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3. Consider the magnetic core shown in the figure below. Assume that the depth of the solid core is 5cm and that the relative permeability of the core is 900. Also assume that the air gaps on the left and right legs are 0.06 and 0.1cm, respectively. Take the fringing effects at each gap into account by calculating the effective area of each air gap as 5% greater than its actual physical size, If the coil has 315 turns and 7 A current in it, determine the following: (a) The total reluctance of the core (b) The total flux in the core (c) The flux in the left leg of the core (d) The flux in the center leg of the core (e) The flux in the right leg of the core (f) The flux density in the left air gap ( The flux density in the right air gap.