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.