When the distance between the charges is doubled, the electrostatic force between the charges will reduce by quarter.
The electrostatic force between two point charges is calculated using Coulomb's law;
[tex]F = \frac{kq^2}{r^2}[/tex]
where;
When the distance between the charges is doubled
[tex]F = \frac{kq^2}{(2r)^2} \\\\F = \frac{kq^2}{4r^2}\\\\F = \frac{1}{4} (\frac{kq^2}{r^2} )[/tex]
Thus, when the distance between the charges is doubled, the electrostatic force between the charges will reduce by quarter.
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