1. The problem statement, all variables and given/known data A particle of mass m and charge e moves in the magnetic field produced by a current I flowing in an infinte straight wire that lies along the z-axis. The vector potential induced magnetic field is given by A_r=A_theta=0, A_z=([tex]\mu[/tex]0*I/2*pi)*ln r, where r , theta, and z are sylindrical coordinates. Find the Lagrangian of the particle. Show that theta and z are cyclic coordinates and find the corresponding conserved momenta 2. Relevant equations U=e*phi(r)-e*dr/dt*A(r) L=1/2*m*dr/dt*dr/dt-e*phi(r)+e*dr/dt*A(r) d/dt*(dT/(dq/dt))-dT/dq=d/dt(dV/(dq/dt))-dV/dq pj=dL/(dq/dt) 3. The attempt at a solution U=e*phi(r)-e*dr/dt*A(r) L=.5*(dz/dt)^2+e*dz/dt*(-[tex]\mu[/tex]0*I/(2*pi))*ln r Did I derived the Lagrangian correctly?