A conducting wire is parallel to the y axis. It moves in the positive x direction with a speed of 20 m/s in a magnetic field B = 0.5 T k.

(a) What are the magnitude and direction of the magnetic force on an electron in the conductor?

(b) Because of this magnetic force, electrons move to one end of the wire leaving the other end positively charged, until the electric field due to this charge separation exerts a force on the electrons that balances the magnetic force. Find the magnitude and direction of this electric field in the steady state.

(c) Suppose the moving wire is 2 m long. What is the potential difference between its two ends due to this electric field?