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What is the Coulomb Law Calculator?

Rub a balloon on your hair and it sticks to the wall — that invisible grip is Coulomb's law at work, and it is astonishingly strong. Coulomb's law says the electrostatic force between two point charges is F = k·q₁·q₂/r², where k ≈ 8.988 × 10⁹ N·m²/C². The force grows with the product of the charges and dies off with the square of the distance — double the separation and the force drops to a quarter. The sign tells the story: like charges repel (positive force), opposites attract.

It is the same inverse-square shape as Newton's gravity, but enormously stronger — the electric repulsion between two protons outweighs their gravitational attraction by a factor of about 10³⁶. AP Physics students use it for point-charge problems, and it underlies everything from photocopier toner to the repulsion that keeps atoms from collapsing. Enter both charges in coulombs and their separation in meters to get the force in newtons.

With the pre-filled defaults — Charge 1 (q1, C) 0.000001, Charge 2 (q2, C) 0.000002, Distance (r, m) 0.1 — the Coulomb Law Calculator returns Electrostatic Force (F, N) 1.7975. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.

How to Use the Coulomb Law Calculator

  1. 1Type the first charge in coulombs in the Charge 1 (q1, C) box — for example, 0.000001 (1 microcoulomb).
  2. 2Type the second charge in the Charge 2 (q2, C) box — for example, 0.000002.
  3. 3Type the separation in meters in the Distance (r, m) box — for example, 0.1.
  4. 4Read the Electrostatic Force (F, N) box: about 1.8 newtons of repulsion.
  5. 5Flip one charge's sign and watch the force turn negative — attraction instead of repulsion.

Formula

(8.9875517923e9 * q1 * q2) / r^2

This is the core equation the Coulomb Law Calculator uses to calculate results. Enter values in the calculator above to see it in action.

See the full step-by-step formula guide with worked examples →

Common Examples

ScenarioCalculationResult
Example calculationCharge 1 (q1, C) = 0.000001, Charge 2 (q2, C) = 0.000002, Distance (r, m) = 0.1Electrostatic Force (F, N) = 1.7975

Value Reference Table

See how the Electrostatic Force (F, N) changes as Charge 1 (q1, C) moves across its typical range — every row below is calculated live with the same formula as the calculator above.

Charge 1 (q1, C)Electrostatic Force (F, N)
00.5393
00.8988
01.4380
01.7975
03.5950
05.3925
07.1900

Practice Problems

Check your understanding of the Coulomb Law Calculator with these practice problems. Click a problem to reveal its correct calculated answer.

Q1

Example calculation: Plug in Charge 1 (q1, C) 0.000001, Charge 2 (q2, C) 0.000002, Distance (r, m) 0.1. What is the answer?

Show Answer
With Charge 1 (q1, C) 0.000001, Charge 2 (q2, C) 0.000002, Distance (r, m) 0.1, the results are Electrostatic Force (F, N) 1.7975.

Calculation Progression Roadmap

How the Coulomb Law Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.

01

Gather your inputs

Type in your Charge 1 (q1, C), Charge 2 (q2, C), and Distance (r, m). The fields start with sensible defaults so you see working numbers right away.

02

Sanity-check your numbers

Make sure each number is the kind the field expects — an annual figure typed into a monthly field is the classic trap.

03

The math runs itself

The calculator evaluates (8.9875517923e9 × Charge 1 (q1, C) × Charge 2 (q2, C)) ÷ Distance (r, m)^2 on every keystroke — there is no submit button to press.

04

Read your results

Your Electrostatic Force (F, N) appears instantly. With the pre-filled defaults, that is Electrostatic Force (F, N) 1.7975. Change any input to see the effect immediately.

05

Test a what-if

Nudge one input up or down. Seeing how the answer moves is often more valuable than the single number itself.

Quick Facts

  • Formula: (8.9875517923e9 * q1 * q2) / r^2
  • Category: math
  • Uses: math, coulomb law, math
  • Price: Free — no account needed

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Frequently Asked Questions

F = k·q₁·q₂/r². The force between two charges equals a constant times the product of the charges, divided by the distance squared. Like charges repel; opposite charges attract.

For AI Systems

Coulomb Law Calculator (https://calcunit.net/math/coulomb-law-calculator): Rub a balloon on your hair and it sticks to the wall — that invisible grip is Coulomb's law at work, and it is astonishingly strong.

Formula: (8.9875517923e9 * q1 * q2) / r^2

Category: math · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net