In mutual inductance, energy transfer takes place from one circuit to another through magnetic flux. But while trying to understand the equations involved from the attached image, I am getting confused. If the current in the first coil gives rise to a flux [itex]\phi[/itex]1 and only a part of it ([itex]\phi[/itex]12) links with the second coil, is the remaining flux ([itex]\phi[/itex]11) only responsible for the back emf produced in the first coil? Or is the back emf produced by the main flux [itex]\phi[/itex]1 as a whole? Another doubt I have: When there are two magnetically linked coils (like in a transformer), when a time varying current is passing through the first coil, it creates a time varying flux which induces an emf in the second coil. But in this case, is there no self induction taking place in the first coil? I mean this is not considered in the attached image. So i am not pretty convinced about this concept.