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The figure shows a network of capacitance consisting of several repetitive units shown by doted square and a capacitor capacitance C_(1) connected as end as shown in the figure. Find the value of C_(1) such that the equivalent capacitance between A and B is independent of the number of units. |
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Answer» Solution :The equivalent CAPACITANCE between `A` and `B` will be INDEPENDENT of number of units if addition of one or more units to `C_(1)` does not change its value. The situation is shown in figure. The equivalent between `A'` and `B'` is still `C_(1)`. `(C_(1)xx2C)/(C_(1)+2C)+C=C_(1)` `RARR C_(1)=(C+-3C)/(2)` `:. C_(1)=2C`. 
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