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How the voltage source could moves the electrons from - to + in electric circuit ?

i don't want to hear that the voltage is the difference between 2 point or hear the example of water .. i want to understand how the voltage source or ( battery ) could move the electrons in one direction or how they do work on it and force it to move from - to + ?

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Electrons have a negative charge. In a conductor, like copper, the outer shell of electrons is free to move - in fact, they're moving and swapping places all the time. So, if you make one end of a wire positive, and the other end negative, electrons will have a sum movement towards the positive end.

Apparently, even with very high currents, the electron flow in one direction due to electric current is insignificant compared to the normal electron flow in both directions due to normal mobility.

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thank you but how the battery or voltage source make the end of wire positive charge ? is one of battery charged with positive charge and the another charged with negative charge or what ?
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Let's look at a generator. This device has a coil of wire moving in a magnetic field. This action causes current to flow through the coil from negative to positive, then in the external circuit, from positive to negative. That's the difference between a generator and a load. In a generator, current flow is made to flow in one direction - towards the positive.

In a battery, it's done by ions. As the battery discharges, positive ions flow to one terminal, negative ions to the other. The positive ions flow to the positive terminal - that's why it's the positive terminal. In the external circuit, current flows positive to negative. Of course, by convention, electrons have a negative charge, so they flow opposite to the current.

In a source, you need to do work to make the positive terminal positive. In the external circuit, the current flowing performs work to get from positive back to negative.
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As you know electrons at the further orbits from an atom have a loose bound to the core. These loose electrons can jump from atom to a surrounding atom and kind of roam freely inside the material. Of course that action requires an energy intake. In a regular temperature if you take a piece of metal there will be a lot of these free roaming electrons due to the reaction between electrons and photons(photons from the natural heat). But because the electrons run in every direction the overall voltage would be zero.
The difference is that, a voltage source make the all photon-electron reaction at one point then when you connect a thin cable to that source, electrons will be moving through the cable away from the source. It is because the cable is thin, electrons have not much place to turn, and because the atoms in front of them have less electrons then the atoms behind them naturally they would move forward.
If you would attach the voltage source on a larger mass, or a plane instead of a cable you can't get the same current.