Concept explainers
(a)
The distance at which the magnitude of magnetic field is
(a)
Answer to Problem 21P
The distance at which the magnitude of magnetic field is
Explanation of Solution
Given info: The magnitude of magnetic field is
The formula to calculate the magnetic field is,
Here,
Deduce the formula to calculate the distance from equation (1).
Substitute
Thus, the distance at which the magnitude of magnetic field is
Conclusion:
Therefore, the distance at which the magnitude of magnetic field is
(b)
The magnetic field
(b)
Answer to Problem 21P
The magnetic field
Explanation of Solution
Given info: The magnitude of magnetic field is
Thus, the direction of the magnetic force per unit length on a wire located
The formula to calculate the magnetic field is,
Here,
The formula to calculate the net magnetic field is,
The distance is measured from the center. The value of
The value of
Substitute
Thus, the magnetic field
Conclusion:
Therefore, the magnetic field
(c)
The distance at which the magnetic field is one tenth of
(c)
Answer to Problem 21P
The distance at which the magnetic field is one tenth of
Explanation of Solution
Given info: The magnitude of magnetic field is
The formula to calculate the net magnetic field is,
The new value of
Substitute
Consider a distance
The value of
Substitute
Further solve for
Thus, the distance at which the magnetic field is one tenth of
Conclusion:
Therefore, The distance at which the magnetic field is one tenth of
(d)
The magnetic field the cable create at points outside the cable.
(d)
Answer to Problem 21P
The magnetic field that the cable creates at points outside the cable is
Explanation of Solution
The magnitude of magnetic field is
The formula to calculate the net magnetic field is,
The center wire in a coaxial cable carries a current is
Thus, the magnetic field that the cable creates at points outside the cable is
Conclusion:
Therefore the magnetic field that the cable creates at points outside the cable is
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Chapter 29 Solutions
Physics for Scientists and Engineers with Modern Physics
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