Concept explainers
(a)
Find the magnitude and direction of the magnetic field due to the two loops at the origin.
(a)
Answer to Problem 29PQ
The direction of the magnetic field is out of the page and magnitude of magnetic field is
Explanation of Solution
Assume that magnetic field due to smaller loop is
Write the expression for magnetic field due to smaller loop as.
Here,
Write the expression for magnetic field due to larger loop as.
Here,
The direction of the magnetic field is outward.
Write the expression for net magnetic field as.
Substitute
Rearrange the above equation as.
Conclusion:
Substitute
Thus the direction of the magnetic field is out of the page and magnitude of magnetic field is
(b)
Determine the radius
(b)
Answer to Problem 29PQ
The magnetic field at the origin to be zero for
Explanation of Solution
When
Write the expression for the magnetic field at the origin to be zero as.
Rearrange the above equation as.
Rearrange the above equation as.
Here,
Conclusion:
Substitute
Thus, the magnetic field at the origin to be zero for
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Chapter 30 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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