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.
Mathematically, this can be expressed as:
F = k * (q1 * q2) / r²
where:
* F is the electrostatic force between the 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 charges
Here's how the distance affects the force:
* Inverse Square Relationship: The force is inversely proportional to the *square* of the distance. This means that if you double the distance between the charges, the force becomes four times weaker. If you triple the distance, the force becomes nine times weaker.
* Decreasing Force with Increasing Distance: As the distance between the charges increases, the force between them decreases rapidly. This is why electrostatic forces are considered short-range forces.
* Attractive or Repulsive: The direction of the force depends on the signs of the charges:
* Like charges (both positive or both negative) repel each other.
* Opposite charges (one positive and one negative) attract each other.
In summary:
* The closer the charges, the stronger the force.
* The farther apart the charges, the weaker the force.
This relationship is fundamental in understanding how electric charges interact and is essential for explaining various phenomena like the behavior of atoms, the operation of electrical circuits, and the formation of lightning.
