How does distance affect electrostatic force according to Coulomb's law?

Coulomb's law asserts that the electrostatic force between two charged particles is inversely proportional to the square of the distance between their centers. This relationship is framed mathematically as F = k * |q1 * q2| / r², where F represents the force, k is Coulomb's constant, q1 and q2 are the magnitudes of the charges, and r is the distance separating them.

As the distance (r) increases, the denominator of the fraction increases, leading to a decrease in the value of the electrostatic force (F). Specifically, if the distance between the charges doubles, the force reduces to one-fourth of its original strength. This clearly demonstrates that the electrostatic force diminishes as the distance between the charged objects increases, resulting in a weaker interaction at larger separations.