When the distance between the charges is doubled, the electrostatic force between the charges will reduce by quarter.
Electrostatic force between two point charges
The electrostatic force between two point charges is calculated using Coulomb's law;
[tex]F = \frac{kq^2}{r^2}[/tex]
where;
- F is the force
- k is Coulomb's constant
- q is the charge
- r is the distance
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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