A negative reading value indicates that the field is pointing in the opposite direction from what is typically assumed.
The minus sign denotes the fact that any current produced by an altering magnetic field in a coil creates an opposing magnetic field to the one that caused it. Lenz's law is the name given to this phenomenon.
Magnetic flux can, in fact, be negative. Just where the field is headed will determine this. If a sheet has a magnetic field running through it from front to back, we can refer to the flux there as positive and negative when it is flowing in the opposite direction.
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