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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 C and D is independent of $Q_{1}$

Potential difference between plates C and D is independent of $Q_{2}$

Potential difference between plates A and B is independent of $Q_{2}$

Potential difference between plates, A and B is independent of $Q_{1}$

answer is A, B.

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Detailed Solution

$x a + x b + (Q_{2} + x) c = 0$

$x = \frac{- Q_{2} C}{a + b + c}$

$Q_{1} = y + x + y = Q_{2} - x$

$y = \frac{Q_{1} + Q_{2}}{2}$

$V = \frac{Q_{2} c a}{(a + b + c) S ε_{0}}$

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