Question

The connection shown in figure are established with the switch $S$ open. Charge flow through the switch if it is closed is $1.2\times {10}^{-x}C$. Find the value of $x$.

Answer 1

When Switch is open:

Charge on each capacitor $=16\mu C$

When Switch is closed:

Charge on $1\mu F$ is $=24\mu C$

Charge on $2\mu F$ is $=12\mu C$

Total charge Re-distribution $=(8+4)\mu C$

Where $8\mu C$ is for $1\mu F$

$4\mu C$ is for $2\mu F$

Answer is 5