Non-relativistic Radiation of a Moving Charge

A static charge generates an electric field in the space and stores an electric energy called the Coulomb energy. A moving charge introduces an additional magnetic field in the space and stores a magnetic energy. The electric energy and the magnetic energy associated with a uniformly moving charge may be called velocity energy. The Coulomb energy and the velocity energy are considered as being attached to the charge. When the charge moves uniformly, the two energies may be dragged by the charge and cause energy fluctuation in space. When a charge is accelerated, part of the attached fields and energies may be not able to keep the pace with the charge and will be thrown away from the charge to form the electromagnetic radiative field and radiative electromagnetic energy. The concept of the electromagnetic energies of a charged particle may help us separate the macroscopic electromagnetic energy of a distributed source. In order to reveal the connection between the electromagnetic field of the charged particle and the macroscopic electromagnetic field of the distributed source, we are to derive the electromagnetic potential, field and energy of a moving charge from the Maxwell equations.