Magnetic nanowires tend to agglomerate when placed together due to reduced energy. Use appropriate assumptions for identical magnetic nanowires with a saturation magnetization 4πMs of 10 kG, length L of 10 um, and diameter R of 0.1 um, and:
a) Calculate the magnetostatic energy that is needed to separate the two nanowires when two such identical magnetic nanowires are magnetostatically coupled in parallel with antiparallel magnetization. You can assume that the point magnetic charges are in the center of the two ends of magnetic nanowires.
b) Calculate the maximum force that is needed to detach the two agglomerated magnetic nanowires due to magnetic interactions.