1.

An infinite number of identical capacitors each of capacitance `1 muF` are connected `1 muF` are connected as shown in Fig. Then the equivalent capacitance between `A` and `B` is A. `1 muF`B. `2 muF`C. `(1)/(2) muF`D. `oo`

Answer» Correct Answer - B
In each row, Fig, the capacitance are in series, and different rows of capacitance are joined in parallel. Therefore, total capacity
`C = C + (C )/(2) + (C )/(4) + (C )/(8) + (C )/(16) + …… oo`
`= C [1 + (1 )/(2) + (1)/(4) + (1)/(8) + (1)/(16) + …… oo]`
`= C [(1)/(1-1//2)] = 2C = 2 muF`


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