Two condensers, one of capacity C and the other of capacity C2 , are connected to a V-volt battery, as shown- The work done in charging fully both the condensers is:
12CV2
2CV2
14CV2
34CV2
A
12CV2
B
14CV2
C
34CV2
D
2CV2
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Solution
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As the capacitors are connected in parallel, therefore potential difference across both the condensors remains the same. ∴q1=CV,q2=C2V Also q=q1+q2=CV+C2V=32CV Work done in charging fully both the condensors is given by W=12qV=12×(32CV)V=34CV2
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