Circuit analysis using Nodal Analysis Method

The aim of nodal analysis is to determine the voltage at each node relative to the reference node (or ground). Once the voltages are known, currents can be easily calculated.

The analysis follows the following steps:
(1) Pick any node as the voltage reference. Label its voltage as 0 V or the ground. Any value calculated is with respect to this ground or 0 V level.
(2) If any fixed voltage sources are connected to a labelled end, label their other ends by adding the value of the source onto the voltage of the labelled end.
(3) Pick an unlabelled node and label it with  X, Y, . . . or any other convention like V1, V2,..., then go back to step (2) until all nodes are labelled.
4) Use KCL to label determine the currents
5) Use the currents and the resistances in KVL to determine the nodal voltages.

The Following example show how to use the analysis method.