   Chapter 19, Problem 44P

Chapter
Section
Textbook Problem

A long, straight wire going through the origin is carrying a current of 3.00 A in the positive z-direction (Fig. P19.44). At a point a distance r = 1.20 m from the origin on the positive x-axis, find the (a) magnitude and (b) direction of the magnetic field. At a point the same distance from the origin on the negative y-axis, find the (c) magnitude and (d) direction of the magnetic field. Figure P19.44

a)

To determine
The magnitude of the magnetic field.

Explanation

Given info: The current in the long, straight wire going through the origin is 3.00A . The direction of the current is in positive z-direction. The point where the measurement has to be done is at 1.20m from the origin on the positive x-axis.

Explanation:

The magnetic field due to the long straight conductor will be,

B=μ0I2πr

• μ0 is the permeability of free space
• I is the current
• r is the distance of the point from the straight conductor

Substitute 4π×107TmA-1 for μ0 , 3.00A for I , 1

b)

To determine
The direction of the magnetic field.

c)

To determine
The magnitude of the magnetic field.

d)

To determine
The direction of the magnetic field.

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