A current I_o flows in a charge neutral wire that is aligned along the z-axis. a) In an inertial reference frame, S_o, in which the wire is at rest, determine the magnetic and electric fields. The current in the wire has been flowing for long enough that the fields can be calculated using the techniques of electro and magnetostatics. b) An inertial reference frame, S, moves with speed v along the positive x-axis. In this frame of reference, the wire from part a is moving along the negative x-axis at a speed v. Calculate the electric and magnetic fields that the wire produces in this frame of reference, taking care to express the answer in terms of coordinates of the S frame of reference.

A current I_o flows in a charge neutral wire that is aligned along the z-axis. a) In an inertial reference frame, S_o, in which the wire is at rest, determine the magnetic and electric fields. The current in the wire has been flowing for long enough that the fields can be calculated using the techniques of electro and magnetostatics. b) An inertial reference frame, S, moves with speed v along the positive x-axis. In this frame of reference, the wire from part a is moving along the negative x-axis at a speed v. Calculate the electric and magnetic fields that the wire produces in this frame of reference, taking care to express the answer in terms of coordinates of the S frame of reference.