Three narrow concentric rings of radii 50 mm, 70 mm, and
90 mm are centered about the origin, with the axis of symmetry of each ring oriented along the y axis. The charge on the inner ring is 1.0 mC, that on the middle ring is -2.0 mC, and that on the outer ring is 1.0 mC.
(a) What is the electric field magnitude at (0, 100 mm, 0)?
(b) What quantity of charge must be placed at (0, -100 mm, 0) to make the electric field magnitude zero at the position calculated in part a?