A uniformly charged ring is a basic model in electromagnetics and applications, and it is important to study spatial distribution of electric field and electric potential generated by it.

The results about the magnetic vector potential of current-carrying ring and the electric potential of uniform charged ring which are expressed by Bessel functions are further calculated and analyzed.

Try to solve the electric field at the plane of the uniform charged ring with two different integral technique,and two subsitution formula of the elliptical integral are obtained,and find out that the solution of such a question of which is expressed with the elliptical integral can be extended from one to another.

Spatial distribution of electric potential and electric intensity on charged ring;

From the formula of electric potential stirred up by a point charge, We deduced the space distributes of a u-niform charged disk s electric potential.

The electric field intensity produced by the cylinder surface with even electric charge distribution is solved basing on the principle of piling up, and it is pointed out that there exists sudden change of the electric field intensity at the surface of an even charged cylinder surface.

The electric field distribution of the system consisting a uniformly charged ring and a conducting sphere;