cabraham said:
Ref bold quote - this is OOTA science (out of thin air). Where did you get this? Source/reference please. "The edge applies a force" to the e-" Indeed? The edge, just what is "the edge"? Atomic nuclei at the outer layer, free electrons at outer layer, just what, may I ask, is this "edge" which applies a force?
Although there are inner forces in the wire which "hold" the electron preventing it from jumping away, these forces do not impart motion to the wire. I explained the motion, how it is derived, along with others, in my link found in my previous post. If you wish to discuss how the force on the wire is generated, please review the thread I linked to, then feel free to raise questions, or challenge my position, or that of others.
Also, not to be personal, but what is the extent of your background regarding e/m fields, energy conversion (transformers, motors, generators, relays, etc.), relativity, quantum mechanics, etc.? This forum is a good one, expecting posters to provide proof, theory, empirical measurement, etc. as support for what they state. To simply state "this is how it really works" without anything to back it up, is nothing but dust in the wind. Again, I do not question your intelligence, but I ask just how you know that what you claim is true, when it runs counter to established motor/generator/e/m fields theory, practice, & observation? Best regards.
Claude
My background in e/m fields, electronics, relativity and quantum mechanics is pretty strong. I have added some information on my personal profile, open to registered users of this forum. I have not included any information specific enough to track me. You can believe what you want about me. Whatever you think, I have heard worse.
What I wrote is somewhat straightforward for physicists and engineers. I don't think that I have to provide empirical evidence for a simple idea. I was referring to your own diagram and your own words. I think that your diagram is not completely labeled. You did not label the relevant forces, their direction or the point they are acting on. You also did not mention the relevant physical constraints, such as the current having to follow the rigid wire. You also didn't what object the work is being done on.
In my coursework and experience, one can't have a physical constraint without a corresponding force or a force equivalent. One can "eliminate" the force using a change of variable. This leads to the concept of generalized forces. However, you one can't eliminate a physical constraint by ignoring it.
The charge carrier in the circuit are physically constrained to the wire by some type of force, the details of which are unimportant in your problem. The important point here is that the charge carriers are not the entire wire. The wire also contains a medium that maintains the circuit. The wire, carrier and medium, constitutes a rigid body.The wire itself is physically constrained to keep its shape by rigid body forces. Unless there was some type of force on the charge carrier, other than the magnetic field, the charge carrier would leap from the wire. Thus, the path of the carrier is constrained by internal forces.
I am using the phrase "charge carrier" to distinguish it from free electrons. According to solid state physics, there are all sorts of carriers that may be carrying the charge. Fortunately, it doesn't matter precisely what the charge carrier is. The charge carrier is traveling in a metallic medium that may be crystalline. Fortunately, I doesn't matter precisely what this medium is. It can be amorphous, or a polymer. All that matters is that there is a force between the medium and the carrier such that the carrier can't leave the wire.
The magnetic field can create a force on the medium, merely by applying a force to the carrier. The magnetic field pushes the carrier, which pushes the medium. However, the direction of the force exerted by the medium on the carrier is in the opposite direction of the direction of motion of that carrier. Therefore, the force keeping that carrier in the medium is doing work on the carrier.
Repeat: The direction of the force of the medium on the carrier is not the same as the direction of the magnetic force on the carrier. The medium can do work on the carrier. Therefore, the carrier can do work on the medium.
Your diagram shows a rigid loop of wire on an axle rotating in a magnetic field. The work is being done by the rigid loop of wire on a wheel that you labelled the commutator.
The internal forces of a rigid body cancel out. The wire, carriers and medium, is rigid. Therefore, you can ignore the internal forces only if you treat the wire as one rigid body. A free carrier in the wire actually has two forces on it: the force of the magnetic field and the force of the medium. So unless you want to analyze the details of the medium, you have to treat the entire wire as a single object. You can't look at the carrier as somehow being isolated from the medium.
If you are asking about the work being done on the commutator, then you should draw the commutator by itself as well as the force vectors that are working on it. If you do so, then you will notice that the magnetic field isn't even touching the commutator. Therefore, the magnetic field can't be doing work on the commutator.
The only force on the commutator is a contact force coming from the rigid loop of wire. The rigid wire contains a substrate and the charge carrier, whatever it is.
If you want to know about the work done on the loop of wire, draw the force diagram of the loop of wire by itself without the magnet and without the commutator. Then draw the forces. There is the force of the magnet on the left side of the wire, the force of the magnet on the right side of the wire, the force of the commutator on the right side of the wire, and the force of the commutator on the left side of the wire.
The rigid loop of wire is at equilibrium. Please note that at equilibrium, the total force on the rigid loop has to be zero and the total torque on the rigid loop has to be zero.
The external forces are the contact forces on the commutator and the force of the magnetic field on the free carrier. As I mentioned, the force of the free carrier on the medium is an internal force. It cancels out the force of the medium on the free carrier. and so can be ignored. Therefore, the strength of the torque (and force) of the commutator has to be equal and opposite in sign to the torque (and force) of the magnetic field.
Your teacher told you that a static magnetic field can't do work on a current. He should have said that the static magnetic field can't do work on a electric charge. However, that doesn't mean that the electric charge can't do work on another electric charge in its vicinity.
What you asked about is the work done on macroscopic systems. Like the wire. Like the commutator. You did not ask what work was done on the charge carrier. However, here is the answer. Work is being done on the charge carrier by the medium that it is embedded in. The charge carrier is being forced by the medium to move in a different direction than it would if only the magnetic field was acting on it. Therefore, the magnetic field is indirectly doing work on the medium.