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Coulomb's Law Calculator

Calculate the electrostatic force between two point charges.

Electrostatic force
5.3925 N
Nature
Attractive

Step-by-step working

  1. F = k q₁ q₂ / r², k = 8987551792.3 N·m²/C²
  2. = 8987551792.3 × 3.0000e-6 × -2.0000e-6 / 0.1² = -5.3925 N

Mathematical Formula

F = k q₁ q₂ / r², k = 8.9875517923 × 10⁹ N·m²/C².

Overview & Explanation

Like charges repel, unlike attract, with force ∝ 1/r².

How It Works

  • Convert μC to C.
  • Apply Coulomb’s law.
  • Sign gives attraction or repulsion.

Practical Applications

  • Electrostatics homework.

Example 1: +3 μC and −2 μC at 10 cm

Attractive ≈ 5.39 N.

1

Inputs

Charge q₁ (μC): 3 · Charge q₂ (μC): -2 · Distance (m): 0.1

= entered
2

Step 1

F = k q₁ q₂ / r², k = 8987551792.3 N·m²/C²

3

Step 2

= 8987551792.3 × 3.0000e-6 × -2.0000e-6 / 0.1² = -5.3925 N

4

Electrostatic force

Result

= 5.3925 N

Example 2: two +1 μC at 1 m

≈ 9 mN.

1

Inputs

Charge q₁ (μC): 1 · Charge q₂ (μC): 1 · Distance (m): 1

= entered
2

Step 1

F = k q₁ q₂ / r², k = 8987551792.3 N·m²/C²

3

Step 2

= 8987551792.3 × 1.0000e-6 × 1.0000e-6 / 1² = 0.009 N

4

Electrostatic force

Result

= 0.009 N

How it's calculated & sources

F = k q₁ q₂ / r², k = 8.9875517923 × 10⁹ N·m²/C².

Frequently Asked Questions

What is k?
1/(4πε₀) ≈ 8.99 × 10⁹ N·m²/C².
In a medium?
Divide by the relative permittivity.
Point charges only?
Yes, or spherically symmetric charges.