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Grade 12Electrostatics

Find the value of q so that the system is in equilibrium.O is the mid point.Answer needed asap.

Question image for Find the value of q so that the system is in equil
Profile image of Adrija Banerjee
8 Years agoGrade 12
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3 Answers

Profile image of Adarsh
8 Years ago
The value of q will be -4Q so that the system is in equilibrium.
Profile image of Adarsh
8 Years ago
sorry it was typed mistakenly the value of q will be -Q/4.thanks and regards adarsh
Profile image of Khimraj
ApprovedApproved Tutor Answer8 Years ago
System will be in equilibrium if net force on each charge particle is zero.
Let the distance betwwen AB = r then AO =BO = r/2.
Force on q is zero as it is at mid point of AB
For equilibrium force on Q must be zero
So FQ = FQq + FQQ
FQ = kQq/(r/2)2 + kQQ/r2 = 0
So 4q + Q =0
then q = -Q/4.
Hope it clears. If you like answer then please approve it.

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