How do I solve this?

1 & 2 (Use the diagram to help questions #1 and 2)

1. Relying on the magnetic moment of an electron, which we derived in class to be: ~10A23 AmA2, a. What is the maximum magnetization density M that a solid could have? Hint what is the highest density of atoms you expect? b. This maximum magnetization density implies an estimate for the upper limit to the magnetic field that a material can produce. What is the maximum magnetic field this implies? 2. Consider again the gure below with two of the same solenoid you analyzed in the collaborative portion. What is the force between the two solenoids? Hint: At distances >> diameter of coil, the field outside the coil is well approximated by the field of two point monopoles (with opposite charge) at the ends of the coil, as illustrated in the figure. A rectangular loop of wire is placed so that all but its bottom segment feels a uniform magnetic eld Bu directed normal to the plane of the loop (see Fig. 1). The wire has a total mass M , resistance R, loop width 11}, and loop height h. The wire is allowed to fall under the inuence of Earth's gravity (acceleration = g). For this problem consider the loop only while the upper segment is still in the magnetic eld; also, ignore time-varying uxes arising from any induced currents. G} G) (9 G) (9 G) G) FIG. 1: Starting position of the wire loop as it falls under the inuence of gravity. (:1) As the wire falls, in which direction will induced current ow in the loop (ie.1 clockwise or counterclockwise in the gure above)? (b) At some particular time the loop has a downward velocity with magnitude 1}. What is the current I owing in the loop in terms of v and other quantities specified above? (c) Suppose that the loop has fallen a distance 3; from the starting position shown in Fig. 1. Find the magnitude and direction of the magnetic forces acting on each of the four loop segments. Express your answers in terms of I and other quantities specied above. Indicate the directions of the forces in a sketch of the loop. (d) If the loop's initial downward velocity equals a certain value no, the total force (gravi- tational and magnetic) on the loop vanishes for all y