Four point charges, each equal to q = 4 μC, are held at the corners of a square ABCD of side a = 10.

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Four point charges, each equal to q = 4 μC, are held at the corners of a square ABCD of side a = 10 cm. Find the magnitude and sign of a charge Q placed at the center of the square so that the system of charges is in equilibrium.
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