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The equivalent capacitance of the system shown in the following circuit is

Asked in NEET 2023 · Series and parallel combinations

Figure: Series and parallel combinations

(1) 2 μF
(2) 3 μF
(3) 6 μF
(4) 9 μF

Answer: (1) 2 μF

Step-by-step solution

The two lower 3 μF capacitors are in parallel: 3+3=6 μF.

That 6 μF is in series with the first 3 μF: C=(3×6)/(3+6)=(18)/9=2 μF.

Why the other options are wrong

(2) No single slip gives 3 μF; a series combination is always smaller than its smallest member, here 3 μF.
(3) This is the parallel pair alone, 3+3; the first 3 μF capacitor is in series with it.
(4) Adds all three as if they were in parallel.

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