Show that the vector potential given in cylindrical coordinates by a- bor θ describes a uniform magnetic field b =-boz. b): find the lagrangian for a particle with mass m and charge q moving through this field and find the equations of motion. find the two conserved quantities po and p, associated with the fact that the lagrangian is independent of θ and z c): show that if we choose the origin to be on the path of the particle, then 0 at all times. solve the equations of motion for this case and show that the particle moves in a helix.

Sally turns on her cellular telephone to speak to her friend who is located thousands of miles away. which of the following best describes how such a telephone is able to transmit and receive information? a. the cellular telephone transmits, receives, and encodes information using only sound waves. b. the cellular telephone transmits, receives, and encodes information using only electromagnetic waves. c. the cellular telephone transmits information by electromagnetic waves to a receiver which then encodes them and produces sound. d. the cellular telephone transmits information by sound waves to a receiver which then encodes them and produces electromagnetic waves.