Physics

Coulomb's Law Calculator

Find the force of attraction or repulsion between two charges.

Your numbers

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Force magnitude (N)
Force magnitude (N)
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Nature of the force
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Coulomb's Law Calculator by TheCalcTools

How the Coulomb's Law Calculator works

Enter both charges in microcoulombs (use a negative sign for negative charges) and the distance between them.

The force is proportional to the product of the charges.

It falls with the square of the distance.

The formula

F = k |q₁ q₂| ÷ r²k = 8.9875517923 × 10⁹ N·m²/C²

Worked example

Using the default values shown in the calculator:

Charge 1 (µC)5
Charge 2 (µC)-3
Distance (m)0.2
  1. F = 8.99 × 10⁹ × 5 × 10⁻⁶ × 3 × 10⁻⁶ ÷ 0.2² = 3.370 N.
  2. The force is Attractive.

Result:

Force magnitude (N)3.3703
Nature of the forceAttractive

Frequently asked questions

Do opposite charges attract?

Yes. Opposite charges attract and like charges repel.

How is it like gravity?

Both follow an inverse-square law, but the electric force is vastly stronger and can be repulsive.

Sources and further reading

More in Physics · All calculators

This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.