Chapter 8, Problem 32P

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 $\left(\text{Fig}\text{. P8}\text{.32}\right)$. 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 $e_0=8.85\times {10}^{-12}{\text{C}}^2\text{/}\left({\text{N m}}^2\right)$ Find the distance x where the force is 1 N if $q\text{ and }Q\text{are 2}\times {\text{10}}^{-5}$ C for a ring with a radius of 0.9 m.

FIGURE P8.32