1. (30 pts) A ferromagnetic core with a relative permeability of 1500 is shown in Figure. The dimensions are as shown in the figure, and the depth of the core is 5 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. If there are 2000 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.02 A, what is the flux in center leg of the core? ($\mu_0 = 4 \pi 10^{-7}$)