The effective capacitance between point A and B of the combination of capacitors in an infinite ladder network given below is
Answer & explanation
Correct answer: option 1
$\text{Let equivalent capacitance of the combination is }C_{eq}$
$ \frac{2C.C_{eq}}{2C + C_{eq}} + C = C_{eq}$
$ 3C.C_{eq} + 2C^2 = 2C C_{eq}+C_{eq}^2$
$ C_{eq}^2 - C.C_{eq} - 2C^2 = 0$
$ C_{eq} = 2C$