Analyze the motion of a particle (charge q, mass m) in the magnetic field of a long

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Analyze the motion of a particle (charge q, mass m) in the magnetic field of a long straight wire carrying a steady current I.
(a) Is its kinetic energy conserved?
(b) Find the force on the particle, in cylindrical coordinates, with I along the z axis.
(c) Obtain the equations of motion.
(d) Suppose ˙z is constant. Describe the motion

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