Problem 2 [20 points] A conducting loop with resistance 59 is placed with its center at a distance of 1m from an innitely long wire carrying current 10A, as seen in the picture below. The radius of the loop changes with time as follows: r(t) = are + Ar sin (cut), with 7-0 = 5cm, Ar = 1 cm, and w = 10rad/s |=10A 1m (a) [10 points] Calculate the magnitude of the current induced in the loop at t = 0. You may assume that the magnetic eld from the wire is constant over the area of the loop, and equal to its value at the center of the 100p. (b) [5 points] Is the current at t = 0 clockwise or counterclockwise? (c) [5 points] Now assume the wire is rotated so that the current is pointing into the page, and calculate the magnitude of the current induced in the loop at t = 0. You may assume that the magnetic field is uniform over the area of the loop, and equal to the field at the center of the loop