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Question

Find the equivalent capacitance of the infinite ladder shown in figure (31-E17) between the points. A and B.


Solution

Let the equivalent capacitance be C, since it is an infinite series, So, there will be negligible change if the arrangement is done as in Figure.

From Figure

Ceq=1

        (2+C) C=3 C+2

        2C+C2=3C+2C

        C2C2=0

        (C2) (C+1)=0

        C=1  (impossible),

So,         C=2 MF


Physics
Concepts of Physics
Standard XII

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