(a)
The magnitude of flux due to the current in the strip.
(a)
Answer to Problem 44E
The elemental flux through the strip is
Explanation of Solution
Write the expression for flux in the through strip.
Here,
Write the expression for the magnetic field in the strip.
Here,
Write the expression for the area of the strip.
Here,
Conclusion:
Substitute
Thus, the elemental flux through the strip is
(b)
The magnitude of the flux through the loop.
(b)
Answer to Problem 44E
The flux through the loop is
Explanation of Solution
Write the expression for the elemental flux through the strip in the loop.
Conclusion:
Integrate equation (2).
Here,
Solve the above integration.
Thus, the flux through the loop is
(c)
The magnitude of the induced EMF through the loop.
(c)
Answer to Problem 44E
The induced EMF through the loop is
Explanation of Solution
Write the expression for induced EMF.
Here,
Write the expression for the flux through the loop.
Conclusion:
Differentiate equation (4) with respect to
Here,
Substitute
Thus, the induced EMF through the loop is
(d)
The induced current in the loop.
(d)
Answer to Problem 44E
The induced current in the loop is
Explanation of Solution
Write the expression for induced EMF in the loop.
Write the expression for the induced current in the loop.
Here,
Conclusion:
Substitute
Thus, the induced current in the loop is
(e)
The direction of
(e)
Answer to Problem 44E
The direction of the induced current is clockwise.
Explanation of Solution
Write the expression for
Conclusion:
The induced current is proportional to the change in
Thus, the direction of the induced current is clockwise.
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Chapter 20 Solutions
General Physics, 2nd Edition
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