A square loop of wire, of side a, lies midway between two long wires that are a distance 3a apart, in the same plane. A current I is flowing in the long wires, and it is gradually increasing at a constant rate: dI/dt=k, where k is a constant. (a) What is the magnetic flux through the square loop, associated with the magnetic field created by the long wires? (b) What is the mutual inductance of this configuration? (c) Determine the induced electromotive force E in the square loop. Is the induced current flowing elockwise or counterclockwise?