Problem 12 A small and narrow conducting loop of area A and resistance R is positioned as shown relative to a long wire carrying current I, which is increasing with time. The distance from the wire to the near side of the loop is x. Assume as an approximation that the B-field of the wire is uniform over the area of the loop. (a) What is the induced magnetic moment, in terms of x, A, dI/dt, R and o? What is its direction? (b) What direction is the force exerted by the wire on the loop? Explain. (c) How do your answers change if I is decreasing with time at the same rate? I x -0 A