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(C) Let the distance between two spheres $A$ $(+q)$ and $B$ $(-q)$ be $r$. The initial force between them is $F = \frac{1}{4 \pi \varepsilon_0} \frac{

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$8F$, towards the $-q$ charge

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(C) Let the distance between two spheres $A$ $(+q)$ and $B$ $(-q)$ be $r$. The initial force between them is $F = \frac{1}{4 \pi \varepsilon_0} \frac{q^2}{r^2}$.When a third sphere $O$ with charge $+q$ is placed at their midpoint (at distance $r/2$):Repulsive force exerted by sphere $A$ $(+q)$ on sphere $O$ $(+q)$: $F_{AO} = \frac{1}{4 \pi \varepsilon_0} \frac{q \cdot q}{(r/2)^2} = 4 \left( \frac{1}{4 \pi \varepsilon_0} \frac{q^2}{r^2} \right) = 4F$ (towards $-q$).Attractive force exerted by sphere $B$ $(-q)$ on sphere $O$ $(+q)$: $F_{OB} = \frac{1}{4 \pi \varepsilon_0} \frac{|-q| \cdot q}{(r/2)^2} = 4 \left( \frac{1}{4 \pi \varepsilon_0} \frac{q^2}{r^2} \right) = 4F$ (towards $-q$).Total force $F' = F_{AO} + F_{OB} = 4F + 4F = 8F$. This force will act in the direction of the $-q$ charge.

Two identical spheres have charges $+q$ and $-q$ and are placed at a certain distance. The force between them is $F$. If a third identical sphere with charge $+q$ is placed exactly between the two spheres, what is the magnitude and direction of the force experienced by it?

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