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Q.

A capacitor C is connected to a battery circuit having two switches S1 and S2 and resistors R1 and R2. The capacitor will be fully charged when

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a

both S1 and S2 are closed

b

S1 is closed and S2 is open

c

S1 is open and S2 is closed

d

any one of the above

answer is B.

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Detailed Solution

When both are open no charge will pass through the capacitor.

When S1 is open and S2 is closed capacitor is not connected to the battery so not charge will flow.

When both S1 and S2 are closed, the potential drop across the capacitor will be ER2R1+R2 where E is the EMF of cell.

When S1 is closed and S2 is open, the potential drop only occurs across the capacitor so the potential drop across the plates of the capacitor will be E.

The capacitor will be fully charged when S1 is closed and S2 is open.

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