Concept explainers
(a)
The magnitude and direction of magnetic field at point
(a)
Answer to Problem 28PQ
The magnetic field at the point
Explanation of Solution
Refer to figure P30.28; the direction of the magnetic field can be described by the Right hand rule.
The Right Hand Thumb rule states that when a conductor is held such that the thumb points in the direction of the current flowing through the conductor, then the direction of curling of the fingers around the conductor shows the direction of magnetic field.
Write the expression for magnetic field at point
Here,
Write the expression for magnetic field at point
Here,
Write the expression for magnetic field at point
Here,
Write the expression for the net magnetic field at point
Here,
Conclusion:
Substitute
Substitute
Thus, the magnetic field at the point
(b)
The magnitude and direction of magnetic field at point
(b)
Answer to Problem 28PQ
The magnetic field at the point
Explanation of Solution
Refer to figure P30.28;
Write the expression for magnetic field at point
Here,
Consider the distance of point
Write the expression for magnetic field at point
Here,
Consider the distance of point
Write the expression for magnetic field at point
Here,
Write the expression for the net magnetic field at point
Here,
Conclusion:
Substitute
Substitute
Thus, the magnetic field at the point
(c)
The magnitude and direction of magnetic field at point
(c)
Answer to Problem 28PQ
The magnetic field at the point
Explanation of Solution
Refer to figure P30.28; write the expression for magnetic field at point
Here,
Write the expression for magnetic field at point
Here,
Consider the distance of point
The angle made by the magnetic field vector from the X-axis is.
Write the expression for magnetic field at point
Here,
The net magnetic field at point
Here,
Conclusion:
Substitute
Substitute
Thus, the magnetic field at the point
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Chapter 30 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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