Coulomb's Law
The electric force between two charged objects is described by Coulomb's Law:
* F = k * (q1 * q2) / r²
Where:
* F is the electric force
* k is Coulomb's constant (approximately 8.99 x 10⁹ N⋅m²/C²)
* q1 and q2 are the magnitudes of the charges
* r is the distance between the centers of the charges
The Effect of Doubling the Distance
When the distance (r) is doubled, the denominator of the equation is squared. This means:
* (2r)² = 4r²
Therefore, the electric force becomes four times smaller (1/4 of the original force).
In Summary
Doubling the distance between two positively charged objects decreases the electric force between them by a factor of four.