Four charges equal to – Q are placed at the four corners of a square and a charge q is at its centre. If the system is in equilibrium, the value of q is
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a
-Q4( 1+22 )
b
Q4( 1+22 )
c
-Q2( 1+22 )
d
Q2( 1+22 )
answer is B.
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Detailed Solution
Force on any corner chargeF1=kQa2, F2=kQ2a2, F3=kQ2(2a)2F1→+F2→+F3→=F→ at equilibriumQ22a2+2Q2a2=Qqa/22q=Q41+22