Abstract: The electric potential and electric field in every area of an infinite long electric dielectric column shell which located in an external uniform electric field are calculated by using the separation variable method in the cylindrical coordinate, and the effect of electric shield of the column shell is analyzed. Also, the electric potentials and electric fields for the infinite long conductor column shell, the infinite long electric dielectric column, the infinite long conductor column in a homogeneous electric field, and the infinite long cylinder cavity in an infinite electric dielectric can be obtained from our method.

Key words: dielectric column shell, electric potential, electric field, screen