c) What would happen to the magnetic field and the current if the magnet is moved rapidly back and forth?

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter24: Magnetic Fields
Section: Chapter Questions
Problem 102A
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a) What would happen to the magnetic field and the current if the direction of motion of the magnet is reversed?

b) What would happen to the magnetic field and the current if the magnet is moved more quickly in the same direction?

c) What would happen to the magnetic field and the current if the magnet is moved rapidly back and forth?

My Answer:

I attached my answer below as well as the drawing of the coil and magnet. I am just unsure as to whether my first to answers (a and b) are correct and then for c), what the affect on the magnetic field is. 

a) Current: If the direction of motion of the magnet was reversed then the direction of the current would also be reversed. 

Magnetic Field: Since the magnetic field in the coil wants to oppose the moving magnetic field, an induced magnetic field will be created that will attract the magnet and prevent it from moving away from the coil. 

 

b) Magnetic Field and Current: If the magnet moved more quickly in the same direction, then the magnetic field would increase in strength and a greater amount of current would be produced. This change in the magnetic field would induce a current in the coil. According to Lenz’s Law, when a current is induced in a coil by a changing magnetic field, the induced current must produce a magnetic field opposing the change that produced it. This would cause an induced magnetic field resisting the motion of the magnet and preventing it from accelerating. 

c) Current: If the magnet is moved rapidly back and forth, an alternating current can be produced.

Magnetic Field: ?

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