Explanation:
The electric potential can be calculated as:
[tex]V=k\frac{Q}{r}[/tex]Where k is 9 x 10⁹ N m²/C², r is the distance and Q is the charge.
So, replacing each value, we get:
[tex]-500=(9\times10^9)\frac{-5.35\times10^{-6}}{r}[/tex]Then, solving for r:
[tex]\begin{gathered} -500=\frac{-48.15\times10^3}{r} \\ 500r=48.15\times10^3 \\ r=\frac{48.15\times10^3}{500} \\ r=96.3\text{ m} \end{gathered}[/tex]Therefore, the distance is 96.3 m