JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Critical Thinking

  • question_answer
    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 [IIT-JEE (Screening) 2004]

    A)                                                      \[+,\,-,\,+,\,-,\,-,\,+\]

    B)                    \[+,\,-,\,+,\,-,\,+,\,-\]

    C)                    \[+,\,+,\,-,\,+,\,-,\,-\]

    D)                    \[-,\,+,\,+,\,-,\,+,\,-\]

    Correct Answer: D

    Solution :

               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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