A very long straight wire carries a 15 A current in the positive x direction. An electron is fired in the vicinity of the wire. At some later instant, the electron is observed at 2.0 cm from the wire, moving away (perpendicular to the wire, in the negative y direction) with a velocity of 500 km/s. At that instant, calculate:

a) the magnetic field at the location of the electron (magnitude and direction)

b) the magnetic force experienced by the electron (magnitude and direction)

c) the magnetic force experienced by the electron (magnitude and direction) if the electron was moving with the same speed but this time in the positive z direction

Show the work leading to the final formula/result