We have a regular wire or coil in a circular shape and a permanent magnet is moved in and out of the circle to produce a variable magnetic flux and eventually to induce voltage and current into the circle. The magnetic field density by the permanent magnet is named B1.
Is this induced current makes a new magnetic filed named B for example?
What is the total flux passing through the circle? Is it resulted from the magnet alone or from both magnet and the magnetic field from the induced current(B)? Are the two magnetic field intensity vectors(B and B1) effective on the charges of the circle?

 

-The induced current creates another magnetic field

-The total flux through the coil is the resultant flux of both the magnet and the coils flux (caused by the induced current).

-Both vectors are effective.