Coulomb's Law states that:
* The force between two point charges is directly proportional to the product of the magnitudes of the charges.
* The force is inversely proportional to the square of the distance between the charges.
* The force is attractive if the charges have opposite signs and repulsive if they have the same sign.
Mathematical Expression:
The magnitude of the electrostatic force (F) between two point charges (q1 and q2) separated by a distance (r) is given by:
```
F = k * (q1 * q2) / r^2
```
where:
* k is Coulomb's constant, approximately equal to 8.98755 × 10^9 N⋅m^2/C^2
* q1 and q2 are the magnitudes of the charges (in Coulombs)
* r is the distance between the charges (in meters)
Key Points:
* Direct Proportionality: If you increase the magnitude of either charge, the force between them increases proportionally.
* Inverse Square Law: As the distance between the charges increases, the force decreases rapidly (inversely proportional to the square of the distance).
* Attraction and Repulsion: Charges with opposite signs attract each other, while charges with the same sign repel each other.
Applications:
Coulomb's Law is fundamental to understanding many aspects of electromagnetism, including:
* The behavior of electric fields
* The interaction of charged particles
* The design of electrical devices such as capacitors and transistors
Limitations:
* Coulomb's Law applies only to point charges, which are idealized objects with zero size.
* It does not account for the effects of electric fields from other sources, such as magnetic fields.
