Concept explainers
(a)
To draw: The magnetic field pattern in the
(a)
Answer to Problem 30.72CP
The magnetic field pattern in the
Figure (1)
Explanation of Solution
Given info: The amount of current flow in infinitely long wire is
The magnetic field pattern in the
Figure (1)
From the right hand thumb rule, when the thumb is directed towards the direction of current, the curled fingers show the direction of magnetic field.
(b)
The value of magnetic field at origin.
(b)
Answer to Problem 30.72CP
The value of magnetic field at origin is
Explanation of Solution
Given info: The amount of current flow in infinitely long wire is
The direction of magnetic field due to current carry wire is shown below.
Figure (2)
Write the expression for the magnetic field due to current carrying wire.
Here,
From the given figure,
Substitute
The magnetic field component
The resultant magnetic field along
Substitute
From the figure (2),
Substitute
Conclusion:
Therefore, the value of magnetic field at origin is
(c)
The value of magnetic field at
(c)
Answer to Problem 30.72CP
The value of magnetic field at
Explanation of Solution
Given info: The amount of current flow in infinitely long wire is
From the equation (3), the expression for magnetic field is,
The value of magnetic field at
Conclusion:
Therefore, the value of magnetic field at
(d)
The magnetic field at points along the
(d)
Answer to Problem 30.72CP
The magnetic field at points along the
Explanation of Solution
Given info: The amount of current flow in infinitely long wire is
From the calculated value in part (b), the magnetic field at points along the
Conclusion:
Therefore, the magnetic field at points along the
(e)
The distance along the positive
(e)
Answer to Problem 30.72CP
The magnetic field is maximum at
Explanation of Solution
Given info: The amount of current flow in infinitely long wire is
From the calculated value in part (b), the magnetic field at points along the
For maximum value of
Substitute
Substitute
Conclusion:
Therefore, the magnetic field is maximum at
(f)
The maximum value of magnetic field.
(f)
Explanation of Solution
Given info: The amount of current flow in infinitely long wire is
From the calculated value in part (b), the magnetic field at points along the
Substitute
Substitute
Simplify further,
Conclusion:
Therefore, the maximum value of magnetic field is
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Chapter 30 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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