In the arrangement shown, all plates have equal area. The amount of spacing between the plates is mentioned. Find the charge on the plate $X$ if battery is connected to plate $A$ and $B$

For the following circuit, find the current in wire $AB$, if $A$ is at $9 \mathrm{V}$, $D$ at $5 \mathrm{V}$ and $C$ at $7 \mathrm{V}.$

Electric field is given by $\overrightarrow{E}=\left(8\hat{\mathrm{i}}+4\hat{\mathrm{j}}+3\hat{\mathrm{k}}\right) \mathrm{N} {\mathrm{C}}^{-1}$. Electric flux through surfaces of area $100 {\mathrm{m}}^2$ layer in $X\mathit{-}Y$ plane, $Y-Z$ plane and $X-Z$ plane are in ratio