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Q.

Three charges 4q, Q and q are in a straight line in the position of 0, l/2 and l respectively. The resultant force on q will be zero, if Q =

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a

– q

b

– 2q

c

– q2

d

4q

answer is A.

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Detailed Solution

The force between 4q and q; F1=14πε0⋅4q×ql2The force between Q and q; F2=14πε0⋅Q×q(l/2)2We want F1+F2=0 or 4q2l2=−4Qql2⇒Q=−q
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