How and Why a magnetic field creates a current and the opposite?

Question

and how the alternative and the direct current work (electrons ...) ??

Answer 1

A changing electric field produces a changing magnetic field.A changing magnetic field produces an changing electric field. These changes are done at the speed of light. This is known as electro magnetic propagation.

Answer 2

First there is charge. Moving charge creates magnetic field.
If all charges in the universe are at rest there would be no magnetic field. But thanks god it is not like that. Mostly the charge particle electron is responsible for magnetic field due to it's spin and orbital motion in atom.( read quantum mechanics )

An atom will be a magnetic dipole if vector sum of all magnetic dipole created by electrons is not zero(creates magnetic field).
Now if an electron moves in magnetic field it experiences a force F = eVxB. Due to this force (when conductor i.e. electron moves in magnetic field) electron moves in the conductor that is electric current.
Changing electric field ( charge in motion )creates magnetic field and vice versa. i.e. whenever one is changing the other is produced.

Answer 3

Whenever the flux linked with a coil is changed, an emf is enduced in it so as to oppose the change(also called lenz' law)
Hence when u move a coil placed in a magnetic field, an emf is induced in it(hence d current)
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Look below if it is still not clear:

Lets take it frm d very basic.
If u try 2 move a static boby, u have to apply some force because the static body is "trying" to remain in it's state and u r "forcing" it otherwise.
Similarly a stable electromagnetic sys "opposes" any change in it's state.