# array.resistance: Resistance between two arbitrary points on a regular lattice... In RobinHankin/ResistorArray: Electrical Properties of Resistor Networks

## Description

Given two points on a regular lattice of electrical nodes joined by unit resistors (as created by `makefullmatrix()`), returns the resistance between the two points, or (optionally) the potentials of each lattice point when unit current is fed into the first node, and the second is earthed.

## Usage

 ```1 2``` ```array.resistance(x.offset, y.offset, rows.of.resistors, cols.of.resistors, give.pots = FALSE) ```

## Arguments

 `x.offset` Earthed node is at (0,0), second node is at `(x.offset, y.offset)` `y.offset` Earthed node is at (0,0), second node is at `(x.offset, y.offset)` `rows.of.resistors` Number of rows of resistors in the network (positive integer) `cols.of.resistors` Number of columns of resistors in the network (positive integer) `give.pots` Boolean, with `TRUE` meaning to return a matrix of potentials of the electrical nodes, and `FALSE` meaning to return the resistance between the origin and the current input node

## Details

Note that the electrical network is effectively toroidal.

## Author(s)

Robin K. S. Hankin

`makefullmatrix`

## Examples

 ```1 2 3 4 5``` ```jj.approximate <- array.resistance(1,2,15,17,give=FALSE) jj.exact <- 4/pi-1/2 print(jj.exact - jj.approximate) persp(array.resistance(4,0,14,16,give=TRUE),theta=50,r=1e9,expand=0.6) ```

RobinHankin/ResistorArray documentation built on May 24, 2019, 8:50 a.m.