D d X X X XXX X X B B X X X X XXX X Figure. A rectangular loop of height h and width D is inserted a distance z into a perpendicular magnetic field B. The corners of the rectangle are labelled a, b, c, and d. A rectangular loop of wire has horizontal length D and height h. Its total electrical resistance is R. It is located so that the bottom edge of the rectangle is in a magnetic field with magnitude B (into the page, as indicated in the figure) and the top edge is not in the field. Part 1) As the rectangular loop enters the field, what is the direction of the magnetic field induced in the loop? (No answer giver?) What direction does the induced current flow around the loop? |(No answer given) Part 2) Derive an expression, in terms of the variables given in the question, for the magnetic flux through the loop as a function of z, the height of the section of the loop lying inside the magnetic field region. Part 3) Derive an expression for the magnitude of the current flowing in the loop when it is moving downwards at a constant speed U