Chapter 16, Problem 23P

AtotalchargeQ 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. P16.23). The force exerted on the charge by the ring is given by

$F=\frac{1}{4\pi e_0}\frac{qQx}{{\left(x^2+a^2\right)}^{3/2}}$

Where $e_0=8.85\times {10}^{-12}{\text{C}}^2/\left({\text{Nm}}^2\right),q=Q=2\times {10}^{-5}\text{C},\text{ and }a=$.

0.9m Determine the distance x where the force is a maximum.

FIGURE P16.23