   Chapter 19, Problem 28P

Chapter
Section
Textbook Problem

At a certain location, Earth has a magnetic field of 0.60 × 10−4 T, pointing 75° below the horizontal in a north-south plane. A 10.0-m-long straight wire carries a 15-A current, (a) If the current is directed horizontally toward the east, what are the magnitude and direction of the magnetic force on tile wire? (b) What are the magnitude and direction of the force if the current is directed vertically upward?

a)

To determine
The magnitude and direction of the magnetic force on the wire.

Explanation

Given info: The magnetic field of earth at the location is 0.60×104T pointing 75° below the horizontal in a north-south plane. The length of the wire is 10.0m . The current in the wire is 15A . The current is directed horizontally toward east.

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

When the current is directed horizontally toward east and the magnetic field is pointing 75° below the horizontal in a north-south plane, the angle θ will be 90° .

Substitute 15A for I , 0.60×104T for B , 10

b)

To determine
The magnitude and direction of the magnetic force on the wire.

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