Coulomb's Law
The relationship between electric force, charge, and distance is described by Coulomb's Law:
* F = k * (q1 * q2) / r²
Where:
* F is the electric force
* k is Coulomb's constant (a proportionality constant)
* q1 and q2 are the magnitudes of the charges of the two objects
* r is the distance between the centers of the two objects
The Inverse Square Relationship
Notice the r² in the denominator. This means the force is inversely proportional to the square of the distance. This is a crucial aspect:
* Double the distance: The force becomes 1/4 as strong.
* Triple the distance: The force becomes 1/9 as strong.
Visualizing the Relationship
Imagine two magnets. When they are close, they exert a strong attractive or repulsive force. As you move them further apart, the force weakens significantly. This same principle applies to electrically charged objects.
In summary:
* The electric force weakens rapidly as the distance between charged objects increases.
* This weakening follows an inverse square relationship, meaning the force decreases proportionally to the square of the distance.
