Here's why:
* Coulomb's Law: The electric force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
* Mathematical Representation: F = k * (q1 * q2) / r²
* F = electric force
* k = Coulomb's constant
* q1 and q2 = charges of the objects
* r = distance between the objects
Doubling the distance:
* If you double the distance (r), you're essentially squaring the denominator in Coulomb's Law: (2r)² = 4r².
* Since the force is inversely proportional to the square of the distance, the force is reduced by a factor of 4.