A 1034 turn coil is wrapped around a magnetic core with an air gap as shown in the diagram below. The dimensions l and x are 94 cm and 4 cm respectively (the thickness of the entire core is uniform). The field intensity through the center of the core material is 602 At/m and its relative permeability is 1250. Calculate the length of the air gap if the current through the coil is 5.42 A. (Ignore the effects of fringing)