A finite ladder is constructed by connecting several sections of $2\,\mu F,\;4\,\mu F$ capacitor combinations as shown in the figure. It is terminated by a capacitor of capacitance $C$. What value should be chosen for $C$ such that the equivalent capacitance of the ladder between the points $A$ and $B$ becomes independent of the number of sections in between......$\mu F$
Medium
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