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A student makes a short electromagnet by winding 460 turns of wire around a wooden cylinder...

A student makes a short electromagnet by winding 460 turns of wire around a wooden cylinder of diameter d = 4.0 cm. The coil is connected to a battery producing a current of 4.7 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 6.1 µT (approximately one-tenth that of Earth's magnetic field)?

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