Consider a small loop of area A carrying a time varying current I sin ⁡ ⁡ ( ω ω t ) . With current flow, a magnetic field perpendicular to the direction of flow as a result of the right hand rule will be present. Due to this field being generated in a loop, it is expected that the field would look similar to that of an electric dipole. This can be proven quickly using Hertz vectors. First the magnetic polarization is determined by its relation to magnetic moment M = d m d V . The magnetic moment of a current loop is defined as m = I A n ^ ^ , so if the loop lies in the x-y plane and has the previously defined time-varying current, the magnetic moment is m = I A sin ⁡ ⁡ ( ω ω t ) z ^ ^ . Inserting this into M , and then into Equation (10), the magnetic Hertz vector is found in a simple form.