Practicing Success
The effective capacitance between point A and B of the combination of capacitors in an infinite ladder network given below is |
2C C $\frac{C}{2}$ 3C |
2C |
$\text{Let equivalent capacitance of the combination is }C_{eq}$ $ \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$
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