Coulomb's Law Calculator

The electrostatic force between two point charges. Charges are in microcoulombs (µC).

Result

Force (N)

0.8987

How it works

F = k · q₁ · q₂ / r² (k = 8.99 × 10⁹)

Coulomb's law gives the electrostatic force between two point charges: F = k·q₁·q₂/r², with k ≈ 8.99 × 10⁹ N·m²/C². Enter charges in microcoulombs (µC) and a separation in metres, and the result comes out in newtons. The structure mirrors Newton's law of gravitation exactly — a product of two source quantities over the square of the distance. The difference is strength and sign: the electrostatic force is astronomically stronger, and it both attracts (opposite charges) and repels (like charges), while gravity only ever pulls. The inverse square is the dominant behaviour: double the separation and the force falls to a quarter; triple it and only a ninth remains. This law explains why atoms hold together, why a balloon rubbed on hair sticks to a wall, and why lightning needs an enormous charge to jump an air gap.

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Frequently asked questions

What is k in Coulomb’s law?

The Coulomb constant, about 8.99 × 10⁹ N·m²/C², linking charge and distance to force.

Why divide by distance squared?

The force spreads over a sphere; doubling the distance quarters the force (inverse-square law).

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