Q.

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
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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