Magnetism is produced by circulating electric currents, but also by the spin of elementary particles and...

Magnetism is produced by circulating electric currents, but also by the spin of elementary particles and many atoms that are small magnets. An electric current I circulating in a wire of radius R, produces a magnetic field in the center of the wire of value B = u or I /) 2r). (uo - 1.26 x 10 ^ -6 T m / A).

We can use this formula as a model for three situations: the Earth, an atom of iron and the electron.

a) For Earth, R = 6,000 km and B = 5 x 10 ^ -4 T. Estimate the order of the current that is capable of generating this field.

b) For the iron atom, the magnetic field is produced by the electron of the last level, which is a charge of 1.6 x 10 ^ -19 C which circulates with the frequency of 10 ^ 16 Hz, in a radius of about 10 ^ -10 m. Calculate the order of the magnetic fields in the iron atom.

c) For the electron, the 1.6 x 10 ^ -19 C charge that rotates on itself. Assume that the turning radius is the order of R = 10 ^ -18m. The current is then of the order of e v / (2piR) = e f, where f is the frequency of rotation. Using this formula, calculate the value of B generated by the electron.

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