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