Linear Resistive Networks
Alan Stevens · 2022
Previous chapters have dealt with continuous systems, such that the randomly selected parameters, like radius, angle, etc. could take any value within a certain range. This chapter considers systems that are discrete, in that the randomly selected parameters can only take a number of discrete values. The first examples use linear resistive electrical networks to illustrate the approach. Kirchoff&s;s current law and Ohm&s;s law are for an electric circuit are manipulated to make the connections between nodes in the network look like probabilistic equations. These are then solved for some simple networks using Monte-Carlo simulation. In addition, the method is used to find the steady-state temperature distribution through the centre of a metal slab that has a defect in it.