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Change in orbital magnetic dipole from a small magnetic field
Assume that an electron of mass m and charge magnitude e moves in a circular orbit of radius r about a nucleus. A small uniform magnetic field B is then established perpendicular to the plane of the orbit. Assuming also that the radius of orbit does not change and that the change in the speed of the electron due to field B is small, find an expression for the change in the orbital magnetic dipole moment of the electron due to the field?
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Understanding that dipole moments (Mu), magnetic field (B), and current (I), are proportional to current (I), velocity of the electron velocity (v), and v, respectively you should be able to find relation between the magnetic dipole moment and magnetic field of the electron to many constants. However, now you simply want to take the delta of both of them to give you a change of them.
Keep in mind, you should have the constants q, N, A, and m in your final expression.