An infinite wire carrying current I0 sin(wt) is positioned along the x-axis. A square loop is positioned in the x-y plane with two sides parallel to the x-axis and two sides perpendicular to the x-axis. The edge closest to the wire is a distance a from the wire and the edged farthest from the wire is a distance b from the wire. Thus the square loop has sides of length b – a . The square is composed of wire and its total resistance is R . Answer the following in terms of quantities given or a subset thereof and relevant physical constants.

a) What is the magnitude of the B-field as a function of the distance y away from the wire?
b) What is the magnetic flux through the square loop?
c) What is the emf induced in the loop?
d)What is the current in the loop?