Five identical conducting plates, each of face area $\mathrm{A}$ are placed parallel to each other with a…

Five identical conducting plates, each of face area $\mathrm{A}$ are placed parallel to each other with a separation of ' $d$ ' between two adjacent plates as shown in the figure. The plates $\mathrm{M}$ and $\mathrm{N}$ are given charges $Q_1$ and $Q_2$ respectively and the remaining plates are neutral. If the outermost plates are grounded, the potential difference between the plates $\mathrm{M}$ and $\mathrm{N}$ is ____

1. $\frac{2 \mathrm{~d}\left(\mathrm{Q}_1-\mathrm{Q}_2\right)}{\epsilon_0 \mathrm{~A}}$
2. $\frac{\mathrm{d}\left(\mathrm{Q}_1-\mathrm{Q}_2\right)}{2 \epsilon_0 \mathrm{~A}}$
3. $\frac{4 \mathrm{~d}\left(\mathrm{Q}_1-\mathrm{Q}_2\right)}{\epsilon_0 \mathrm{~A}}$
4. $\frac{\mathrm{d}\left(\mathrm{Q}_1-\mathrm{Q}_2\right)}{4 \epsilon_0 \mathrm{~A}}$

Solution

Asked in: AP EAMCET 2017 (24 Apr Shift 1)

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