Question

The circuit shown in Figure is in steady state. Find the charges on the capacitors $C_1$ and $C_2$ respectively :

• A. $3\mu C,12\mu C$
• B. $4\mu C,9\mu C$
• C. $2\mu C,12\mu C$
• D. $3\mu C,0$

Answer 1

The correct option is A $3\mu C,12\mu C$

In steady state, current will flow as shown in Figure,
$I=6/(10+10)=0.30A$
Potential difference across $C_1$ is same as that across $10\Omega$ on left side. So
$V_1=10I=3V$
Charge on $C_1$ is $q_1=C_1{V}_1=1\times 3=3\mu C$
We can see that potential difference across $C_2$ is 6 V. So charge on $C_2$ is $q_2=C_2{V}_2=2\times 6=12\mu C$.