Coulomb’s Law is a fundamental principle in physics. It quantifies the electrostatic force between two stationary charged particles. The magnitude of the electrostatic force between two point charges is directly proportional to the product of the charges’ magnitudes. It is also inversely proportional to the square of the distance between them.
Mathematical Expression:
F = k * (q₁ * q₂) / r²
Where:
- F is the electrostatic force between the charges.
- k is Coulomb’s constant, approximately equal to 8.987 × 10⁹ N m²/C².
- q₁ and q₂ are the magnitudes of the two charges.
- r is the distance between the centers of the two charges.
Key Points: - Like charges repel. Unlike charges attract. Charges with the same sign (both positive or both negative) repel each other. Charges with opposite signs attract each other.
- Inverse-square law: The force between the charges decreases rapidly as the distance between them increases.
- Point charges: Coulomb’s law is strictly applicable to point charges, which are idealized objects with infinitesimally small size. However, it can approximate the force between larger objects. This is true if the distance between them is much larger than their sizes.
Applications of Coulomb’s Law: - Understanding atomic and molecular interactions
- Designing electronic devices
- Explaining electrostatic phenomena such as lightning and static electricity can be challenging. Coulomb’s law is a cornerstone of electrostatics and has far-reaching implications in various fields of physics and engineering.