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Q.

Two point charges +Q and +4Q are kept at a separation l. A third negative point charge is kept at point such that the system of three charges is in equilibrium. Then the third charge is

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a

−2Q9

b

−2Q3

c

−4Q9

d

−Q3

answer is C.

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Detailed Solution

Considering equilibrium of the third charge -2, KQqx2=K4Qq(l−x)2⇒l−x=2x⇒x=l3Considering equilibrium of the charge +Q1KQqx2=KQ.4Ql2⇒q=4Q.(xl)2=4Q9∴ The third charge is −4Q9
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