Update: Bz component of magnetized disk

As you suggested I plotted the Bz component of the disk's magnetic field in units of 1mG (this is the initial field strength of the toroidal field). In the ambient medium the Bz component can take up to 1% of the initial field, these are probably just random variations/noise. Along the z-axis of the disk the Bz component takes up to 10% of the initial field strength

Animation of the Bz component

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