A, B and C are three large, parallel conducting plates, placed horizontally. A and C are rigidly fixed and earthed. B is given some charge. Under electrostatic and gravitational forces, B may be
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a
in equilibrium midway between A and C
b
in equilibrium if it is closer to A than to C
c
in equilibrium if it is closer to C than to A
d
B can never be in equilibrium
answer is B.
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Detailed Solution
A and C are at zero potential.∴ Potential differences VBA=VBCPlate B will be in equilibrium only if FA=mg+FC(FA and FC respectively are the forces of attraction on plate B by plate A and C )This means FA>FC . This is possible only if electric field E=Vd in the gap AB is more than that of the electric field in the gap BC .∵VBA=VBC∴dBA