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Question

Given circuit is in steady state. Potential energy stored in the capacitors is U. Now switch S is closed. Heat produced after closing the switch S is H. Find UH.
1019464_494311606f4e44e4b6d06161f5081d6f.PNG

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Solution

Initially capacitance of the circuit is C1=C2 since two capacitors are in series.

U=C1V22=CV24

When switch is closed-

Equivalent capacitance is C2=2C×C2C+C=2C3
As two capacitors in parallel are connected to a capacitor in series.

U=122CV23=CV23

Heat, H=UU=CV212

UH=3

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