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Three non-conducting infinite planar she...

Three non-conducting infinite planar sheets are parallel to the y-z plane. Each sheet has an unifomi surface charge density. The first sheet, with a negative surface charge density `sigma,` passes through the x-axis at x = Im. The second sheet has an unknown surface charge density and passes through the x- axis at x = `2`m. The third sheet has a negative surface charge density-`3`cr and passes through the x-axis atx = `4`m. The net electric field due to the sheets is zero at x = `1.5`m. Which of the following is/are correct :

A

The surface charge density on the second sheet is `+2sigma`

B

The electric field at x=-`2` m is `(sigma)/(epsi)hati`

C

The electric field atx = 3m is `(sigma)/(epsi)hati`

D

The electric fieldatx =`6`m is `(-sigma)/(epsi)hati`

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