Niobium metal becomes a superconductor (with zero electrical resistance) when cooled below 5.1 K. The permeabilty of free space is 1.25664 × 10−6 N/A 2 . If superconductivity is destroyed when the surface magnetic field exceeds 0.11 T, determine the maximum current a 2.5 mm diameter niobium wire can carry and remain superconducting.