A student makes a short electromagnet by winding 410 turns of wire around a wooden cylinder of diameter d= 2.6 cm. The coil is connected to a battery producing a current of 5.1 A in the wire.(a) what is the magnitude of the magnetic dipole moment of this device?(b) at what axial distance z>>d Will the magnetic field have the magnitude 5.5uT (approximately 1/10 that of earths magnetic field)?