A circular wire loop of radius a has N turns and carries a current I. A second loop with N′ turns of radius a′ carries a current I′ and is located on the axis of the first loop, a distance x from the center of the first loop. The second loop is tipped so that its axis is at an angle θ from the axis of the first loop. The distance x is large compared to both a and a′. In both loops, the current is circling counterclockwise if viewed from the +x axis. (a) Sketch a picture of these two loops. (b) Read through what you’re asked to do in parts (c) and (d) of this problem. What simplifications will you be able to make due to x being much larger than a? What about due to x being much larger than a′? (c) Find the magnitude of the torque exerted on the second loop by the first loop. (d) Find the potential energy for the second loop due to this interaction