Concept explainers
(a)
The magnitude and direction of the magnetic field in terms of
(a)
Answer to Problem 49CP
The magnetic field in terms of
Explanation of Solution
Given info: The given figure is shown below:
Figure (1)
Write the expression for the current in the solid conductor is,
Here,
Formula to calculate the net area of the conductor is,
Replace
Rearrange for
Write the expression for the area of the solid conducting part is,
Here,
Write the expression for the area of the cavity part is,
From the right hand rule, the current is directed out of the page so, the direction of magnetic field at point
Formula to calculate the magnetic field produces at point
Here,
Substitute
Formula to calculate the magnetic field produces at point
Substitute
Since both the cavities are of same hence the field will be same.
Formula to calculate the net magnetic field produces at point
Substitute
Substitute
Conclusion:
Therefore, the magnetic field in terms of
(b)
The magnitude and direction of the magnetic field in terms of
(b)
Answer to Problem 49CP
The magnitude of the magnetic field in terms of
Explanation of Solution
From the right hand rule, the current is directed out of the page so, the direction of magnetic field at point
Formula to calculate the magnetic field produces at point
Here,
Substitute
Formula to calculate the magnetic field produces at point
Substitute
Since both the cavities are of same hence the field will be same.
Formula to calculate the net magnetic field produces at point
Substitute
Substitute
Conclusion:
Therefore, the magnitude of the magnetic field in terms of
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Chapter 29 Solutions
Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
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