Question

In the circuit shown in Figure charge on $1\mu F$ and $3\mu F$ capacitors respectively is :

• A. $7\mu C,3\mu C$
• B. $3\mu C,3\mu C$
• C. $7\mu C,21\mu C$
• D. $3\mu C,21\mu C$

Answer 1

The correct option is D $3\mu C,21\mu C$

$I=\frac{V}{R}$

$i_1=\frac{9}{3+6}=1A$

$i_2=\frac{9}{2+7}=1A$

Potential difference at $3\Omega$

$=$ Potential difference at $1\mu F$

$1\times 3=3V$

Charges at $1\mu F=CV=1\times 3=3\mu C$

Similarly

Potential difference at $3\mu F$=Potential difference at $7\Omega$ $=i_2\times 7=1\times 7=7V$

Charge at $3\mu F$$=CV=3\times 7=21\mu C$