Suppose you wanted to increase the force between two point charges by a factor of 5. By what factor must you change the distance between them

the distance between the two point charges will be reduced by a factor of  

Explanation:

The force between two point charges is given by Coulomb's law;

where;

k is Coulomb's constant

Q₁ and Q₂ are two point charges

r is the distance between the two charges

From the equation above, the following relationship between force and distance can be deduced;

F₁r₁² = F₂r₂²

F₁r₁² = (5F₁)r₂²

r₁² = 5r₂²

Thus, the distance between the two point charges will be reduced by a factor of  

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