Coulomb's Law Calculator

Enter your two charges (q₁ and q₂) and the distance (r) between them, and this Coulomb's Law Calculator computes the electrostatic force acting between them — plus whether that force is attractive or repulsive, with full unit flexibility for each input.

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Electrostatic Force

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Force Type

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Coulomb's Constant

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Frequently Asked Questions

How do I calculate the force between two charged particles?

Use Coulomb's law: F = k × |q₁ × q₂| / r². Enter the charges, distance, and select appropriate units. The calculator will determine if the force is attractive (opposite charges) or repulsive (like charges).

Is Coulomb's law an inverse square law?

Yes, Coulomb's law is an inverse square law. The electrostatic force is inversely proportional to the square of the distance between charges. Doubling the distance reduces the force to one-fourth of its original value.

What is the force between a proton and an electron in a hydrogen atom?

In a hydrogen atom, the proton (+1.6 × 10⁻¹⁹ C) and electron (-1.6 × 10⁻¹⁹ C) are separated by about 5.3 × 10⁻¹¹ m. This results in an attractive force of approximately 8.2 × 10⁻⁸ N.

Is Coulomb's force attractive or repulsive?

The force is attractive when charges have opposite signs (+ and -) and repulsive when charges have the same sign (both + or both -). The calculator automatically determines this based on your input values.

What units can I use for charges and distances?

For charges: coulombs (C), millicoulombs (mC), microcoulombs (µC), nanocoulombs (nC), and picocoulombs (pC). For distances: meters (m), centimeters (cm), millimeters (mm), micrometers (µm), and nanometers (nm).

What is Coulomb's constant?

Coulomb's constant (k) is approximately 8.99 × 10⁹ N⋅m²/C². This fundamental constant relates the electrostatic force to the charges and distance in Coulomb's law equation.

When is Coulomb's law valid?

Coulomb's law applies to point charges or spherically symmetric charge distributions in a vacuum. It's most accurate when charges are stationary and the distance between them is much larger than their physical size.

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