`X` and `Y` are large, parallel conducting plates close to each other. Each face has an area `A`. `X` is given a charge `Q`. `Y` is without any charge. Points `A,B` and `C` are as shown in the figure.

Options

A. The field at `B` is `Q/(2epsilon_A)`
B. The field at `B` is `Q/(epsilon_0A)`
C. The fiels at `A,B` and `C` are of the same magnitude
D. The fieds at `A` and `C` are of the same magnitude, but in opposite directions

Answer

A, C, D

Explanation

`q_1=q_4=(q_("total")/2=Q/2`
`q_2=Q-q_1=Q/2`
`q_3=-q_2=(-Q/2)`
`E_A=E_1+E_4`(towards left)
`=Q/(4Aepsilon_0)+Q/(4Aepsilon_0)=Q/(2Aepsilon_0)`
`E_C=-E_A`(towards right)
`=(Q)/(2Aepsilon_(0))`
`E_B=E_2+E_3` (towards right)
`=Q/(4Aepsilon_0)+Q/(4Aepsilon_0)=Q/(2Aepsilon_0)`