Here's the breakdown:

Coulomb's Law:

* Magnitude: The force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

* Direction: The force is attractive if the charges are of opposite signs and repulsive if they are of the same sign.

Mathematical Formula:

```

F = k * (q1 * q2) / r²

```

Where:

* F is the force (in Newtons)

* k is Coulomb's constant (approximately 8.98755 × 10⁹ N⋅m²/C²)

* q1 and q2 are the magnitudes of the charges (in Coulombs)

* r is the distance between the charges (in meters)

Key Points:

* Scalar Quantity: Coulomb's Law only calculates the magnitude of the force. The direction must be determined separately based on the signs of the charges.

* Inverse Square Law: The force decreases rapidly as the distance between the charges increases.

* Superposition Principle: If there are multiple charges present, the net force on a particular charge is the vector sum of the forces due to each individual charge.

Examples:

* Two positively charged objects will repel each other.

* Two negatively charged objects will repel each other.

* A positively charged object and a negatively charged object will attract each other.

Important Note: This formula applies to point charges, which are idealized objects with no size. For extended objects, the force calculation can be more complex.