It is required to hold four equal point charges \( +q \) in equilibrium at the corners of a squa...

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It is required to hold four equal point charges \( +q \) in equilibrium at the corners of a square. Find the point charge that will do this, if placed at the centre of the square.
(A) \( \left(\frac{1+2 \sqrt{2}}{2}\right) q \)
(B) \( -\left(\frac{1+2 \sqrt{2}}{4}\right) q \)
(C) \( -\left(\frac{1+2 \sqrt{2}}{2}\right) q \)
(D) \( \left(\frac{1+2 \sqrt{2}}{4}\right) 4 \)
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