a) Figure 2 shows an N-turn rectangular coil of length a and width b entering a region of a uniform magnetic field of magnitude Bout directed out of the page. The velocity, v of the coil is constant and is upward in the figure. The total resistance of the coil is R. i. Calculate the magnitude and direction of the current, I induced in the coil when only a portion of the coil has entered the region with the field. [4 marks] ii. Calculate the magnitude and direction of the current, I induced in the coil when the coil is completely embedded in the field. [2 marks] iii. Calculate the magnitude and direction of the current, I induced in the coil when the coil begins to exit the region with the field. [2 marks]