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Calculators / Science / Coulomb force

Coulomb force calculator

Estimate electrostatic force between two point charges in vacuum.

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Your result

Signed radial force1.8N
Force magnitude1.8N

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How to calculate

Estimate electrostatic force between two point charges in vacuum.

Signed radial force = 8.9875517923e9*a*b/1e12/r^2 N; Force magnitude = 8.9875517923e9*abs(a*b)/1e12/r^2 N

Worked example

First charge (µC): 1; Second charge (µC): 2; Charge separation (m): 0.1.

Signed radial force: 1.8 N; Force magnitude: 1.8 N.

Assumptions and limits

Positive signed force means repulsion; negative means attraction. Uses point charges in vacuum, excluding material permittivity, shielding and distributed charges.

Results are rounded for display; calculations use unrounded values. Read our calculation methodology.

Understanding the result

Estimate electrostatic force between two point charges in vacuum.

When this tool is useful

Signed radial force = 8.9875517923e9*a*b/1e12/r^2 N; Force magnitude = 8.9875517923e9*abs(a*b)/1e12/r^2 N

Understanding your inputs

InputWhat to enter
First charge (µC)Enter a number of at least -1000000000000 and no more than 1000000000000.
Second charge (µC)Enter a number of at least -1000000000000 and no more than 1000000000000.
Charge separation (m)Enter a number of at least 1e-12 and no more than 1000000000000.

Frequently asked questions

What assumptions does this calculation use?

Positive signed force means repulsion; negative means attraction. Uses point charges in vacuum, excluding material permittivity, shielding and distributed charges.

How is the result calculated?

Signed radial force = 8.9875517923e9*a*b/1e12/r^2 N; Force magnitude = 8.9875517923e9*abs(a*b)/1e12/r^2 N