$X $ and $Y$ are large, parallel conducting plates closed 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 figure.
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$q_{1}=q_{4}=\left(\frac{q_{\text {total }}}{2}=\frac{Q}{2}\right.$
$q_{2}=Q-q_{1}=\frac{Q}{2}$
$q_{3}=-q_{2}=\left(-\frac{Q}{2}\right)$
$E_{A}=E_{1}+E_{4}(\text { towards left })$
$=\frac{Q}{4 A \varepsilon_{0}}+\frac{Q}{4 A \varepsilon_{0}}=\frac{Q}{2 A \varepsilon_{0}}$
$E_{C}=-E_{A}(\text { towards right })$
$=\frac{Q}{2 A \varepsilon_{0}}$
$E_{B}=E_{2}+E_{3}(\text { towards right })$
$=\frac{Q}{4 A \varepsilon_{0}}+\frac{Q}{4 A \varepsilon_{0}}=\frac{Q}{2 A \varepsilon_{0}}$
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