Answered: The drawings show three situations in…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter22: Magnetism

Section: Chapter Questions

Problem 1PE: What is the direction of the magnetic force on a positive charge that moves as shown in each of the...

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Question

The drawings show three situations in which a positively charged particle is moving through a uniform magnetic field B with a velocity v. For each situation, what is the direction of the magnetic force F exerted on the particle?

Choice:

サ
B
+x
+x
+x
в
+2
+z
A
B
C
Direction of the Magnetic Force
A
в
サ
+z
The force is zero
a.
b.
サ
+x
-z
+y
ーツ
c.
-2
d.
The force is zero
-X
-X
e.
+x
The force is zero
-x

Expert Solution

Step 1

The expression for the force on the charged particle moving in a magnetic field is

$\vec{F} = q (\vec{v} \times \vec{B})$

In figure A)

$\begin{array}{rcl} \vec{v} \times \vec{B} & = & - \hat{j} \times \hat{k} \\ = & - \hat{i} (along - x direction) \end{array}$

In figure B)

$\begin{array}{rcl} \vec{v} \times \vec{B} & = & \hat{j} \times (- \hat{k}) \\ = & - \hat{i} (along - x direction) \end{array}$

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