Ten capacitors each of 2 μF capacity were arranged in two rows such that first row contains 6 capacitors in series where as the rest were in second row. The equivalent capacitance of the network is: |
$\frac{5}{6}μF$ $20μF$ $\frac{24}{5}μF$ $\frac{6}{5}μF$ |
$\frac{5}{6}μF$ |
The correct answer is Option (1) → $\frac{5}{6}μF$ $C_{eq}$, Net capacitance when 6 capacitors are connected in series = $\frac{1}{\left(\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}\right)}$ $=\frac{6}{2}=\frac{1}{3}μF$ $C_{eq}'$, Net capacitance when 4 capacitors of 2μF are connected in series = $\frac{1}{\left(\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}\right)}$ $C_{resistant}$, when both $C_{eq}$ and $C_{eq}'$ are = $\frac{1}{2}+\frac{1}{3}=\frac{5}{6}μF$ |