Question

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

• A. $22\mu C$
• B. $100\mu C$
• C. $2800\mu C$
• D. $200\mu C$

Answer 1

The correct option is D $200\mu C$

$\frac{1}{C_{ef}}=\frac{1}{3}+\frac{1}{10}+\frac{1}{15}$
$\frac{1}{C_{ef}}=\frac{1}{3}+\frac{5}{30}=\frac{3}{6}$
$\therefore C_{eff}=2$
$\therefore$ Charge of $C_{eff}$ is $q=C_{eff}\times V$
$q=\left(2\right)\left(100\right)$
$q=200\mu C$
In series all the capacitors have same charge
$\therefore chargeon15\mu Fis200\mu C$