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Coulomb’s Law Calculator

Coulomb’s Law Calculator

Coulombs (C)
Coulombs (C)
Meters (m)
Newtons (N)

What is Coulomb’s Law?

Coulomb’s Law describes the electrostatic force of attraction or repulsion between two electrically charged particles. It is one of the most fundamental laws in electrostatics and forms the foundation of topics such as electric fields, electric potential, and capacitance.

Coulomb’s Law Formula

The mathematical expression of Coulomb’s Law is:

F = k × (q₁ × q₂) / r²

Where:
F = Electrostatic force (Newtons)
q₁, q₂ = Magnitudes of electric charges (Coulombs)
r = Distance between charges (meters)
k = Coulomb’s constant = 9 × 10⁹ N·m²/C²

How to Use This Coulomb’s Law Calculator

1. Enter the values of charge q₁ and charge q₂ in coulombs.
2. Enter the distance between the charges in meters.
3. Leave the force field blank.
4. Click the Calculate button to compute the electrostatic force.

You may also leave any one of the other fields blank to calculate it using the remaining values.

Example Calculation

Suppose two point charges of 2 µC and 3 µC are placed 0.5 m apart in air.

Substitute the values:

F = 9 × 10⁹ × (2 × 10⁻⁶ × 3 × 10⁻⁶) / (0.5)²
F = 0.216 N

This result indicates the magnitude of the electrostatic force acting between the two charges. If the charges are like charges, the force is repulsive; if they are unlike charges, the force is attractive.

Applications of Coulomb’s Law

Coulomb’s Law is widely used in physics and engineering to analyze electric fields, capacitor design, atomic structure, and electrostatic devices. It is essential for physics students, EEE and ECE students, and professionals working in electrical and electronic system design.

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