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Coulomb's Law Equation Calculator . The coulomb's law formula is: F = 1 / (4·π·ε) · q · q / l^2. Coulomb's Law in vector form, Electric field intensity with examples from www.iexplainall.com The formula to calculate coulomb's law is mentioned below: Coulomb's law states that the electrical force between two charged objects is directly proportional to the product of the quantity of charge on the objects and inversely proportional to the square of the separation distance between the two objects. Coulomb's law describes the electrostatic interactions between two oppositely charged particles.