Paritian

Physics

Coulomb's Law Calculator

Electrostatic force between two point charges, the field of the first, and their potential energy.

Results

Force -13.48133 N
Force 13.48133 N
Electric field 4,493,775.89 V/m
Energy -1.348133 J

What this tool does

A negative result means attraction and a positive one repulsion, because opposite charges give a negative product. The law has exactly the same inverse-square shape as gravity, but electrostatic force is some thirty-six orders of magnitude stronger — which is why a small comb lifts paper against the pull of the entire Earth.

Formula

F = k × q₁ × q₂ ÷ r² (k ≈ 8,987 551 79 × 10⁹ N·m²/C²)

Variables

SymbolMeaningUnit
q1First chargeµC
q2Second chargeµC
rDistancecm
FForceN
FAForceN
EFElectric fieldV/m
PEEnergyJ

Worked example

  • First charge5 µC
  • Second charge-3 µC
  • Distance10 cm
  • Force-13.48133 N
  • Force13.48133 N
  • Electric field4,493,775.89 V/m
  • Energy-1.348133 J

Limitations

  • The formula assumes ideal conditions: no friction losses, no air resistance and no efficiency losses unless you enter them.
  • Mixing units is the most common source of error. Convert every input to the units shown next to each field before calculating.