F = k * q₁ * q₂ / r²
where:
* F is the force between the two charges (in Newtons, N)
* k is Coulomb's constant, approximately 8.98755 × 10⁹ N⋅m²/C²
* q₁ and q₂ are the magnitudes of the two charges (in Coulombs, C)
* r is the distance between the centers of the two charges (in meters, m)
Important Notes:
* Direction: The force is attractive if the charges have opposite signs (one positive and one negative) and repulsive if the charges have the same sign (both positive or both negative).
* Scalar vs. Vector: The equation above gives the magnitude of the force. To get the force vector, you need to consider its direction as well.
* Point Charges: The equation is strictly accurate for point charges (charges concentrated at a single point). In practice, it's a good approximation for charged objects that are small compared to the distance between them.
Let me know if you'd like to see some examples of how to apply Coulomb's law!