Concept explainers
(a)
The distance at which the magnitude of the magnetic field is
(a)
Answer to Problem 51P
The distance at which the magnitude of the magnetic field is
Explanation of Solution
Write the expression for the magnetic field on a wire.
Here,
Re-write the expression (I) in terms of
Conclusion:
Substitute
The distance at which the magnitude of the magnetic field is
(b)
The magnetic field
(b)
Answer to Problem 51P
The magnetic field
Explanation of Solution
Write the expression for the magnetic field on a wire.
Here,
Write the formula to calculate the net magnetic field,
Conclusion:
The distance is measured from the center. The value of
The value of
Substitute
Therefore, the magnetic field
(c)
The distance at which the magnetic field is one tenth of
(c)
Answer to Problem 51P
The distance at which the magnetic field is one tenth of
Explanation of Solution
Write the expression for the magnetic field on a wire.
Here,
Write the formula to calculate the net magnetic field,
Thus the new value for the
Conclusion:
Substitute
Consider a distance
The value for
Substitute
On further solving for
The distance at which the magnetic field is one tenth of
(d)
The magnetic field the cable create at point outside the cable.
(d)
Answer to Problem 51P
The magnetic field the cable create at point outside the cable is
Explanation of Solution
Write the expression for the magnetic field on a wire.
Here,
Write the formula to calculate the net magnetic field,
Conclusion:
The center wire in a coaxial cable carriers a current of
Thus, the magnetic field the cable create at point outside the cable is
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Chapter 22 Solutions
Principles of Physics: A Calculus-Based Text
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