#### Question

Coulomb measured the deflection of sphere A when spheres A and B had equal charges and were a distance, r, apart. He then made the charge on B one-third the charge on A. How far apart would the two spheres then have had to be for A to have had the same deflection that it had before?

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#### Step 1

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Coulomb's law states that the electric force $F$ between charges $q_A$ and $q_B$ at a distance $r$ from each other is given as:

$F = \dfrac{k q_A q_B}{r^2}$

where $k = 9 \cdot 10^9 ~\mathrm{\dfrac{N m^2}{C^2}}$ is Coulomb constant.

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