Electrostatic force calculator
Electrostatic force follows the same inverse-square shape as gravity, but is about 10^36 times stronger between two protons.
C
C
Force
0.898 755 18N
- Field from the first charge
- 898 755.18 V/m
- Potential from the first charge
- 89 875.518 V
- Potential energy of the pair
- 0.089 875 518
- Coulomb constant
- 8 987 551 800 N m2/C2
Show the working
- First charge = 0.000 001
- Second charge = 0.000 001
- Separation = 0.1
- Coulomb constant = 1 / (4 * pi * eps0) = 8 987 550 000
- Force = 8 987 550 000 * 0.000 001 * 0.000 001 / 0.1^2 = 0.898 755
- Field from the first charge = 8 987 550 000 * 0.000 001 / 0.1^2 = 898 755
- Potential from the first charge = 8 987 550 000 * 0.000 001 / 0.1 = 89 875.5
- Potential energy of the pair = 8 987 550 000 * 0.000 001 * 0.000 001 / 0.1 = 0.089 875 5
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- F = q1 q2 / (4 pi eps0 r^2)
- E = q / (4 pi eps0 r^2)
- V = q / (4 pi eps0 r)
Two microcoulombs at 10 cm push each other apart with about 0.9 N — roughly the weight of a 90 gram object.