(a)
The maximum induced emf in the coil.
(a)
Answer to Problem 71AP
The maximum induced emf in the coil is
Explanation of Solution
Let
At
Write the expression for the emf induced in the coil.
Here,
Substitute
Write the expression for the area of the loop.
Here,
The maximum value of
Conclusion:
Substitute
Substitute
Therefore, the maximum induced emf in the coil is
(b)
The maximum rate of change of magnetic flux through coil.
(b)
Answer to Problem 71AP
The maximum rate of change of magnetic flux through coil is
Explanation of Solution
Write the expression for the rate of change of magnetic flux.
The minimum value of
Conclusion:
Substitute ,
Therefore, the maximum rate of change of magnetic flux through coil is
(c)
The emf induced at
(c)
Answer to Problem 71AP
The emf induced at
Explanation of Solution
At
Conclusion:
Substitute
Therefore, the emf induced at
(d)
The torque exerted on the coil by the magnetic field when the emf is maximum.
(d)
Answer to Problem 71AP
The torque exerted on the coil by the magnetic field when the emf is maximum is
Explanation of Solution
The emf induced is maximum when
Write the expression for the torque.
Here,
Conclusion:
Substitute
Therefore, the torque exerted on the coil by the magnetic field when the emf is maximum is
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Chapter 31 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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