Magneto plasma frequency use the method of Problem 5 to find the frequency of the uniform plasma

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Magneto plasma frequency use the method of Problem 5 to find the frequency of the uniform plasma mode of a sphere placed in a constant uniform magnetic field B. Let B he along the z axis. The solution should go to the cyclotron frequency wc = eB/mc in one limit and to w0 = (4πne2/3m)1/2 in another limit. Take the motion in the xy plane.

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