What is the mathematical expression for the Coulomb potential and how does it describe the interaction between charged particles?

The mathematical expression for the Coulomb potential is V k q1 q2 / r, where V is the potential energy, k is the Coulomb constant, q1 and q2 are the charges of the particles, and r is the distance between them. This expression describes how the potential energy changes as the distance between the charged particles changes. The potential energy decreases as the distance between the particles increases, indicating a weaker interaction, and increases as the distance decreases, indicating a stronger interaction.