- 2067 Shrawan · 1 mark
State Coulomb's law with example
Short answer
Force between point charges: F = (1/4πε₀) Q₁Q₂/R² along the line joining them. Example: For 2 μC and 3 μC at 3 cm, F = 60 N repulsive.
State Coulomb's law with an example.
Coulomb's law: the force between two point charges at rest is directly proportional to the product of the charges and inversely proportional to the square of the distance between them, and acts along the line joining them.
F = Q₁Q₂ / (4πε₀R²) a_R (force on Q₂ due to Q₁, R = distance)
1/(4πε₀) = 9×10⁹ N·m²/C²
Like charges repel; unlike charges attract.
Example. Two charges Q₁ = 2 μC and Q₂ = 3 μC are 3 cm (0.03 m) apart in free space:
F = (9×10⁹)(2×10⁻⁶)(3×10⁻⁶)/(0.03)² = 0.054/(9×10⁻⁴) = 60 N (repulsive)
✓ Answer checked by Claude Opus 5.5 (high effort)