanation
The magnetic force on a moving charged particle is given by,

F=q(v×B)

The velocity is directed along +x and the magnetic field is in the xy plane. Hence using right hand thumb rule, the direction of the force will be +z .

Conclusion: The direction of the magnetic force will be +z .

d)

To determine
The direction of the magnetic force.

y

Explanation
The magnetic force on a moving negatively charged particle is given by,

F=q(v×B)

The velocity is directed along +x and the magnetic field is along +z axis. Hence using right hand thumb rule, the direction of the force will be +y .

Conclusion: The direction of the magnetic force will be y .

e)

To determine
The direction of the magnetic force.

y

Explanation
The magnetic force on a moving negatively charged particle is given by,

F=q(v×B)

The velocity is directed along +x and the magnetic field is along +z axis. Hence using right hand thumb rule, the direction of the force will be +y .

Conclusion: The direction of the magnetic force will be y .

f)

To determine
The direction of the magnetic force.

z

Explanation
The magnetic force on a moving charged particle is given by,

F=q(v×B)

The velocity is directed along +x and the magnetic field is in the xy plane. Hence using right hand thumb rule, the direction of the force will be z .

Conclusion: The direction of the magnetic force will be z .

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 