Electric field on the axis of a ring

Electric field dE due to a charged element dQ of the ring at a point whoose position vector releative to the element is r is given by

Animation shows the electric field vector at a point on the axis of the ring due to a small charged element of a ring. The black dot is the dQ element, the green vector the radius vector r of the point on the axis relative to the dQ element and the black vector E is the electric field vector due to the element. The components parallel ( dE_axial) and perpendicular (dE_radial) to the axis are shown in blue and red colors. Observe the variation of the component of the electric field parallel to the axis. This increases up to a distance of r/&sqrt;2 and then decreases. The electric field vector due to the dQ element itself is maximum at the center of the ring and decreases continuously