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Q.

Three charged particles A,B and C with charges – 4q, 2q and -2q are present on the circumference of a circle of radius d. The charged particles A,C and centre O of the circle formed an equilateral triangle as shown in figure, Electric field at O along x-direction is:

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a

23qπε0d2

b

3qπε0d2

c

33q4πε0d2

d

3q4πε0d2

answer is B.

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Detailed Solution

Electric field due to B and C is along OC   and​Electric field due to A is along OAAs per figure, the net horizontal component of electric field is​Enet=4kqd2×2cos300=q3πε0d2
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