The force of repulsion between two like-charged particles will increase if the distance between the charged particles is decreased. According to Coulomb's Law, the force \( F \) between two charges is inversely proportional to the square of the distance \( r \) between them, expressed as:
\[ F = k \frac{{|q_1 \cdot q_2|}}{{r^2}} \]
where \( k \) is Coulomb's constant and \( q_1 \) and \( q_2 \) are the magnitudes of the charges.
Therefore, decreasing the distance \( r \) increases the force of repulsion.