Coil Winding Direction: Clockwise vs Counter-Clockwise

Buych778
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I am wrapping a transducer coil and had a question with the winding direction. Let's say that I am wrapping the wire around a bolt in a clockwise direction. After I reach the halfway point of the wire, if I then reversed the direction I am winding to counter-clockwise, what would it do? I am unsure whether it would cancel out the previous coil, add to it, or whatever else is possible. I read several responses to other questions similar, but they were unspecific and I was unsure what about what they were saying.
 
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Yes they would undue each other. But not perfectly, because of the axial displacement of the two halves.

I
 

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