hw_2(1) - z-axis The vector potential A of the induced...

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Physics 821 Spring Quarter 2007 Dr. Herbst HOMEWORK ASSIGNMENT # 2 DUE: THURSDAY, 12 APRIL 2007 Goldstein et al. Chapter 2 Derivation: 3 Exercises: 14, 18, 20 (vertical coordinate method only) Also: A particle of mass m and charge q moves in the magnetic field produced by a current I flowing in an infinite straight wire that lies along the
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Unformatted text preview: z-axis. The vector potential A of the induced magnetic field is given in cylindrical polar coordinates by A r = A θ = 0 A z = - ( μ Ι /2 π ) ln r Find the Lagrangian of the particle, deduce which coordinates are cyclic, and find the corresponding conserved momenta....
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