Question

Three capacitors each of $6\mu F$ are connected together in series and then connected in series with the parallel combination of three capacitors of $2\mu F,4\mu F$ and $2\mu F$. The total combined capacity is:

• A. $2\mu F$
• B. $10\mu F$
• C. $12\mu F$
• D. $1.6\mu F$

Answer 1

Answer: (D)

$1.6\mu F$

effective capacitor of $6\mu F$ in series
$\frac{1}{C_{eff}}=\frac{1}{6}+\frac{1}{6}+\frac{1}{6}$
$C_{eff}=2\mu F$
effective capacitor of parallel capacitor
$C_{eff}=C_1+C_2+C_3$
$C_{eff}=2+4+2$
$C_{eff}=8\mu F$
$\frac{1}{C_{eff}}=\frac{1}{2\mu F}+\frac{1}{8\mu F}$
$\Rightarrow C_{eff}=1.6\mu F$