Six charges, three positive and three negative of equal magnitude are to be placed at the vertices of a regular hexagon such that the electric field at O is double the electric field when only one positive charge of same magnitude is placed at R. Which of the following arrangements of charge is possible for, P, Q, R, S, T and U respectively?

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+,+,-,+,-,-

+,-,+,-,+,-,

+, -, +,-,-, +

-,+,+,-,+,-

answer is D.

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Detailed Solution

If same charges are placed in diagonally opposite vertices the electric field due to the same charges gets cancelled. According to option (4), the electric field due to P and S and due to Q and T add to Zero. While due to U and R will be added Up.

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