derive the formula for electric field along the axis of a conducting ring?

The Formula for electric field along the axis of conducting ring can be drive by using the formula for any shape of body that is

                      E=q/Akεo

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We now integrate, noting that r and x are constant for all points on the ring:

Hello Udit !

The  Electrinc field of a ring of charge on the axis of the ring can be found by superposing the Point charge of infinitesmal charge elements. The ring field can then be used as an element to calculate the electric field of a disk 

The electric fields in the xy plane cancel by symmetry, and the z-components from charge elements can be simply added. If the charge is characterized by an area density and the ring by an incremental width dR' , then: This is a suitable element for the calculation of the electric field of a charged disc.

Post your doubts further ..if any !