(a)
The induced current in the ring.
(a)
Answer to Problem 11P
The induced current in the ring is
Explanation of Solution
Write the expression to calculate the magnetic flux through the loop.
Here,
Write the expression for the induced emf by Faraday law.
Here,
Write the expression for the area.
Here,
Write the expression for the magnetic field.
Here,
Substitute
Write the expression for the induced current.
Substitute
Conclusion:
Substitute
The direction of the current is counter clockwise.
Therefore, the induced current in the ring is
(b)
The magnitude of the magnetic field at the center of the ring
(b)
Answer to Problem 11P
The magnitude of the magnetic field at the center of the ring is
Explanation of Solution
Write the expression to calculate the magnetic field at the center of the ring.
Here,
Conclusion:
Substitute
Therefore, the magnitude of the magnetic field at the center of the ring is
(c)
The direction of the magnetic field at the center of the ring.
(c)
Answer to Problem 11P
The direction of the magnetic field at the center of the ring is to the left.
Explanation of Solution
The magnetic field of the solenoid points towards the right but the induced field opposes the original field. So, the magnetic field at the center of the ring will be directed towards the left.
Conclusion:
Therefore, the direction of the magnetic field at the center of the ring is to the left.
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Chapter 31 Solutions
Physics: for Science.. With Modern. -Update (Looseleaf)
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