Concept explainers
(a)
Whether the magnetic moment of the coil make angle with the unit vector
(a)
Answer to Problem 52P
The coil makes an angle of
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
The angel that the coil makes with the y axis is
In the Figure 1, the angel that the coil makes with y axis is
Conclusion:
Therefore, the coil makes an angle of
(b)
The expression for
(b)
Answer to Problem 52P
The expression for
Explanation of Solution
Given:
The angle
Formula:
The normal drawn to the coil in the plane of positive
Calculation:
The value of
Conclusion:
Therefore, the expression for
(c)
The magnetic moment of the coil.
(c)
Answer to Problem 52P
The value of the magnetic field is
Explanation of Solution
Given:
The length of the coil
The width of the coil
The current
The magnetic field density
Formula:
The expression for the area of the loop is given by,
The expression to determine the value of
The expression to determine the magnetic moment of the coil is given by,
Calculation:
The area of the loop is calculated as,
The value of
The magnetic moment of the coil is calculated as,
Conclusion:
Therefore, the value of the magnetic moment is
(d)
The torque on the coil when the magnetic field is constant.
(d)
Answer to Problem 52P
The torque on the coil is
Explanation of Solution
Formula:
The expression for the torque on the coil is given by,
Calculation:
The value of the torque on the coil is calculated as,
Conclusion:
Therefore, the torque on the coil is
(e)
The potential energy of the coil.
(e)
Answer to Problem 52P
The potential energy of the coil is
Explanation of Solution
Formula:
The expression to determine the potential energy of the coil is given by,
Calculation:
The potential energy of the coil is calculated as,
Conclusion:
Therefore, the potential energy of the coil is
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Chapter 26 Solutions
Physics For Scientists And Engineers
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