Each of the capacitors shown in the figure has a capacitance of \( 3\,\mu\mathrm{F} \). The equivalent capacitance of the assembly between the points A and B is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \( 3\,\mu\mathrm{F} \)
The figure has three rows between A and B, and each row has three capacitors in series. The three rows are in parallel.
For \( n \) identical capacitors in series, \( C_{\mathrm{series}} = C/n \):
\( \displaystyle C_{\mathrm{row}} = \frac{3\,\mu\mathrm{F}}{3} = 1\,\mu\mathrm{F} \)
Capacitances in parallel add:
\( \displaystyle C_{AB} = 1 + 1 + 1 = 3\,\mu\mathrm{F} \)