Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 31, Problem 11SP

Compute the magnitude of the magnetic field in air at a point 6.0 cm from a long straight wire carrying a current of 9.0 A.

Expert Solution & Answer
Check Mark
To determine

The magnitude of the magnetic field due to a long straight wire carrying a current of 9.0 A at a point 6.0 cm from the wire.

Answer to Problem 11SP

Solution:

30 μT

Explanation of Solution

Given data:

The distance from the current carrying wire is 6.0 cm.

The current through the wire is 9.0 A.

Formula used:

Write the expression for magnetic field due to a long straight current-carrying wire:

B=μ0I2πr

Here, B is the magnetic field, I is the current through the wire, r is the distance from the current carrying wire, and μ0 is the permeabilityof free space.

Explanation:

Recall the expression for magnetic due to long straight current-carrying wire:

B=μ0I2πr

Substitute 4π×107 Tm/A for μ0, 9.0 A for I, and 6.0 cm for r

B=(4π×107 Tm/A)(9.0 A)2π(6.0 cm)=(4π×107 Tm/A)(9.0 A)2π(6.0 cm(102 m1 cm))=3.0×105 T(106 μT1 T)=30 μT

Conclusion:

The magnitude of the magnetic field at a point 6.0 cmfrom the wireis 30 μT.

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