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The ring has 2 segments that are labeled, 1 and 2. An angle phi is labeled from the x axis to the radius of the segment 1. Another angle phi plus pi is labeled from the x axis to the radius of the segment 2. A t a specific point on the z axis is at a distance vector R sub 1 caret prime from segment 1 and R sub 2 caret from the segment 2. The charge on the first segment produces 3 electric fields on the specific point that are, d E sub 1 r, d E sub 1 in the x z plane and d E sub 1 z on the z axis. The charge on the second segment produces 3 electric fields on the specific point that are, d E sub 2 r, d E sub 2 in the x z plane and d E sub 2 z on the z axis.