Electrostatics 1 Question 8

8. 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?

(2004, 1M)

(a),,,,,+-+–+

(b),,,,,+-+-+-

(c),,,,,++-+–

(d),,,,,-++-+-

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Answer:

Correct Answer: 8. (d)

Solution:

  1. According to option (d) 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. Hence, the correct option is (d).

(P) Component of forces along x-axis will vanish. Net force along positive y-axis

(Q) Component of forces along y-axis will vanish. Net force along positive x-axis

(R) Component of forces along x-axis will vanish. Net force along negative y-axis

(S) Component of forces along y-axis will vanish. Net force along negative x-axis



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