Question

Three capacitors of $3\mu F,2\mu F$ and $6\mu F$ are connected in series. When a battery of 10V is connected to this combination then charge on $3\mu F$capacitor will be :

• A. $5\mu C$
• B. $10\mu C$
• C. $15\mu C$
• D. $20\mu C$

Answer 1

The correct option is B $10\mu C$

$q=CV\frac{1}{C_{eff}}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}$
$\frac{1}{C_{ef}}=\frac{1}{3}+\frac{1}{2}+\frac{1}{6}$
$\therefore C_{ef}=1\mu F$
$\therefore q=C_{ef}V=10\mu C$
q is same for all capacitors
$\therefore$ q on any capacitor is $10\mu C$