Equivalent capacitance for infinite ladder

Thread starter anand raj
Start date Aug 27, 2014
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Capacitance Equivalent Infinite

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SUMMARY

The discussion focuses on calculating the equivalent capacitance (Ceq) across points A and B of an infinite ladder network. The solution involves denoting the effective capacitance on the right as X and recognizing that X and C are in series, while C is in parallel with the combination of X and C. This approach leads to a systematic method for determining Ceq in complex capacitor arrangements.

PREREQUISITES

Understanding of series and parallel capacitor configurations
Familiarity with the concept of infinite series in electrical circuits
Basic knowledge of capacitance and its units
Ability to manipulate algebraic equations for circuit analysis

NEXT STEPS

Study the derivation of equivalent capacitance in series and parallel circuits
Explore the concept of infinite series in electrical engineering
Learn about advanced circuit analysis techniques, such as mesh and nodal analysis
Investigate practical applications of ladder networks in filter design

USEFUL FOR

Electrical engineering students, circuit designers, and anyone interested in advanced capacitor network analysis.

Aug 27, 2014

anand raj

Homework Statement

the effective capacitance across AB of the infinite ladder shown in the figure

The Attempt at a Solution

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Aug 27, 2014

ehild

Science Advisor

Homework Helper

Welcome to PF!

Your attempt is correct so far. Denote Ceq on the right by X and determine the input capacitance Ceq: You have X and C connected in series, and C again, connected parallel with X and C.

ehild