Respuesta :

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