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Q.

12 capacitors are connected with a battery of potential difference V₀as shown in the figure. Initially switch is open. Find total heat $(in μJ)$ generated in the system after the switch is closed.
$(Given C = \frac{1}{340} μF, V_{0} = 17 volt)$

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answer is 2.1.

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Detailed Solution

P & Q and R & S are equipotential
$C_{AB} = \frac{2 (6 C) (4 C) + (6 C) (12 C) + (4 C) (12 C)}{6 C + 4 C + 2 (12 C)} = \frac{84}{17} C$

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$Heat generated = \frac{1}{2} (C_{AB}) V_{0}^{2} = 2.10 μJ$

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12 capacitors are connected with a battery of potential difference V0 as shown in the figure. Initially switch is open. Find total heat (in μJ) generated in the system after the switch is closed. (Given C=1340μF,V0=17 volt)