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Three identical metallic plates are kept...

Three identical metallic plates are kept parallel to one another at separations a and b. The outer plates are connected to the ground and the middle plate is given charge Q. Then, the charge on the right side of middle plate is

A

`Q//2`

B

`-(Qb)/(a+b)`

C

`(Qb)/(a+b)`

D

`(Qa)/(a+b)`

Text Solution

Verified by Experts

The correct Answer is:
D

`V=(Q_(1))/(C_(1))=(Q_(2))/(C_(2))`
`Q_(1)+Q_(2)=Q`
where `C_(1)=epsilon_(0)A//a` and
`C_(2)=epsilon_(0)A//b`. Solve to find
`Q_(2)=(Qa)/(a+b)`
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