A copper wire has diameter 0.140mm and length 11.0cm . It's in a horizontal plane and carries a current of 2.35A . The density of copper is 8920 kg/m^3.
a) Find the magnitude of the magnetic field needed to suspend the wire against gravity. Express your answer with the appropriate units.
b) Find the direction of the magnetic field needed to suspend the wire against gravity. Assume the current points east. (Does it point north, south, east, or west?)