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A capacitor with stored energy 4.0J is ...

A capacitor with stored energy `4.0J` is connected with an identical capacitor with no electric fileld in between . Find the total energy stored in the two capactors .

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On joining two capacitors, charge on each will be half of the previous charge on the first capacitor so energy stored o each capacitor will be one-fourth of energy stored in the previously in the first capacitor, that is 1J hence the net energy stored in both will be `1+1=2J`.
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