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In the arrangement of capacitors shown in the figure, if each capacitor is 9 pF, then the effective capacitance between the points A and B is (in pF)

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answer is 15.

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Detailed Solution

capacitor in parallel $C_{3} + C_{1} = 18 p f = C^{'}$ and in series

$\frac{1}{C} = \frac{1}{C^{'}} + \frac{1}{C_{2}}$

$\frac{1}{18} + \frac{1}{9} = \frac{1}{6}$

$C^{'} = 6 p f$

so equivalent $= (9 + 6) p f = 15 p f$

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