Q.

Infinite number of identical capacitors each of capacitance 1 μF are connected as shown in figure. Find the equivalent capacitance (in μF) of system between the terminals A and B shown in figure.

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Detailed Solution

The equivalent system of capacitors is reduced as shown in figure below. The equivalent capacitance, across A and B is given asCeq=C+C2+C4+C8+⋯⇒Ceq=C11−12=2C=2μF
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