Steps of Linear DC Analysis

Linear DC analysis is performed in two steps.

Step1: Formulation of the circuit equations.
Step 2: Solution of a system of linear equations.

I will use an example to illustrate these two steps.


The nodal equations for the above circuit are



Remember that in DC analysis, capacitors are replaced by open circuits.

The linear equations can be put in matrix form

The output of the formulation step is a set of linear equations like the one shown above.

In the solution step, the linear equations are solved to evaluate the vector of unknowns.

In my next posts I will present algorithms for formulating circuits and for solving sets of linear equations.