Eight capacitors each of capacity $2 \mu \mathrm{~F}$ are arranged as shown in figure. The effective…
Eight capacitors each of capacity $2 \mu \mathrm{~F}$ are arranged as shown in figure. The effective capacitance between $A$ and $B$ is
$10 \mu \mathrm{~F}$
$12 \mu \mathrm{~F}$
$16 \mu \mathrm{~F}$
$4 \mu \mathrm{~F}$
Solution
The effective capacitance between A and B is
$\begin{aligned}
& \mathrm{C}_{\mathrm{AB}}=\frac{\mathrm{C}}{2}+2 \mathrm{C}+2 \mathrm{C}+\frac{\mathrm{C}}{2}=5 \mathrm{C} \\
& =5 \times 2=10 \mu \mathrm{~F}
\end{aligned}$
