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Four parallel metal plates $P_{1}, P_{2}, P_{3}$ and $P_{4}$ , each of area $7.5 c m^{2}$ are separated successively by a distance $d = 1.19 m m$ as shown in Figure. $P_{1}$ is connected to the negative terminal of a battery and $P_{2}$ to the positive terminal. The battery maintains a potential difference of $12 V$ .
The charge on $P_{4}$ in $p C$ if all the switches as shown in the figure are connected .

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answer is 67.

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Detailed Solution

After connecting both the switches , all the three capacitors get connected in parallel .

Only the inner face of $P_{4}$ gets charged given by

$Q = C ∆ V = 5.58 \times 10^{- 12} F (12 V) = 67 p C$

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