F = k * (q1 * q2) / r²
Where:
* F is the electric force
* k is Coulomb's constant (approximately 8.98755 × 10⁹ N⋅m²/C²)
* q1 and q2 are the magnitudes of the charges of the two particles
* r is the distance between the centers of the two particles
To increase the electric force by a factor of 2, you have a few options:
1. Double the magnitude of one charge: If you double either q1 or q2, the force will also double.
2. Double both charges: If you double both q1 and q2, the force will increase by a factor of 4 (2 * 2 = 4).
3. Reduce the distance between the charges by a factor of the square root of 2: Since the distance is squared in the denominator, reducing it by √2 will increase the force by a factor of 2.
In summary:
* Doubling one charge doubles the force.
* Doubling both charges quadruples the force.
* Halving the distance between the charges quadruples the force.
Remember that the force is attractive if the charges have opposite signs and repulsive if they have the same sign.
