A long, vertical, cylindrical wire has a radius R. Outside this cylindrical wire generates a magnetic field given by: (cylindrical coordinates) Here, any distance from the axis of the cylinder is s, while / is the current it carries. Situated to its right side is a square loop of side a, where its vertical edge is parallel to the wire. The wire is x away from the left edge of the loop. a. Show that the magnetic flux through the loop is given by: Hol aln (1 + 2 7T b. If / is pointing upwards, what should the direction of the induced current? c. If the loop is moved to the right of the wire with a speed U = dx what is the induced EMF around the loop. d. What is the mutual inductance between the wire and the loop?T