How does a moving magnet induce a current in a coil?

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A moving magnet induces a current in a coil through electromagnetic induction, as described by Faraday-Maxwell's law. The changing magnetic field (∂B/∂t) caused by the magnet's movement displaces electrons within the coil, creating an electromotive force (EMF). This results in a flow of current, with electrons moving toward one end of the coil and positive charges toward the other. The discussion also touches on the significance of analyzing the situation from different reference frames, where the magnetic field can appear static. Additionally, there is curiosity about the physical meaning of the gradient and area under a voltage-time graph in relation to this phenomenon.
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Hello!

I've just realized, when trying to do a write up for a Physics experiment (about a coil and a magnet) that I don't know how you get an induced current!

What's actually going on when the magnet moves through the coil? What are the electrons doing to induce a current?

I'm totally confused and my Physics textbook is not helping at all!

Please help!
 
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Take a look at the Faraday-Maxwell's law:

\epsilon=\oint\overline{E}\cdot\overline{dl}=-\int\int\frac{\partial \overline{B}}{\partial t}\cdot \overline{dS}+\oint(\overline{v}\times\overline{B})\cdot \overline{dl}

A FEM can be induced by two effects:

-An unsteady magnetic field inside a steady electric closed circuit.
-The movement of a conductor inside a magnetic field.

In your example, you are causing a \frac{\partial \overline{B}}{\partial t} moving the magnet inside a cylindrical-shaped coil of section S. The FEM is induced internally in the conductor displacing the electrons towards one of the extremes, and positive charges to the other. The vehicle of transmision is a bit heuristic for me, so that maybe a physicist could help you very much.
 
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It might help to think about how things look in a frame of reference moving with the magnet. There the magnetic field is static and the charges in the coil are moving through that static field. They will be subjected to the \vec v \times \vec B force and respond to it. In the coil frame, that response is said to be due to the induced EMF.
 
A nice change of reference frame, Tide. Sorry for writting upside down the letters FEM and EMF.

FEM=Fuerza ElectroMagnética (spanish)
EMF=ElectroMagnetic Force (english)

It's an usual error in my spelling to think of my native language... :frown:
 
Clausius,

Gracias!

I knew what you meant by FEM and I was by no means attempting to correct you! Everyone working in the sciences is aware of the linguistic differences used in writing abbreviations.
 
Thanks everyone! It all makes sense now!

I have another question though! The graph of voltage against time: what physical significance is the gradient and the area under the curve?
 
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