Question

Seven capacitors each of capacitance $2\mu F$ are connected in a configuration to obtain an effective capacitance $\frac{10}{11}\mu F$. Which of the following combination will achieve the desired result?

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Two capacitors are conected in series,
$C=\frac{C_1{C}_2}{C_1+C_2}=\frac{4}{2+2}=1\mu F$
Five capacitors are connected in parallel, so $C_p=5\left(2\right)=10\mu F$
Effective capacitance is
$\therefore C_{net}=\frac{\left(10\right)\left(1\right)}{10+1}=\frac{10}{11}\mu F$
hence (a) is correct.