Lets say we have 2 coils in parallel, hooked up to a voltmeter. A permanent magnet is then pushed in and pulled out of the first coil, in such a way that there is still flux through the second coil, but less than the first.
Will the voltage be lower if the second coil were to be removed from the circuit? If so, how so? The flux through the first coil would be the same no matter what, wouldn't it?
Illustration is not the best but perhaps it clears up the situation :)