F = k * (q1 * q2) / r²
where:
* F is the electrostatic force between the two charges
* k is Coulomb's constant (approximately 8.98755 × 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
Explanation:
* Direct Proportionality: This means that if you increase one of the charges, the force will increase proportionally. If you double one charge, the force will double. If you triple one charge, the force will triple.
* Product of Charges: The force is proportional to the product of the two charges. This means that if you have two charges that are both large, the force between them will be very strong. If you have two charges that are both small, the force between them will be very weak.
* Inverse Square Law: The force is also inversely proportional to the square of the distance between the charges. This means that if you double the distance between the charges, the force will decrease by a factor of four. If you triple the distance, the force will decrease by a factor of nine.
Important Points:
* Attractive vs. Repulsive Force: The force can be either attractive or repulsive. If the two charges have the same sign (both positive or both negative), the force is repulsive. If the two charges have opposite signs (one positive and one negative), the force is attractive.
* Units: Charge is measured in Coulombs (C), distance is measured in meters (m), and force is measured in Newtons (N).
By understanding this relationship, you can predict and calculate the electrostatic force between any two charges.
