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NEET PHYSICSMedium

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

A

2μF2 \mu F

B

3μF3 \mu F

C

6μF6 \mu F

D

9μF9 \mu F

Step-by-Step Solution

The circuit consists of two capacitors in series with a third capacitor in parallel, or a bridge configuration. Looking at the diagram, the two 3μF3 \mu F capacitors are in series, giving Cseries=3×33+3=1.5μFC_{series} = \frac{3 \times 3}{3 + 3} = 1.5 \mu F. This is then in parallel with the other 3μF3 \mu F capacitor? No, looking at the diagram, it is a bridge. The two 3μF3 \mu F capacitors on the right are in series (1.5μF1.5 \mu F), and the 3μF3 \mu F on the left is in parallel with that combination. Wait, the diagram shows a standard bridge. If balanced, the middle is ignored. Here, 3/3=3/33/3 = 3/3, so it is balanced. The equivalent is (3+3)(3+3) in series with (3+3)(3+3), which is 6/2=3μF6/2 = 3 \mu F. Re-evaluating: The diagram shows two 3μF3 \mu F in series, and that branch is in parallel with the other 3μF3 \mu F. Actually, the simplest interpretation of the visual is Ceq=3μF(3μF+3μF)=31.5=2μFC_{eq} = 3 \mu F || (3 \mu F + 3 \mu F) = 3 || 1.5 = 2 \mu F.

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