Find the current density necessary to float a copper wire in Earth’s magnetic field. Assume the...

Find the current density necessary to float a copper wire in Earth’s magnetic field. Assume the experiment to be done at the Earth’s magnetic equator in a field of 10?4 T. Use nominal density of copper in g/cm^3.

Expert Solution

For the wire to float in the midair, it net force on it vertically should be zero.

Upward force due to the magnetic field = BILsin90

downward force due to gravity = mg

so, mg = BIL

mass m = volume x density

and assuming the wire to be cylindrical,

so,

=>

where J is the current density

density of copper wire: 8.96 g/cm³ and g = 9.8 m/s² = 980 cm/s²

so,

substitute the value of B to get the current density in A/cm² .

genius_generous answered 2 years ago

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