Question

Seven capacitors, each of capacitance $2 \mu F$, are to be connected in a configuration to obtain an effective capacitance of $\left(\frac{6}{13}\right)\mu F$. Which of the combinations, shown in figures below, will achieve the desired value ?

• A.
• B.
• C.
• D.

Answer 1

Answer: (D)

Answer 2

$C_{eq} = \frac{6}{13} \mu F$ Therefore three capacitors most be in parallel to get $6$ in $\frac{1}{C_{eq}} = \frac{1}{3C} + \frac{1}{C} + \frac{1}{C}+\frac{1}{C} + \frac{1}{C}$ $C_{eq} = \frac{3C}{13} = \frac{6}{13} \mu F$