5. Electromagnetic field
5.1 Magnetic field created by a
circular current loop ........................ 41
5.3 Electric field
The Maxwell’s equations, relate the electric fields to
magnetic fields hence they receive the name of electromagnetic field. We are
going to see in this section how the relation goes beyond what the traditional
physics tell us. We are going to see how both fields are different
manifestations of a same field, the magnetic field.
Although they are pretty well known, it might be
interesting to review some classical concepts within the electromagnetic field,
concretely the concepts of force and the field created by a circular current
loop.
5.1 Magnetic
field created by a circular current loop
Let’s consider an electric current going through a
circular current loop I, as shown in the figure (5.1), we know that this
current generates a magnetic field B in its center, in this way, the direction
of the magnetic field is determined by the right hand grip rule or the cork
screw rule.
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5.6
Conclusion
The electric field is
the temporal component of the magnetic field. There is an only field, the
magnetic field, which has four components, three spatial and one temporal that
we call electric field.
The magnetic field of the
electron has not been measured, but its magnetic moment has and according to
the quantum mechanics (QM) is another intrinsic property of the matter. If the
electron is a point with electric charge in repose, it should not have magnetic
moment as the moment is due to the movement of the mass (angular momentum) or
the electric charge (magnetic moment)
Based on this model, we
will see in the following section that it is easy to calculate the magnetic
moment of the electron, muon, etc. We just have to apply the definition of the
angular momentum.
The electron and the
positron are the same particle. We observe the electron from the future and the
positron is observed from the past. Furthermore, the four dimensions let us explain the intrinsic properties of the particles such as mass, charge,
spin, etc. and calculate the value of the mentioned properties as we have seen.
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