Coulomb's Law

Also known as force between two charges · electrostatic force

F=ke q1q2r2F = \frac{k_e \, q_{1} q_{2}}{r^{2}}

Worked example: Two 1 uC charges 1 m apart → 8.98755 mN — press Try an example to run it live, then adjust anything.

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Grade 12Grade 12 Physics

Coulomb's Law →

UniversityCircuits & Electrical Power

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Coulomb's Law explained

q1q2rFF

In 1785 Charles-Augustin de Coulomb hung a charged sphere on a fine torsion wire and measured how hard a second charge twisted it. The result is the electric twin of Newtonian gravity: the force between two point charges grows with the product of the charges and falls off with the square of the distance. Electricity is by far the stronger force: the electric repulsion between two protons is about 10³⁶ times their gravitational attraction — which is why a rubbed balloon can lift paper against the pull of the entire Earth.

Worked example: two 1 µC charges held 10 cm apart feel F = kₑ × (10⁻⁶)² / (0.1)² ≈ 0.9 N — roughly the weight of an apple, from specks of charge. Enter charge magnitudes here; the sign of the product only tells you whether the pair attracts (opposite signs) or repels (like signs).

Coulomb's Law formula

F=ke q1q2r2F = \frac{k_e \, q_{1} q_{2}}{r^{2}}
Where
  • FF= Electrostatic force (N)
  • q1q_{1}= Charge 1 (C)
  • q2q_{2}= Charge 2 (C)
  • rr= Separation distance (m)