Explanation

(a) In given figure $C_{2}and\ C_{3}$ are in parallel,
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$\therefore\ \ \ \ \ \ \ \ \ \ \ C^{''} = C_{2} + C_{3} = 4\mu F$
As $C^{''}and\ C_{1}$are in series,
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{1}{C^{''''}} = \frac{1}{C^{''}} + \frac{1}{C_{1}} = \frac{1}{4} + \frac{1}{4}$
$\Rightarrow \ \ \ \ \ \ \ \ \ C^{''''} = \ 2\ \mu F$
Similarly, $C_{4}and\ C_{5}$ are in parallel
$\ \ \ \ \ \ \ \ \ \ \ \ \ C^{''''''} = \ 6 + 2 = 8\ \mu F$
$C^{''''''}and\ C_{6}$ are in series
$\ \ \ \ \ \ \ \ \ \ \ \ \ \frac{1}{C''''''} = \frac{1}{C''''''} + \frac{1}{C_{6}} = \frac{1}{8} + \frac{1}{8}$
$\Rightarrow \ \ \ \ \ \ \ \ C^{''''''} = \ = 4\ \mu F$
Now, $C^{''''''}\ and\ C''''$ are in parallel.
$\therefore\ \ \ \ \ \ \ \ \ \ \ \ C = 4\mu F + 2\mu F = 6\mu F$