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Four point charges each of magnitude q are kept as shown. ABCD is a square of side a $\sqrt{2}$ . The electrostatic force on the charge at the centre O is:

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$\frac{\sqrt{2} {kq}^{2}}{2 a^{2}}$

$\frac{{kq}^{2}}{2 a^{2}}$

$\frac{{kq}^{2}}{a^{2}}$

Zero

answer is A.

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Detailed Solution

Length of half diagonal= a

The forces due to A and D get cancelled.

Net force is due to charge at C = $\frac{K q^{2}}{a^{2}}$

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