The electromagnetic fields and the radiation of a spatio-temporally varying electric current loop

• Electric and magnetic fields of a spatio-temporally varying electric current loop are calculated.
• Radiation and the nonradiation parts of the electromagnetic fields are derived.
• A new, exact, analytical solution of the Maxwell equation has been found.

The electric and magnetic fields of a spatio-temporally varying electric current loop are calculated using the Jefimenko equations. The radiation and the nonradiation parts of the electromagnetic fields are derived in the framework of Maxwell’s theory of electromagnetic fields. In this way, a new, exact, analytical solution of the Maxwell equation is found.