The effective capacitance between A and B of an infinite chain of capacitors joined as shown in the figure -

Question

The effective capacitance between A and B of an infinite chain of capacitors joined as shown in the figure -, 3 - 1 μ F, 5 - 1 2 μ F, 5 - 1 μ F, 1 μ F

MARKS App · Accepted Answer

C e q = C ( C + C e q ) C + C + C e q = C 2 + C C e q = 2 C C e q + C e q 2 C e q 2 + C C e q - C 2 = 0 ⇒ C e q = - C ± C 2 + 4 C 2 2 = 5 – 1 2 C

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