Figure shows an arrangement of four identical rectangular plates A, B, C, and D each of area S. Find the charges appearing on each face (from left to right) of the plates. Ignore the separation between the plates in comparison to the plate dimensions.

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Potential difference between plates A and B is independent of Q₁.

Potential difference between plates C and D is independent of Q₁.

Potential difference between plates A and B is independent of Q2.

Potential difference between plates C and D is independent of Q₂.

answer is A, B.

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Detailed Solution

$\begin{array}{c} xa + xb + (Q_{2} + x) c = 0 \\ x = \frac{- Q_{2} c}{a + b + c} \\ Q_{1} = y + x + y - Q_{2} - x \\ y = \frac{Q_{1} + Q_{2}}{2} \\ V = \frac{Q_{2} ca}{(a + b + c) {Sε}_{0}} \end{array}$

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