Method of Analysis

With the use of the two laws which are the Kirchhoff’s Current and Voltage Laws, we can analyze any linear circuits by obtaining a set of simultaneous equations that are being solved to obtain the required values of the node voltages.

Nodal Analysis

            ---provides a general procedure for analyzing circuits using node voltages as the circuits variables assuming that circuits do not contain voltage sources.

Note:

            To determine node voltages, we should select first a node as your reference node.

Then assign voltage V1, V2, Vn-1 to the remaining n-1 nodes. You will apply KCL to each non-reference nodes. Now you can solve for the unknown node voltages.

Let’s consider the principle that current flow from a higher potential to a lower potential in a resistor. Express in:

                                                i = V(higher)- V(lower)

                                                                   R

In solving for the remaining unknown node voltages, there are some standard methods such as substitution method, elimination method, Cramer’s rule or matrix inversion.