Arectangular loop of wire with side lengths a and b lies in the first quadrant of the ry plane with one corner at the origin. the side along the r-axis has length a. a nonunifornm magnetic field b(y, t) =-ky3t2ż + k~5t2x, where k is a positive constant. (a) find the magnetic flux through the loop as a function of time (b) find the emf induced in the rectangular loop. (c) will the current resulting from the induced emf flow clockwise or anti-clockwise when viewed from a point in space with z > 0?