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Question

Identical dielectric slabs are inserted into two identical capacitor A and B. These capacitor and a battery are connected as shown in the figure. Now, the the slab of capacitor B is pulled out with battery renaming connected.
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A
During the process the charge flows from b to a
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B
Final charges on B will be more then on A
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C
During the process a work is done by the external force F
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D
During the process the internal energy of the battery decreases
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Solution

The correct option is C During the process a work is done by the external force F
As the capacitors are connected to the battery, total potential difference between the capacitors will remain same. Thus there is no change of internal energy of battery during the charging process. As A is connect to the positive end of battery so the charge will flow from A to B to maintain constant potential. As the capacitors are in series so the final charge on A and B are equal and it is equal to the equivalent charge. As the charge is flowing so a work is done by the external force F.

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