1. Charge of the particles (q1 and q2):
* Direct Proportionality: The force is directly proportional to the product of the charges of the two particles. This means if you double the charge of one particle, the force doubles. If you double the charge of both particles, the force quadruples.
* Like charges repel, unlike charges attract: If the charges have the same sign (both positive or both negative), they repel each other. If they have opposite signs (one positive and one negative), they attract each other.
2. Distance between the particles (r):
* Inverse Square Law: The force is inversely proportional to the square of the distance between the centers of the two particles. This means if you double the distance, the force decreases by a factor of four. If you triple the distance, the force decreases by a factor of nine.
3. Permittivity of the medium (ε):
* The role of the medium: The electrical force is affected by the medium surrounding the particles. The permittivity (ε) of the medium represents its ability to store electrical energy. A higher permittivity means the medium reduces the force between the charges. For example, the force between two charges is weaker in water than in air because water has a higher permittivity than air.
Mathematical Representation:
Coulomb's Law expresses this relationship mathematically:
F = k * (q1 * q2) / r²
where:
* F is the magnitude of the electrostatic force
* k is Coulomb's constant (approximately 8.98755 × 10⁹ N⋅m²/C²)
* q1 and q2 are the magnitudes of the charges
* r is the distance between the centers of the charges
In summary:
* The force between two charged particles is stronger with larger charges and decreases rapidly with increasing distance.
* The surrounding medium affects the force, with a higher permittivity leading to a weaker force.
