A student makes a short electromagnet by winding 390 turns of wire around a wooden cylinder of diameter d = 4.9 cm. The coil is connected to a battery producing a current of 4.6 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 4.2 μT (approximately one-tenth that of Earth's magnetic field)?
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