A nonconducting rod of mass M and length l has a uniform charge per unit length l and rotates with angular velocity about an axis through one end perpendicular to the rod. The moment of inertia I =1/3*^2 a) Consider a small segment of the rod of length dx and charge dq = dx, at a distance x from the pivot. Provide the magnetic moment as a function of ,,, and .

b) Integrate the result from part (a) and provide the total magnetic moment of the rod as a function of ,, and, .

c) Show that the magnetic moment (m) and angular momentum (L) are related by expressing the magnetic moment as a function of Q (the total charge on the rod), M, and L.

b) phosphorus pentoxide

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

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