A total charge Q is uniformly distributed around a ring-shaped conductor with radius a. A...

A total charge Q is uniformly distributed around a ring-shaped conductor with radius a. A charge q is located at a distance x from the center of the ring (Fig. P7.33). The force exerted on the charge by the ring is given by

FIGURE P7.33:

where e₀ = 8.85 × 10⁻¹² C²/(N m²), q = Q = 2 × 10⁻⁵ C, and a = 0.9 m. Determine the distance x where the force is a maximum.