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For the circuit shown, which of the following statements is true

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With S₁ closed, $V_{1} = 15 V, V_{2} = 20 V$

With S₃ closed, $V_{1} = V_{2} = 25 V$

With S₁and S₂closed, $V_{1} = V_{2} = 0$

With S₁ and S₃ closed, $V_{1} = 30 V, V_{2} = 20 V$

answer is D.

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Detailed Solution

Charges on capacitors are

$Q_{1} = 30 \times 2 = 6 p C$

and $Q_{2} = 20 \times 3 = 60 p C or Q_{1} = Q_{2} = Q (say)$

The situation is similar as the two capacitors in series are first charged with a battery of emf 50 V and then disconnected

$∴$ when S₁ and S₃ are closed

$V_{1} = 30 V and V_{2} = 20 V$

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