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  4. Four point charges are placed at the corners of a square ABCD of side 10 cm, as shown in figure. The force on a charge of 1 μ C placed at the centre of square is

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Q. Four point charges are placed at the corners of a square $ABCD$ of side $10\, cm$, as shown in figure. The force on a charge of $1\,\mu C$ placed at the centre of square isPhysics Question Image

Electric Charges and Fields

Solution:

Forces of repulsion on $1\,\mu C$ charge at $O$ due to $3\,\mu C$ charge, at $A$ and $C$ are equal and opposite. So they cancel each other.
Similarly, forces of attraction of $1\,\mu C$ charge at $O$ due $-4\,\mu C$ charges at $B$ and $D$ are also equal and opposite. So they also cancel each other.
Hence the net force on the charge of $1\,\mu C$ at $O$ is zero.