Two identiacal capacitors are charged to different potentials and then they are connected to each other in such a way such that the sum of charges of plates having positive polarity remains constant. Mark the correct statement.

(a) Sum of charges of plates having negative polarity remains constant.

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Mean of individual final potentials is different from mean of individual initial potentials.

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Total energy stored two capacitors in final state may be equal to that in initial state.

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Heat dissipation in the circuit can be zero.

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Solution

The correct option is A
(a) Sum of charges of plates having negative polarity remains constant.

As the charge of isolated system remains conserved, so the sum of charges of plates having negative polarity remains constant. As potential of two capacitors are different so some charge flows into the circuit till both acquire the same potential. Let final common potential be V, then

$V = \frac{c_{1} v_{1} + c_{2} v_{2}}{c_{1} + c_{1}} = \frac{v_{1} + v_{2}}{2} [a s C_{1} = C_{2} = C]$

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