How Does the Source of EMF Change with Movement in a Magnet and Coil System?

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Discussion Overview

The discussion centers around the differences in the origin of electromotive force (emf) in a system involving a magnet and a coil, specifically when either the magnet is stationary and the coil moves, or the coil is stationary and the magnet moves. Participants explore theoretical implications, mathematical considerations, and practical examples related to electromagnetic induction.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning
  • Experimental/applied

Main Points Raised

  • Some participants suggest that there is no difference in the origin of emf between the two scenarios, asserting that the only distinction arises if one of the objects is accelerating.
  • Others argue that the motion of the magnet or coil can lead to different conditions for inducing emf, particularly emphasizing the role of uniform versus non-uniform magnetic fields.
  • A participant notes that when the coil moves, motional emf is induced, while the motion of a magnet with a non-uniform field changes the field's magnitude at the coil's position, leading to emf according to Maxwell-Faraday Law.
  • Some contributions highlight that a stationary coil in a constant magnetic field experiences no emf unless there is a change in magnetic field strength or flux through the coil.
  • There are discussions about the mathematical representation of these scenarios, including line integrals and the concept of cutting magnetic field lines.
  • Participants also delve into practical applications, such as the operation of speakers, and how they relate to the principles of emf and magnetic fields.

Areas of Agreement / Disagreement

Participants express differing views on whether the scenarios of moving the magnet or the coil yield different outcomes regarding emf. While some assert equivalence, others provide counterarguments based on specific conditions and mathematical principles, indicating that the discussion remains unresolved.

Contextual Notes

Limitations include the dependence on definitions of uniform and non-uniform magnetic fields, as well as the assumptions regarding the motion of the coil and magnet. The discussion also touches on the complexities of electromagnetic theory without reaching a consensus on the implications of these scenarios.

Who May Find This Useful

This discussion may be of interest to students and professionals in physics, electrical engineering, and related fields, particularly those exploring concepts of electromagnetism and electromagnetic induction.

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EDIT! Hmmm, sorry.
What is the difference between the origin of the emf in a small current loop when;
a) a magnet is stationary & the coil moves,
b) the coil is stationary & the magnet moves


This was the original message, now realized to be incorrect.
A current is generated when a magnet & coil come close to one another, but is there any difference between;
a) when a magnet is stationary & the coil moves,
b) when the coil is stationary & the magnet moves.

Thank you.
 
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What is the difference between the origin of the emf in a small current loop when;
a) a magnet is stationary & the coil moves,
b) the coil is stationary & the magnet moves

Um... nothing.
I think the only way to tell the difference is if one or the other is accelerating.
 
That's exactly why it's called EMF. In the old days, electricity and magnetism were seen as two completely different things. It is due to a bunch of 19th century physicists - notably Farady and Maxwell - that we found out that they are really the same thing.

As Simon remarks, the idea that the laws of physics should look the same to observers at constant speed relative to each other (because each of them can claim that he is at rest and the other is not) imposes quite heavy (mathematical) restrictions, which eventually lead to Maxwell's laws.
 
According to the beginning of this episode of the Mechanical Universe, this situation was a starting point for Einstein's special theory of relativity (fast forward to 1 minute 22 seconds): http://www.learner.org/vod/vod_window.html?pid=613
 
Is it different mathematically, though?
I'm under the impression that it can be shown to be different in terms of line integrals, but not qite sure how.
 
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I believe that when the coil moves, motional emf is induced in it. When the magnet moves, because its field is not uniform, its magnitude changes with time at the position of the coil. This is accompanied by an electric field which results in an emf in the coil, as given by the Maxwell-Faraday Law, which is one of Maxwell's equations. If the magnet had a uniform field, its motion would not result in a change in magnitude at the position of the coil and there would be no emf. But, if instead, the coil moved in this uniform magnetic field, an emf would be induced in it.
 
There is no difference, as Simon says.
MS La Moreaux said:
I believe that when the coil moves, motional emf is induced in it. When the magnet moves, because its field is not uniform, its magnitude changes with time at the position of the coil. This is accompanied by an electric field which results in an emf in the coil, as given by the Maxwell-Faraday Law, which is one of Maxwell's equations. If the magnet had a uniform field, its motion would not result in a change in magnitude at the position of the coil and there would be no emf. But, if instead, the coil moved in this uniform magnetic field, an emf would be induced in it.
This is incorrect.
 
MS La Moreaux said:
If the magnet had a uniform field, its motion would not result in a change in magnitude at the position of the coil and there would be no emf.
You can still induce a current in a uniform B field by changing the area of the loop perpendicular to the magnet ... you can do this with a stationary loop and a moving magnet by changing the angle of the magnet and the other way by changing the angle of the loop. It is how modern electricity generators typically work. The magnitude of B everywhere on, around, or within, the loop need not change.
 
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  • #10
True, coil rotation in a uniform field will induce an emf. But it still doesn't matter whether it is the magnet or the coil that moves, contrary to what MS La Moreaux stated.
 
  • #11
A stationary coil in a constant magnetic field experiences no emf. The motion of the magnet is irrelevant. It only becomes relevant if the motion of the magnet results in a changing magnetic field.
 
  • #12
True, coil rotation in a uniform field will induce an emf. But it still doesn't matter whether it is the magnet or the coil that moves, contrary to what MS La Moreaux stated.
That's what I said ;)

The statement of belief in post #7 was that if the magnitude of the B field does not change then there is no induced emf. You asserted that this was incorrect and I sought to support your assertion by providing an example. Sorry for the confusion.
 
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  • #13
All that is required for an emf is that the wires of the coil "cut" the lines of the magnetic field.

The field can be uniform as it is ( almost) in a d'arsendal meter movement.
 
  • #14
MS La Moreaux said:
A stationary coil in a constant magnetic field experiences no emf. The motion of the magnet is irrelevant. It only becomes relevant if the motion of the magnet results in a changing magnetic field.
This again is slightly off the mark. It is not the field at the loop that counts, but the integrated flux across the loop area. An emf is produced in response to time-varying flux.
Simon Bridge said:
That's what I said ;)

The statement of belief in post #7 was that if the magnitude of the B field does not change then there is no induced emf. You asserted that this was incorrect and I sought to support your assertion by providing an example. Sorry for the confusion.
Likewise sorry if I misunderstood. You and I are on the same page.
 
  • #15
Thank you all for the input.

As with many things which seem trivial in the definition there are always different perspectives & appreciate the constructive arguments here.
 
  • #16
So could someone explain how a radio speaker works where the field is radial. The coil is perpendicular to the field and a current causes a force perpendicular to both Where is the chance in flux per unit time?
 
  • #17
As with many things which seem trivial in the definition there are always different perspectives & appreciate the constructive arguments here.
Reality is not a matter of opinion, and perspective is a matter of geometry. To see someone elses POV, you just need ruler and compass.
So could someone explain how a radio speaker works where the field is radial. The coil is perpendicular to the field and a current causes a force perpendicular to both Where is the chance in flux per unit time?
I don't think that description is correct for the speakers I know about - but I may be misunderstanding you - do you have a reference?

Anyway:
The change in flux comes from the signal - as you know.
Under the speaker cone is an electromagnet in which the current varies with the signal, varying the magnetic field-strength, and thus the flux.
http://electronics.howstuffworks.com/speaker6.htm
 
  • #18
Your source is overly simplistic. The magnet is at the back of the speaker but the lines of magnetic flux are conducted through soft iron to a Cylindrical gap. A voice coil exists within this gap. The voice coil moves perpendicular to both the radial field and the direction of the coil.

These same voice coil movements were used in the early 8 inch floppy disks.
 
  • #19
Your source is overly simplistic.
So show me your source.
 
  • #20
Take apart a speaker.
 
  • #21
We have been discussing induced EMF's, which are described by Faraday's law. This is a new topic and belongs in a new thread, because loudspeaker operation depends on the Lorentz force \vec{F}=q\vec{v}\times\vec{B}
It describes how the force is orthogonal to both current I=qv and field B.
 
  • #22
Let us shed a little light on the subject by considering a case simpler than a coil, namely the Faraday Paradox. This employs two disks, say of the same size. One is made of copper and the other is a magnet with its faces the poles. These disks are arranged face to face, close but not touching. Each is mounted on an axle like a wheel and the axles are colinear. If the copper disk is spun while the magnet is stationary, a non-electrostatic emf appears between the copper disk's center and rim. If the magnet is spun and the copper disk remains stationary, there is no emf in the copper disk.
 
  • #23
There seems to be two effects here. One where a coil is put into or out of a magnetic field and a EMF is produced.

But the loudspeaker has a radial magnetic field in the shape of a cylinder and a EMF is produced when the coil is moved up or down . The field inside the coil is the same before and after the movement.
 
  • #24
arydberg said:
Take apart a speaker.
Found one - it looks just like the link I gave you above.
There is a cylindrical magnet, with a coil on a diaphragm. Input wires go to the coil. The field near the coil is not radial.
Note - the speaker back sticks nicely to my fridge.

Please provide a clear reference of what you are trying to describe.
But the loudspeaker has a radial magnetic field in the shape of a cylinder and a EMF is produced when the coil is moved up or down .
Sounds like you are thinking of a microphone - you speak into a diaphragm, which vibrates, moving a coil back and forth next to a magnet, which induces an emf, producing the signal.

A speaker goes the other way - a varying current is supplied directly to the coil. No need to induce an emf to make it work.
This changes the magnetic field of the coil, changing the amount that it is attracted to the magnet. The field inside the coil changes with the input signal.
 
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  • #25
You have to take it apart. Cut the voice coil wires. Use a razor blade and cut the cone loose, Cut around the spider and lift out the cone & voice coil assembly and you will see what i mean.
 
  • #26
Nope - done it - don't see what you mean. The speaker I got off an old computer chassis looks like the diagram in the link after cutting it open.

I can investigate the fields with a small compass and I can trace the wires - even put an ammeter on the wires to confirm that there is a current flowing in the coil in response to the input signal. Using a low frequency input I can confirm that the current causes the movement in the speaker, and the compass confirms that the current changes the magnetic field of the coil.

The cylindrical magnet does not have a strictly cylindrical field - the field lines wrap around it like I expected.

Probably I have misunderstood your description.
That is why I am asking for a reference, or perhaps you can rephrase your question to highlight the bit that puzzles you.

Or maybe you can answer for me:
Why would you need to induce an emf as part of the normal operation of a speaker?
Surely the current from the output of the sound-system changes the flux from the coil?
 
  • #28
arydberg said:
That site says:
Voice Coils operate on the principal of the Lorentz Force Equation ... Simply stated, a current carrying conductor placed in a magnetic field will have a force exerted upon it. This force is proportional to the direction and magnitude of the current and the flux density field. Since the permanent magnet flux density field is fixed, the direction of the linear displacement depends on the polarity of input current. The amount of force that is produced is directly proportional to the magnitude of the input current.
... Isn't that what I've been saying... the changing flux is created by the current in the coil?
If they talk about inducing an emf, I missed it.

How do these things support:
So could someone explain how a radio speaker works where the field is radial. The coil is perpendicular to the field and a current causes a force perpendicular to both Where is the chance in flux per unit time?
? Answer: in the coil.

Were thinking of a magnet constructed as a hollow cylinder, where one pole is inside the cylinder and the other outside?
 
  • #29
Simon Bridge said:
Were thinking of a magnet constructed as a hollow cylinder, where one pole is inside the cylinder and the other outside?
More like two concentric cylinders, with the voice coil in between.

The concept of flux change is not central to loudspeaker operation, because the motion results from the Lorentz force instead.
 
  • #30
The concept of flux change is not central to loudspeaker operation, because the motion results from the Lorentz force instead.
Well yes ...
likewise induced emf.
 

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