A uncharged capacitor $C$ is connected to a battery with potential $V$. It becomes fully charged and has a charge $Q=CV$ stored on it.
Now the polarity of the battery is reversed. The capacitor will have the charge $Q$ still but with polarity reversed too.
My question is: What is the work done by the the battery?
According to me, during 1st charging it will do a work of $QV$. The energy of the capacitor is also not changing, then what is the work done to change its polarity?
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