ladder {ResistorArray}R Documentation

Jacob's ladder of resistors

Description

Resistor network. Consider node 1 to be Earth. Nodes 2...n are each connected to node 1 by a resistor. For 1<i<n, node i is connected to node i+1.

Usage

ladder(n, x = 1, y = 1, z = NULL)

Arguments

n Number of nodes
x Resistance of “vertical” resistors. Standard recycling rules are used.
y Resistance of “horizontal” resistors. Standard recycling rules are used.
z Resistance of all resistors in the network. If supplied, x and y are discarded.

Value

Returns a standard conductance matrix

Author(s)

Robin K. S. Hankin

See Also

cube, series

Examples


##Resistance of an infinite Jacob's ladder known to be (sqrt(5)-1)/2:

 phi <- (sqrt(5)-1)/2
 resistance(ladder(20),1,2) - phi
 resistance(ladder(60),1,2) - phi

 Wu(ladder(20))[1,2]-phi


[Package ResistorArray version 1.0-5 Index]