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 charges is possible for P, Q, R, S, T and U respectively

+,-,+,-,-,+

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+,-,+,-,+,-

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+,+,-,+,-,-

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-,+,+,-,+,-

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Solution

The correct option is D -,+,+,-,+,-
If the charges are arranged according to the option (d), the electric fields 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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The correct option is D -,+,+,-,+,-If the charges are arranged according to the option (d), the electric fields due to P and S and due to Q and T add to zero, while due to U and R will be added up.

The correct option is D -,+,+,-,+,-
If the charges are arranged according to the option (d), the electric fields due to P and S and due to Q and T add to zero, while due to U and R will be added up.