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Coulomb's Law

Electrostatic Force — Calculation, Visualization & Graphs

F = k |q₁q₂| / r²
k = 8.9875517923 × 10⁹ N·m²/C²

1. Enter the Values

2. Calculated Result

Electrostatic Force

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Enter the values and click Calculate.

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3. Step-by-Step Solution

Enter values above to generate the complete solution.

4. Coulomb's Law Diagram

+q₁
−q₂
r
→
←

5. 3D Electric Field Visualization

+q₁
−q₂
➜
➜
LIVE MODEL

Force field relationship

Change a value to see the 3D model respond.

Separation—
Force—
Interaction—
Direction—

6. Coulomb's Law Graphs

Force vs Distance

The force decreases according to the inverse-square law.

F = k|q₁q₂| / r²Live point: —

Force vs Charge q₁

Force is directly proportional to the magnitude of charge.

F changes linearly with |q₁|Live point: —

7. Important Relationships

F ∝ q₁

Increasing q₁ increases the force.

F ∝ q₂

Increasing q₂ increases the force.

F ∝ q₁q₂

Force depends on both charges.

F ∝ 1/r²

Force decreases rapidly with distance.

8. Physical Explanation

Coulomb's Law describes the electrostatic force between two point charges.

9. Theory

What is Coulomb's Law?

Coulomb's Law states that the electrostatic force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.


Formula

F = k |q₁q₂| / r²

Where:

F = electrostatic force in Newtons (N)

q₁ and q₂ = electric charges in Coulombs (C)

r = distance between the charges in metres (m)

k = Coulomb's constant


Attraction and Repulsion

Like charges repel each other, while unlike charges attract each other.


Inverse-Square Law

If the distance between two charges is doubled, the electrostatic force becomes one-fourth of its original value.

F ∝ 1/r²