Question

The connections shown in figure are established with the switch $S$ open. The charge which will flow through the switch if it is closed is

• A. $40\mu C$
• B. $30\mu C$
• C. $20\mu C$
• D. $12\mu C$

Answer 1

The correct option is D $12\mu C$

Charge will flow and path is decided by minimum capacitance.

Here are two paths;

i) $1\mu F-1\mu F$

ii) $2\mu F-2\mu F$

$C$ offered by path (i) $=0.5\mu F$

$C$ offered by path (ii) $=1\mu F$

$q=CV$ and $C=0.5\mu F$

$q=0.5\times 24=12\mu C$