%0 Journal Article
%T 3D_Multi Resistor Electric Circuit
%A Haiduke Sarafian
%J American Journal of Computational Mathematics
%P 342-349
%@ 2161-1211
%D 2023
%I Scientific Research Publishing
%R 10.4236/ajcm.2023.132017
%X This report addresses the issues concerning the analysis of an electric circuit
composed of multiple resistors configured in a 3-Dimension structure. Noting, <i>all</i> the standard textbooks of physics and engineering irrespective of the used
components are circuits assembled in two dimensions. Here, by deviating from
the </span></span><span><span><span style=\"font-family:&quot;\">¡°</span></span></span><span><span><span style=\"font-family:&quot;\">norm</span></span></span><span><span><span style=\"font-family:&quot;\">¡±</span></span></span><span><span><span style=\"font-family:&quot;\"> we consider a case where
the resistors are arranged in a 3D structure; e.g., a cube. Although,
independent of the dimension of the design the same physics principles apply,
transitioning from a 2D to a 3D makes the corresponding analysis considerably
challenging. In general, with no exception, depending on the used components
the analysis faces with solving a set of either algebraic or
differential-algebraic equations. Practically, this interfaces with a Computer
Algebra System (CAS). The main objective is symbolically to identify the
current distributions and the equivalent resistor (s) of cubically assembled
resistors.
%K 3D Electric Circuit
%K Equivalent Resistor
%K Computer Algebra System
%K &lt
%K i&gt
%K Mathematica&lt
%K /i&gt
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=125797