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(C) Let the centre of the square be $O$. Let a positive charge $+Q$ be placed at $O$. The distance from each corner to the centre is $r$. The forces e

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along diagonal $BD$

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(C) Let the centre of the square be $O$. Let a positive charge $+Q$ be placed at $O$. The distance from each corner to the centre is $r$. The forces exerted by the charges at $A, B, C, D$ on the charge at $O$ are:$1$. Force due to $-2q$ at $A$: $\vec{F}_A$ is directed towards $A$ (attractive).$2$. Force due to $+q$ at $B$: $\vec{F}_B$ is directed away from $B$ (repulsive).$3$. Force due to $-q$ at $C$: $\vec{F}_C$ is directed towards $C$ (attractive).$4$. Force due to $+2q$ at $D$: $\vec{F}_D$ is directed away from $D$ (repulsive).Let the diagonal $BD$ be along the $x$-axis and $AC$ be along the $y$-axis. The net force components can be calculated by vector addition. The resultant force $\vec{F}_R$ is directed along the diagonal $BD$ because the repulsive force from $+2q$ at $D$ and the attractive force from $-2q$ at $A$ combine with the other components to result in a net force directed along the diagonal $BD$.

Four charges are arranged at the corners of a square $ABCD$,as shown. The force on a $+ve$ charge kept at the centre of the square is

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