   Chapter 19, Problem 24P

Chapter
Section
Textbook Problem

A straight wire carrying a 3.0-A current is placed in a uniform magnetic field of magnitude 0.28 T directed perpendicular to the wire. (a) Find the magnitude of the magnetic force on a section of the wire having a length of 14 cm. (b) Explain why you can’t determine the direction of the magnetic force from the information given in the problem.

(a)

To determine
The magnitude of the magnetic force on the current wire carrying current.

Explanation

Given info: The magnitude of the current is 3A . The magnitude of the magnetic field is 0.28T directed perpendicular to the wire. The length of the section of wire is 14cm .

Explanation:

The magnitude of the magnetic force on a current carrying wire is given by,

F=BILsinθ

• B is the magnetic field
• I is the current on the wire
• L is the length of the wire
• θ is the angle between the direction of current and the magnetic field

Since the magnetic field and the current wire are perpendicular to each other,

F=BIL

Substitute 3A for I , 0

b)

To determine
Whether the direction of the magnetic force can be determined.

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