How can you quadruple the electric force between the two charge particles? A. Increasing the distance between the charges by a factor of two. B. Increasing the product of charges by a factor of two. C. Increasing the distance between the charges by a factor of four. D. Increasing the product of charges by a factor of four

## Step 1<br />The problem involves understanding the relationship between the electric force between two charged particles and the distance between them. According to Coulomb's Law, the electric force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. This relationship can be represented by the formula:<br />### \(F = k \frac{q_1 q_2}{r^2}\)<br />where \(F\) is the force, \(k\) is Coulomb's constant, \(q_1\) and \(q_2\) are the charges, and \(r\) is the distance between the charges.<br /><br />## Step 2<br />To quadruple the force, we need to increase the numerator of the fraction (the product of the charges) by a factor of four. This is because the force is directly proportional to the product of the charges.<br /><br />## Step 3<br />Increasing the distance between the charges would actually decrease the force, not increase it. This is because the force is inversely proportional to the square of the distance.