Question

Three capacitors 4, 6 and 12 $\mu F$ are connected in series to a 10 V source. The charge on the middle capacitor is

• A. 10 $\mu C$
• B. 20 $\mu C$
• C. 60 $\mu C$
• D. 5 $\mu C$

Answer 1

Answer: (B)

20 $\mu C$

$\begin{array}{c}\frac{1}{C_{eq}}=\frac{1}{4}+\frac{1}{6}+\frac{1}{12}\\ =\frac{3+2+1}{12}\\ \Rightarrow C_{eq}=2\mu F\\ Q=2\mu F\times 10\\ =20\mu C.\end{array}$

Hence,

option $\left(B\right)$ is correct answer.