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Find the total work done by the battery ...

Find the total work done by the battery in the given circuit.

Text Solution

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Capacitors marked 2 and 3 as well as 4, 5 and 6 are connected in parallel. Now we can use series combination to get equivalent capacitance of this circuit.
`(1)/(C_(eq))=(1)/(C )+(1)/(2C)+(1)/(3C)rArr C_(eq)=(6C)/(11)`
Hence, total charge supplied by the battery `Q=C_(eq)V`
`rArr Q=(6C)/(11)V`
Work done by the battery `W_(b)=QV rArr W_(b)=(6)/(11)CV^(2)`
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