An infinite network of identical 1 μF capacitors is connected between A and B as shown. The equivalent capacitance is:
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An infinite network of identical 1 μF capacitors is connected between A and B as shown. The equivalent capacitance is:

G1 Physics · Accepted Answer

Each horizontal branch contains two identical capacitors in series, giving 1/2 μF per branch. The top direct branch contributes 1 μF, and the infinite ladder reduces by self-similarity to a finite value. Solving the self-consistency relation gives Cₑq = 2 μF. Correct answer: B.