Figure shows a network of capacitors where the number indicates...

Figure shows a network of capacitors where the number indicates capacitances in micro Farad. The value of capacitance C if the equivalent capacitance between point A and B is to be $1\muF$ is :

Options

A $\dfrac{32}{23}\muF$
B $\dfrac{31}{23}\muF$
C $\dfrac{33}{23}\muF$
D $\dfrac{34}{23}\muF$

Correct answer

A. $\dfrac{32}{23}\muF$

Step-by-step solution

{C}_{eq}

of circuit

= \dfrac{32}{9}\text{\mu F} \left(excludingC\right)<br /><br />Now \dfrac{32}{9}\text{\mu F}

is in series with

C

so,

\dfrac{1}{{C}_{eq}} = \dfrac{1}{C} + \dfrac{9}{32} = 1

⇒ C = \dfrac{32}{23}\text{\mu F}

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