Find equivalent capacitance for a infinity ladder structure.

Question

Accepted Answer

Equivalent capacitance for an infinity ladder structure can be found using the concept of series and parallel capacitance.

An infinity ladder structure consists of an infinite number of identical capacitors connected in a ladder-like pattern.
The capacitance of each individual capacitor in the ladder is assumed to be C.
To find the equivalent capacitance, we can consider the structure as a combination of series and parallel capacitors.
The series capacitance of two capacitors is given by 1/Ceq = 1/C1 + 1/C2.
The parallel capacitance of two capacitors is given by Ceq = C1 + C2.
For an infinity ladder structure, the equivalent capacitance can be found by repeatedly applying the series and parallel capacitance formulas.
The equivalent capacitance will depend on the value of C and the pattern of the ladder structure.

Accepted Answer

Ceq =c (2 power n -1 )/n-1

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