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The plates S and T of a uncharged parall...

The plates `S` and `T` of a 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`]

A

`sqrt(2mg A in_(0))`

B

`sqrt((4mgA in_(0))/(k))`

C

`sqrt(mgA in_(0))`

D

`sqrt((2mgA in_(0))/(k))`

Text Solution

Verified by Experts

The correct Answer is:
A
`mg =` (electrostatic pressure) `A`
`mg = (sigma^(2))/(2 in_(0))A rArr mg = (Q^(2))/(2 in_(A))`
`Q = sqrt(2mg in_(0)A)`
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