Question

In the above figure, the charge flown through the battery of EMF $V$, on closing the key $k$ is equal to :

• A. $\frac{CV}{4}$
• B. $4CV$
• C. $\frac{4}{3}CV$
• D. $\frac{3}{4}CV$

Answer 1

The correct option is A $\frac{CV}{4}$

When the switch is not closed,
$C_{net}=(C\times 3C)/(C+3C)=3C/4$
Charge provided by battery $=3CV/4$
When the switch is closed, $C_{net}=C$
Charge provided by battery $=CV$
Extra charge passed through battery $=CV/4$