Let's say I have a coil of N turns and it is wound on a rectangular core and when we connect a voltage source through both terminal of coil flux is generated in core , now I wanted to reduce that flux as minimum as possible (zero would be Even better) .
Although it can be achieved easily if we are allowed to cut the winding and then wound such a way that net mmf cancel each other
But What if we are not allowed to cut the winding ,is it possible reduce flux up to zero ?
First thought comes to mind that we can wound N/2 and N/2 such that flux will cancel each other but I'm not sure it will work because how can a series Inductance reduces (L=L/2-L/2) because (L=L1+L2) series connection are additive
Is above method works or not ? Or it is impossible to cancel or reduce flux because of series connection of winding?