Two uncharged and parallel conducting sheets, each of area A are placed in a uniform electric field E at finite distance from each other, such that electric field is perpendicular to sheets and convers all the sheets. Find out charges appearing on its two surfaces.

Explanation

Plates are conducting so net electric field inside these plates should be zero. So, electric field due to induced charges (on the surface of the plate) balance the outside electric field.

Here `vec(E)_(1)` = induced electric field
for both phase `vec(E)_(i) + vec(E) = 0`
`rArr vec(E)_(i) = -vec(E)` .........(A)
Let charge induced on surfaces are +Q and -Q then
`|vec(E)_(i)| = (Q)/(A epsilon_(0))`
by equation (A)
`(Q)/(A epsilon_(0)) = E rArr Q = A E epsilon_(0)`