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In the given arrangement the charges given to the metal plates A, B and D are Q₀, Q₀, 2Q₀and C is the neutral plate (‘d’ is very small when compared to plate area dimensions)
All the switches are closed simultaneously then the amount of charges passing through switch S₁ is

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$\frac{Q_{0}}{3}$

$\frac{2 Q_{0}}{3}$

$\frac{3 Q_{0}}{2}$

answer is C.

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Detailed Solution

Apply the potential drop concept and then calculate charge distribution.

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