Abstract: The Green＇s reciprocity theorem in a special case is obtained from the general Green＇s reciprocity theorem of electrostatic field.By employing the Green＇s reciprocity theorem in a special case,a number of solutions in different forms for electrostatic potential distribution of a uniformly changed ring are derived.

Key words: electrostatic field, Green＇s reciprocity theorem, uniformly charged ring, electrostatic potential distribution