Understanding Coulomb's Law
Coulomb's Law describes the electrostatic force between two point charges:
* F = k * (q1 * q2) / r²
Where:
* F is the force
* k is Coulomb's constant
* q1 and q2 are the magnitudes of the charges
* r is the distance between the charges
The Effect of Changes
1. Doubling the Charges: If you double both q1 and q2, the numerator of the equation (q1 * q2) becomes four times larger (2 * 2 = 4).
2. Halving the Distance: If you halve the distance (r), the denominator of the equation (r²) becomes four times smaller (1/2 * 1/2 = 1/4).
The Net Effect
Since the numerator is multiplied by 4 and the denominator is divided by 4, the overall effect is that the force (F) becomes 16 times stronger.
In summary: Doubling the magnitudes of both charges and halving the distance between them increases the electrostatic force by a factor of 16.
