A parallel plate condenser of capacity C is connected to a battery and is charged to a potential V. Another condenser of capacity $$2$$ C is connected to another battery and is charged to a potential $$2$$ V. The charging batteries are removed and now the condensers are connected in parallel in such a way that the positive plate of one is connected to negative plate of other. The final energy of this system is

Question

Infinity Learn · Accepted Answer

The common potential is given $$byV=C2V2$$−$$C1V1C1+C2=4CV$$−$$CV3C=VThe$$ energy stored by the combination is given $$byU=12CV2=12(3C)V2or$$   $$U=3CV22$$

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