Understanding Coulomb's Law
Coulomb's Law describes the force between two point charges:
* F = k * (q1 * q2) / r²
Where:
* F is the force between the charges
* k is Coulomb's constant (a constant value)
* q1 and q2 are the magnitudes of the two charges
* r is the distance between the charges
The Effect of Doubling One Charge
Let's say:
* q1 is the original charge
* q2 is twice the magnitude of q1 (i.e., q2 = 2 * q1)
Now, if we substitute q2 in Coulomb's Law:
* F = k * (q1 * 2 * q1) / r²
* F = 2 * k * (q1 * q1) / r²
Key Observations
* The force doubles: When one charge is doubled, the force between the charges also doubles.
* The direction of the force remains the same: The force between the charges is still either attractive (opposite charges) or repulsive (like charges).
In simpler terms: The force between two charges is directly proportional to the product of their magnitudes. So, if you increase one charge by a factor of two, the force will also increase by a factor of two.
