Concept explainers
(a)
The magnitude and direction of the magnetic field at point
(a)

Answer to Problem 76PQ
The magnitude of magnetic field at point
Explanation of Solution
Write the expression for the magnetic field due to a current carrying wire as.
Here,
The direction of magnetic field on the point is given by the Right hand rule. When thumb is kept in the direction of the current then the direction of curling of the finger gives the direction of the magnetic field at that point.
The magnetic field on the point
Write the expression for the net field at the point
Here,
Conclusion:
Substitute
Substitute
Substitute
Thus, the magnitude of magnetic field at point
(b)
The magnitude and direction of the magnetic field at point
(b)

Answer to Problem 76PQ
The magnitude of magnetic field at point
Explanation of Solution
The magnetic field due to a current carrying wire is given by.
Here,
The direction of magnetic field on the point is given by the simple Right hand rule. When the thumb is kept in the direction of the current and the palm faces the point then the direction of curling of the finger gives the direction of the magnetic field at that point.
The magnetic field on the point
The field
The net field at the point
Here,
The direction of the magnetic field at point B is,
Conclusion:
Substitute
Substitute
The net field at point B is resolved into following components.
Substitute
Substitute
Substitute
Thus, the magnitude of magnetic field at point
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Chapter 30 Solutions
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