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  4. Four charges +a,+2 q,+q and -2 q are placed at the corners of a square A B C D respectively. The force on a unit positive charge kept at the centre ' O ' is

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Q. Four charges $+a,+2 q,+q$ and $-2 q$ are placed at the corners of a square $A B C D$ respectively. The force on a unit positive charge kept at the centre ' $O$ ' is

KCETKCET 2022Electric Charges and Fields

Solution:

Force due to charge at $D$ and $B$ is along $\overrightarrow{ F _{ O }} \overrightarrow{ D }$ towards $\overrightarrow{ B }$.
Force due to charge at $A$ and $C$ is along $\overrightarrow{ F _{ A } O }$ towards $\overrightarrow{ A }$.
$\therefore$ Resultant displacement will be along $\overrightarrow{ F }$ which is perpendicular to $AB$.
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