First slide
Capacitance
Question

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

Moderate
Solution

The common potential is given by
V=C2V2C1V1C1+C2=4CVCV3C=V
The energy stored by the combination is given by
U=12CV2=12(3C)V2
or   U=3CV22
 

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