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## Homework Statement

When a charge Q is given to an isolated metal plate X of surface area A its surface charge density becomes σ .When an earthed metal plate Y is brought closed to X ,find magnitude of surface charged density on inner and outer surfaces of X and Y.

## Homework Equations

## The Attempt at a Solution

When charge Q is given to X it gets equally divided on the two surfaces of X i.e σ =Q/2A

If Y is not earthed then

When Y is brought close to X ,the charge induced on inner surface of Y will be equal and opposite to that of inner surface of X i.e -Q/2 and charge on outer surface of Y will be +Q/2 .

But Y is earthed in the given problem.Potential of Y will be zero .

I am not able to distribute charges .How earthing affects the distribution of charges ?

I would be thankful if some guidance is provided.