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# The plates S and T of an uncharged parallel plate capacitor are connected across a battery. The battery is then disconnected and the charged plates are now connected in a system as shown in the figure. The system shown is in equilibrium. All the strings are insulating and massless. The magnitude of charge on one of the capacitor plates is [Area of plates = A]:√2mgA∈0√mgA∈0√2mgA∈0k√4mgA∈0k

A
2mgA0
B
4mgA0k
C
mgA0
D
2mgA0k
Solution
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#### Force on metal plate S due to electrostatic force by plate T is Q22AϵoForce exerted on plate S by spring is mgIn equilibrium Q22Aϵo=mgorQ=√2mgAϵo

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