Question

Three capacitors of capacitance $3\, \mu F ,\, 10\, \mu F$ and $15\, \mu F$ are connected in series to a voltage source of $100\, V$. The charge on $15\, \mu F$ is

• A. $50\, \mu C$
• B. $100\, \mu C$
• C. $200\, \mu C$
• D. $280\, \mu C$

Answer 1

Answer: (C)

$\frac{1}{C_{e q}}=\frac{1}{3}+\frac{1}{10}+\frac{1}{15}$
$\Rightarrow C_{e q}=2\, \mu F$
Charge on each capacitor
$Q=C_{e q} \times V \Rightarrow Q$
$=2 \times 100=200\, \mu C$