Equivalent capacitance for infinite ladder

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

1 reply · 6K views · last reply Aug 27, 2014

anand raj

Thread starter
Aug 27, 2014

Homework Statement

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

Circuit schematic of an infinite ladder of capacitors, each labelled C: series capacitors along the top rail from terminal A and shunt capacitors from each node to the bottom rail B, continuing to the right with dashed lines.

The Attempt at a Solution

Circuit schematic of an infinite capacitor ladder reduced to an equivalent capacitance: a capacitor labelled c in series along the top wire, a capacitor labelled c in shunt, and a capacitor labelled Ceq on the right, with an arrow labelled Ceq pointing to it.

Discussion

ehild

Science Advisor

Homework Helper

Aug 27, 2014

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