Coulomb's Law Calculator
The electrostatic force between two point charges. Charges are in microcoulombs (µC).
Result
Force (N)
0.8987
How it works
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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