A Faster Way to Form Linear Circuit Equations — Extended Millman’s Theorem
Linear circuits are typically analyzed using nodal or loop analysis. However, forming these equations can be tedious and error-prone.
This post shows a quicker, more intuitive method based on an extended form of Millman’s Theorem.
Standard Nodal Analysis (Quick Recap) Consider a node connected to others by resistors:
The standard nodal analysis steps are:
Apply Kirchhoff’s Current Law (KCL): sum currents entering and leaving the node:
I1 - I2 …+ IN = 0 Substitute each current using Ohm’s Law: