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AP EAMCET · PHYSICS · Capacitance

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. A \(\frac{2 \mathrm{~d}\left(\mathrm{Q}_1-\mathrm{Q}_2\right)}{\epsilon_0 \mathrm{~A}}\)
  2. B \(\frac{\mathrm{d}\left(\mathrm{Q}_1-\mathrm{Q}_2\right)}{2 \epsilon_0 \mathrm{~A}}\)
  3. C \(\frac{4 \mathrm{~d}\left(\mathrm{Q}_1-\mathrm{Q}_2\right)}{\epsilon_0 \mathrm{~A}}\)
  4. D \(\frac{\mathrm{d}\left(\mathrm{Q}_1-\mathrm{Q}_2\right)}{4 \epsilon_0 \mathrm{~A}}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{\mathrm{d}\left(\mathrm{Q}_1-\mathrm{Q}_2\right)}{2 \epsilon_0 \mathrm{~A}}\)

Step-by-step Solution

Detailed explanation

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