The equivalent capacitance of the system shown in the following circuit is [2023]

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Solution

Q.
The equivalent capacitance of the system shown in the following circuit is [2023]

1 6 $μ F$

2 9 $μ F$

3 2 $μ F$

4 3 $μ F$

Ans.
(3)

$C_{p} = 3 + 3 = 6$ $μ F;$ $C_{eq} = \frac{C_{p} \times 3}{3 + C_{p}} = \frac{3 \times 6}{6 + 3} = 2$ $μ F$

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