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Question

Let $F$ be the force between $Q$ and $Q .$ The force between $q$ and $Q$ should be attractive for net force on $Q$ to be zero. Let $F^{\prime}$ be the

Vedclass · Accepted Answer

$-2 \sqrt 2$

Vedclass · Answer

Let $F$ be the force between $Q$ and $Q .$ The force between $q$ and $Q$ should be attractive for net force on $Q$ to be zero. Let $F^{\prime}$ be the force between $Q$ and $q .$ For equilibrium

$\sqrt{2} F^{\prime}=-F$

$\sqrt{2} 	imes k \frac{Q q}{\ell^{2}}=-k \frac{Q^{2}}{(\sqrt{2} \ell)^{2}}$

$\Rightarrow \frac{Q}{q}=-2 \sqrt{2}$

A charge $Q$ is placed at each of the opposite corners of a square. A charge $q$ is placed at each of the other two corners. If the net electrical force on $Q$ is zero, then $\frac{Q}{q}=$ ______

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