ResistorArray (version 1.0-7)

ladder: Jacob's ladder of resistors

Description

Resistor network. Consider node 1 to be Earth. Nodes $2\ldots n$ are each connected to node 1 by a resistor. For $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

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