A current distribution (not shown) creates the spatially varying magnetic field shown at right. In region I the magnetic field increases in magnitude toward the bottom of the page. In region II the magnetic field is uniform, and in region III the magnetic field is zero. a a. Consider loop a (in region I). i. Draw and label an area vector for loop a on the diagram. II ii. Is the line integral of the magnetic field around loop a positive, negative, or zero? Explain. III iii. Which direction is net current passing through the loop? Use Ampere's law to explain your answer. If no current passes through the loop, state so explicitly. b. Use the reasoning you developed in part a to find the direction that current is passing through loop b (in region II). Explain your reasoning. Use the reasoning you developed in part a to find the direction that current is passing through loop c (the top part of which is in region II, and the bottom part of which is in region III c.