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DirecSa

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As we know that the magnetic induction causes an electric current in a wire and Faraday has formulated his Electromotive equation ##\epsilon=-\frac{d\Phi}{dt}##. And then Maxwell-Faraday's equation is: ##\nabla \times E=-\frac{\partial B}{\partial t}##, until now this was just an introduction. My confusion is how one could conclude that there is an electric field which is motive the charges in a conductor (wire) to move after exposure to time-varying magnetic field... What I mean is if I get the result as Faraday did then I will expect that there is a direct connection between the current and the time-varying magnetic field and I start to research more about this, and not that the time-varying magnetic field produces an electric field and then this electric field makes the charges moves in the wire, and by the way I can't understand how this electric field causes the charges to move since this electric field is at the surface and can't be inside a conductor.

In short, how one can conclude from such experiment that there is an induced electrical field that is produced due to the time-varying magnetic field and not some another direct phenomena that should be investigated?.. In addition, the nature of this induced electrical field, how it makes the charges move?

Note: I know that this is non-conservative electrical field and the logic that electromotive in such case with no battery should exist and the closed path integral of electric field should be non-zero.. but still I have the confusion.. :/

Thank you in advance :)

In short, how one can conclude from such experiment that there is an induced electrical field that is produced due to the time-varying magnetic field and not some another direct phenomena that should be investigated?.. In addition, the nature of this induced electrical field, how it makes the charges move?

Note: I know that this is non-conservative electrical field and the logic that electromotive in such case with no battery should exist and the closed path integral of electric field should be non-zero.. but still I have the confusion.. :/

Thank you in advance :)

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