How is EMF Induced in a Moving Straight Wire in a Constant Magnetic Field?

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An emf is induced in a straight conducting wire moving at a constant velocity through a constant magnetic field due to the motion of the wire itself, despite no change in magnetic flux. While stationary wires require a changing flux to generate emf, moving wires experience an additional velocity that affects charge carriers, leading to induced emf. This phenomenon is referred to as motional emf, highlighting the distinction between moving wires and stationary loops. In a loop moving through a magnetic field, if the orientation remains constant, no emf is induced because there is no change in flux. Understanding these concepts can be enhanced by visual aids, such as diagrams, which clarify the differences in behavior between moving wires and loops.
fletch-j
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We just went over Faraday's law in class and our teacher stressed how a changing flux is needed to induce an emf in some coil/loop/wire.
I was just wondering then, how is an emf induced in a straight conducting wire moving at a constant velocity in a constant magnetic field? It seems as if Δϕ=0...
I think ε=vBl is the equation which is used to describe this phenomena.
 
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yes. Your teacher meant that for a stationary wire, a changing flux is required to create an emf. But if the wire is moving through a magnetic field, then an emf can also be created, as you said.
 
But if you have a loop of wire moving through a constant magnetic field then there is no change in flux so no induced emf.. What is the difference between a moving straight wire and a loop/coil?
 
fletch-j said:
But if you have a loop of wire moving through a constant magnetic field then there is no change in flux so no induced emf.. What is the difference between a moving straight wire and a loop/coil?

I suggest you draw a picture & you can see things better. A pic always helps. If the loop is normal to the flux continuously & flux is uniform, there is no induction. But if the loop spins so that the angle w/ the flux changes, then induction takes place.

A good book on motors/generators will illustrate this better than I can verbally describe things. My advice to all pondering such questions is to - draw a picture. Drawing a picture really makes things easier to understand. That is why I always like to draw a picture. It beats words by a big margin.

Draw a picture. BR.

Claude
 
prior posts all look ok...

Any way you can produce a change in electric potential will push charges around a closed circuit.
Some explanatory viewpoints here:

http://en.wikipedia.org/wiki/Induced_emf
 
fletch-j said:
But if you have a loop of wire moving through a constant magnetic field then there is no change in flux so no induced emf.. What is the difference between a moving straight wire and a loop/coil?

There is no difference between the loop and straight wire (except that a current can flow in the coil, causing secondary effects, but we don't need to make this more complicated by thinking about them).

As I said before, if the wire is stationary, then there must be a change in flux to create an emf, but this is not true if the wire is moving.

Think about the charge carriers moving through the wire. If the wire is moving (in addition to them moving along the wire), then there is an extra velocity which the charge carriers must have. And so the magnetic field will have an extra effect on the charge carriers due to the fact that the wire is moving.

Or another way to think about it is that although the flux is not changing, the magnetic field is being 'swept through', as the wire moves through it. P.S. this kind of emf is called motional emf (which makes sense really).
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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