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An infinite ladder is constructed by connecting several resistances of 2 μF, 4 μF capacitor combinations as shown in the figure. It is terminated by a capacitor of capacitance C. What value should be chosen for C, such that the equivalent capacitance of the ladder between the point A and B becomes independent of the number of sections in between?
1255227_501c52962e724ce7befff382bf0c5979.png
  1. 18 μF
  2. 6 μF
  3. 2 μF
  4. 4 μF

A
4 μF
B
6 μF
C
2 μF
D
18 μF
Solution
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An infinite ladder is constructed by connecting several resistances of 2 μF, 4 μF capacitor combinations as shown in the figure. It is terminated by a capacitor of capacitance C. What value should be chosen for C, such that the equivalent capacitance of the ladder between the point A and B becomes independent of the number of sections in between?
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Figure
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